Relevant bibliographies by topics / Conforming FEM

Academic literature on the topic 'Conforming FEM'

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Published: 6 September 2023

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Journal articles on the topic "Conforming FEM"

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Rammerstorfer, Franz, and Martin Schanz. "FEM-BEM coupling with non-conforming interfaces." PAMM 11, no. 1 (December 2011): 487–88. http://dx.doi.org/10.1002/pamm.201110235.

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Wilson, Peter, Tobias Teschemacher, Philipp Bucher, and Roland Wüchner. "Non-conforming FEM-FEM coupling approaches and their application to dynamic structural analysis." Engineering Structures 241 (August 2021): 112342. http://dx.doi.org/10.1016/j.engstruct.2021.112342.

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Margenov, Svetozar, and Nikola Kosturski. "MIC(0) preconditioning of 3D FEM problems on unstructured grids: Conforming and non-conforming elements." Journal of Computational and Applied Mathematics 226, no. 2 (April 2009): 288–97. http://dx.doi.org/10.1016/j.cam.2008.08.033.

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Georgiev, I., J. Kraus, and S. Margenov. "Multilevel preconditioning of rotated bilinear non-conforming FEM problems." Computers & Mathematics with Applications 55, no. 10 (May 2008): 2280–94. http://dx.doi.org/10.1016/j.camwa.2007.11.008.

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Rüberg, Thomas, Martin Schanz, and Gernot Beer. "Non-conforming FEM-BEM coupling for wave propagation phenomena." PAMM 8, no. 1 (December 2008): 10333–34. http://dx.doi.org/10.1002/pamm.200810333.

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Selzer, Philipp, and Olaf A. Cirpka. "Postprocessing of standard finite element velocity fields for accurate particle tracking applied to groundwater flow." Computational Geosciences 24, no. 4 (June 24, 2020): 1605–24. http://dx.doi.org/10.1007/s10596-020-09969-y.

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Abstract Particle tracking is a computationally advantageous and fast scheme to determine travel times and trajectories in subsurface hydrology. Accurate particle tracking requires element-wise mass-conservative, conforming velocity fields. This condition is not fulfilled by the standard linear Galerkin finite element method (FEM). We present a projection, which maps a non-conforming, element-wise given velocity field, computed on triangles and tetrahedra, onto a conforming velocity field in lowest-order Raviart-Thomas-Nédélec ($\mathcal {RTN}_{0}$ R T N 0 ) space, which meets the requirements of accurate particle tracking. The projection is based on minimizing the difference in the hydraulic gradients at the element centroids between the standard FEM solution and the hydraulic gradients consistent with the $\mathcal {RTN}_{0}$ R T N 0 velocity field imposing element-wise mass conservation. Using the conforming velocity field in $\mathcal {RTN}_{0}$ R T N 0 space on triangles and tetrahedra, we present semi-analytical particle tracking methods for divergent and non-divergent flow. We compare the results with those obtained by a cell-centered finite volume method defined for the same elements, and a test case considering hydraulic anisotropy to an analytical solution. The velocity fields and associated particle trajectories based on the projection of the standard FEM solution are comparable to those resulting from the finite volume method, but the projected fields are smoother within zones of piecewise uniform hydraulic conductivity. While the $\mathcal {RTN}_{0}$ R T N 0 -projected standard FEM solution is thus more accurate, the computational costs of the cell-centered finite volume approach are considerably smaller.
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Schedensack, Mira. "A New Generalization of the P1 Non-Conforming FEM to Higher Polynomial Degrees." Computational Methods in Applied Mathematics 17, no. 1 (January 1, 2017): 161–85. http://dx.doi.org/10.1515/cmam-2016-0031.

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AbstractThis paper generalizes the non-conforming FEM of Crouzeix and Raviart and its fundamental projection property by a novel mixed formulation for the Poisson problem based on the Helmholtz decomposition. The new formulation allows for ansatz spaces of arbitrary polynomial degree and its discretization coincides with the mentioned non-conforming FEM for the lowest polynomial degree. The discretization directly approximates the gradient of the solution instead of the solution itself. Besides the a priori and medius analysis, this paper proves optimal convergence rates for an adaptive algorithm for the new discretization. These are also demonstrated in numerical experiments. Furthermore, this paper focuses on extensions of this new scheme to quadrilateral meshes, mixed FEMs, and three space dimensions.
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Margenov, S., and P. Minev. "On a preconditioning of non-conforming mixed FEM elliptic problems." Mathematics and Computers in Simulation 76, no. 1-3 (October 2007): 149–54. http://dx.doi.org/10.1016/j.matcom.2007.01.021.

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Kolev, Tzanio V., and Svetozar D. Margenov. "Two-level preconditioning of pure displacement non-conforming FEM systems." Numerical Linear Algebra with Applications 6, no. 7 (October 1999): 533–55. http://dx.doi.org/10.1002/(sici)1099-1506(199910/11)6:7<533::aid-nla175>3.0.co;2-7.

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XU, X., G. R. LIU, Y. T. GU, and G. Y. ZHANG. "A CONFORMING POINT INTERPOLATION METHOD (CPIM) BY SHAPE FUNCTION RECONSTRUCTION FOR ELASTICITY PROBLEMS." International Journal of Computational Methods 07, no. 03 (September 2010): 369–95. http://dx.doi.org/10.1142/s0219876210002295.

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A conforming point interpolation method (CPIM) is proposed based on the Galerkin formulation for 2D mechanics problems using triangular background cells. A technique for reconstructing the PIM shape functions is proposed to create a continuous displacement field over the whole problem domain, which guarantees the CPIM passing the standard patch test. We prove theoretically the existence and uniqueness of the CPIM solution, and conduct detailed analyses on the convergence rate; computational efficiency and band width of the stiffness matrix of CPIM. The CPIM does not introduce any additional degrees of freedoms compared to the linear FEM and original PIM; while convergence rate of quadratic CPIM is in between that of linear FEM and quadratic FEM which results in the high computational efficiency. Intensive numerical studies verify the properties of the CPIM.
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Dissertations / Theses on the topic "Conforming FEM"

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Cenanovic, Mirza, and Mahdieh Khanmohammadi. "Implementation of a non-conforming rotated Q1 approximation on tetrahedron." Thesis, Högskolan i Halmstad, Sektionen för Informationsvetenskap, Data– och Elektroteknik (IDE), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-15518.

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Our project consists of two parts (A and B). In part A we solve a linear elasticity problem with implementing a rotated  approximation method and simulating the problem in commercial softwares (COMSOL and SolidWorks). To evaluate the results we implement an analytical eigenvalue solver. As a simple case, we use a cube with side length of L = 1m made of Alloy steel with density of 7850 Kg/m^3.  In part B we implement a time dependent linear elasticity problem on a beam made of Alloy steel with density of 7850 Kg/m^3 with size of 1x0.1x0.01m. We use the implicit method to solve our problem. The frequency results in part A show that the rotated Q1 approximation method works more accurate than the commercial software.
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SCIALO', STEFANO. "Development and analysis of a novel optimization approach for the simulation of the flow in large scale discrete fracture networks with non-conforming finite elements / Sviluppo ed analisi di un nuovo approccio per la simulazione del flusso in network discreti di fratture su larga scala basato su un metodo di ottimizzazione ed elementi finiti su griglie non conformi." Doctoral thesis, Politecnico di Torino, 2014. http://hdl.handle.net/11583/2535692.

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The present Thesis reports the description of a new numerical model for the definition of the hydraulic head distribution in Discrete Fracture Networks (DFNs). The solution to the DFN problem is obtained through a PDE constrained minimization approach. The problem on the whole DFN can be split in many small sub-problems on the fractures that can be solved independently from each other, and resorting to the minimization of a cost functional to enforce the compatibility conditions at fracture intersections. In such a way the complexity of the initial problem can be handled more efficiently in parallel computers in an easy and straightforward way, and the meshing process can be performed independently on each fracture and is therefore fast and reliable. Different discretization strategies are investigated to improve the representation of the solution on non-conformng meshes with respect to standard finite elements: the eXtended Finite Elements or th Virtual Finite Elements. Within the proposed approach a mixing of these discretization strategies is possible, improving fexibility in dealing with complex DFN configurations. A large set of numerical results are reported to highlight effectiveness and performances of the method.
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Garg, Deepika. "Generalized local projection stabilized finite element methods for boundary value problems." Thesis, 2020. https://etd.iisc.ac.in/handle/2005/4982.

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The primary goal of this thesis work is to study a priori analysis based on the generalized local projection stabilized (GLPS) finite element methods for the system of linear partial differential equations of first and second-order, such as the advection-reaction equation, the Darcy equations, and the Stokes problems. It is well-known that applying the standard Galerkin finite element method (FEM) to these types of problems induces spurious oscillations in the numerical solution. Nevertheless, the stability and accuracy of the standard Galerkin solution can be enhanced by applying stabilization techniques. Some of the well-known stabilization techniques are the streamline upwind Petrov-Galerkin methods (SUPG), least-squares methods, residual-free bubbles, continuous interior penalty, subgrid viscosity, and local projection stabilization. The main contribution is to introduce and develop a generalized local projection stabilization for the advection-reaction equation and Darcy equations. Initially, we study the generalized local projection stabilization scheme with conforming and nonconforming finite element spaces for an advection-reaction equation. GLPS technique allows the use of projection spaces on overlapping sets and avoids using a two-level mesh or enrichment of finite element space. Since the Laplacian term is missing in the advection-reaction equation, a different approach is used to derive the coercivity with a stronger local projection streamline derivative (LPSD) norm. An important feature of this LPSD norm is that it provides control with respect to streamline derivatives. Note that the LPSD norm is equivalent to the SUPG norm for an appropriate choice of mesh-dependent parameter. Furthermore, weighted edge integrals of the jumps and the averages of the discrete solution at the interfaces need to be added to the nonconforming bilinear form to derive the stability and error estimates for the nonconforming discrete formulation. Though the analysis of nonconforming GLPS is challenging in comparison with the conforming scheme, the nonconforming scheme is preferred in parallel computing. Since the nonconforming shape functions have local support in most two cells, the sparse matrix stencil will be smaller. The communication across MPI processes is minimal, resulting in better scalability. Further, the GLPS finite element method for Darcy equations is developed and analyzed. Here, we propose a mixed finite element formulation with the GLPS technique for the Darcy equations, which avoids H(div,Ω) formulation. The equal-order interpolation spaces (P1/P1) are used to approximate the velocity and pressure approximation. In particular, the use of piecewise linear finite elements for both the velocities and the pressure results in ill-posed discretizations. Therefore, the GLPS is proposed in this work to suppress the oscillations in the approximations. Moreover, the boundary conditions are not used strongly in discrete space; hence, the discrete formulation combines standard Galerkin formulations, stabilization terms, and weakly imposed boundary conditions. The proposed bilinear form satisfies an inf-sup condition with respect to generalized local projection stabilized norm, which leads to the well-posedness of the discrete problem. Moreover, the optimal order of convergence is observed with respect to the GLPS norm. Furthermore, the above approach has also been used to study the Stokes problem. Finally, a priori analysis based on the GLPS Crouzeix-Raviart finite element approximation for the solution of Darcy equations is presented. In the present analysis, two variational stabilization formulations are considered for Darcy equations. The first includes Crouzeix-Raviart (CR) finite element space for the velocity and piecewise constant (P0) polynomial space for the pressure, i.e., (CR/P0), whereas the second includes (CR/CR). The Crouzeix-Raviart space and piecewise constant polynomial space (CR/P0) are an inf-sup stable pair. However, it is known that the finite element pair (CR/P0) does not converge when applied to the Darcy problem. In this work, this convergence issue is managed by GLPS. In the second variant, the pressure is also approximated using the linear nonconforming finite element; that is, CR is used for both velocity and pressure. This equal order finite element pair does not satisfy the inf-sup compatibility, and the GLPS handles the inf-sup violation. Moreover, a first-order convergence is observed for the piecewise constant approximation and 1.5 for the CR finite element approximation of pressure. Finally, the validation of the proposed stabilization schemes is demonstrated with appropriate numerical examples.
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Books on the topic "Conforming FEM"

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L'ordine della corona di ferro e le altre ricompense concesse da Napoleone I nel Regno italico: Con gli elenchi dei decorati, dei titolati e dei donatarî complilati in conformità dei decreti e delle lettere patenti originali e sugli atti ufficiali conservati nell'Archivio di Stato di Milano. Firenze: Phasar, 2014.

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Supplemental contract: Executed in conformity with a resolution of the Board of Directors, passed on the 17th February, 1874. [Quebec?: s.n., 1985.

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Wagner, R. Harrison. Rationalism and Security. Oxford University Press, 2017. http://dx.doi.org/10.1093/acrefore/9780190846626.013.285.

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In 1969, the game theorist John Harsanyi wrote an article criticizing the two main postulates of the general theory of social behavior prevalent at the time: the functionalist approach to the explanation of social institutions and the conformist approach to the explanation of individual behavior. According to Harsanyi, functionalist and conformist theories overstated the degree of consensus in societies, could not account for change, and described observed behavior without explaining it. Harsanyi proposed an alternative approach provided by theories based on the concept of rational choice (rational behavior, or rational decision-making). His goal was to develop a hypothetico-deductive theory explaining (and possibly predicting) a large number of empirical facts from a few relatively simple theoretical assumptions or axioms. Among students of international politics, Harsanyi’s approach sparked a controversy about rationalism. However, some critics of rationalism do not distinguish clearly between the interest-based theories Harsanyi criticized and the rational choice methods he advocated, and some even confuse both with neoclassical economics. In order to understand the issues raised in the controversy about rationalism, it is helpful to look at interest-based theories of politics and their relation to neoclassical economics. Game theory has provided a useful framework for the intellectual agenda outlined by Harsanyi, especially in the area of international security.
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Empson, Laura. Leading Insecure Overachievers. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198744788.003.0006.

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This chapter focuses on the rank-and-file fee-earning professionals. It examines the origins of insecurity among professionals and explains how their organizations amplify and exploit it. Elite professional organizations provide insecure overachieving individuals with the security of exceptional psychic as well as financial rewards through offers of employment. This chapter explains how and why professionals enjoy the comforts of being associated with an elite organization and how they are able to incorporate its elite status into their own identity. ‘Comforting’ social control mechanisms embodied in strong cultures can translate into cult-like conformity among senior professionals. This chapter, therefore, also explores the dark side of social control and its most typical manifestation—overwork. It asks: why do senior professionals ‘choose’ to exercise their autonomy by overworking to such an extent that they risk their personal relationships and physical and mental health? It concludes by examining the responsibilities of leaders in this context.
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Whittle, Ian. Head injury. Oxford University Press, 2011. http://dx.doi.org/10.1093/med/9780198569381.003.0589.

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Head injury or traumatic brain injury is a ubiquitous phenomenon in all societies and affects up to 2 per cent of the population per year (Bullock et al. 2006). Although the causes of head injury and its distribution within populations vary, it can have devastating consequences both for the patient and family (Tagliaferri et al. 2006). In some countries severe traumatic brain injury is the commonest cause of death in people under 40 years (Lee et al. 2006), and it is estimated that the sequelae of head injury cost societies billions of dollars per year. Understanding of the pathophysiology, diagnosis, and management have all improved dramatically in the last few decades (Steudel et al. 2005). However within western society, perhaps one of the greatest benefits has been the reduction in severe craniocerebral injuries following motor vehicle accidents. This has arisen because of increased safety in car design, seat-belt legislation, the introduction of air-bags, enforcement of speed limits, and the societal conformity to drink-driving legislation. For instance, because of these changes, in the last 15 years the number of severe head injuries managed in the Clinical Neuroscience unit in Edinburgh has decreased by around 66 per cent. Unfortunately in some developing countries one legacy of increased traffic, particularly of motor cycles, is an epidemic of head injuries amongst young adults (Lee et al. 2006). With the number of severe head injuries declining in many countries the challenge will be to provide better care for patients with minor head injury, about 10 times more common than severe injury (Steudel et al. 2005).Ageing patients who tend to fall over, falls associated with increased alcohol consumption, and domestic or social assaults probably now contribute to the majority of head injuries (Flanagan et al. 2005; Steudel et al. 2005; Tagliaferri et al. 2006). Sporting injuries are fortunately uncommon as a cause of severe craniocerebral injury, although horse riding accidents can sometimes be devastating particularly in teenage girls. In some countries injuries from hand guns and other missiles are common (Aryan et al. 2005), but in European countries many such injuries are self-inflicted. Prompt management of intracranial haematoma, which occurs in 25–45 per cent of severe head injuries, 3–12 per cent of moderate injuries, and 0.2 per cent of minor injuries, and the rehabilitation of patients with head injury are now important areas in clinical neuroscience (Flanagan et al. 2005; Bullock et al. 2006b, c).
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Book chapters on the topic "Conforming FEM"

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Boyanova, P., M. Do-Quang, and M. Neytcheva. "Block-Preconditioners for Conforming and Non-conforming FEM Discretizations of the Cahn-Hilliard Equation." In Large-Scale Scientific Computing, 549–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29843-1_62.

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Schnack, E., R. Carmine, I. Becker, and N. Karaosmanoglu. "Mixed Non-Conforming Technique for Coupling FEM and BEM." In Computational Mechanics ’88, 124–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-61381-4_30.

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Blaheta, Radim, Svetozar Margenov, and Maya Neytcheva. "Aggregation-Based Multilevel Preconditioning of Non-conforming FEM Elasticity Problems." In Applied Parallel Computing. State of the Art in Scientific Computing, 847–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11558958_102.

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Kolev, Tzanio, and Svetozar Margenov. "AMLI Preconditioning of Pure Displacement Non-conforming Elasticity FEM Systems." In Lecture Notes in Computer Science, 482–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45262-1_56.

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Blaheta, Radim. "Application of Hierarchical Decomposition: Preconditioners and Error Estimates for Conforming and Nonconforming FEM." In Large-Scale Scientific Computing, 78–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78827-0_7.

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Boyanova, P. T., and S. D. Margenov. "Multilevel Splitting of Weighted Graph-Laplacian Arising in Non-conforming Mixed FEM Elliptic Problems." In Lecture Notes in Computer Science, 216–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00464-3_22.

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Lube, Gert, and Philipp W. Schroeder. "Implicit LES with High-Order H(div)-Conforming FEM for Incompressible Navier-Stokes Flows." In Lecture Notes in Computational Science and Engineering, 157–70. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41800-7_10.

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Lazarov, Raytcho D., and Svetozar D. Margenov. "On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems." In Numerical Methods and Applications, 192–201. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-36487-0_21.

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Böhmer, Klaus. "Conforming finite element methods (FEMs)." In Numerical Methods for Nonlinear Elliptic Differential Equations, 209–95. Oxford University Press, 2010. http://dx.doi.org/10.1093/acprof:oso/9780199577040.003.0004.

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"Frontmatter." In Creeping Conformity, i—iv. University of Toronto Press, 2004. http://dx.doi.org/10.3138/9781442627642-fm.

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Conference papers on the topic "Conforming FEM"

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KOLEV, TZANIO V., and SVETOZAR D. MARGENOV. "MULTILEVEL HB PRECONDITIONING OF NON-CONFORMING FEM SYSTEMS." In Proceedings of the Fourth International Conference. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814291071_0060.

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Salzmann, Eugen, Florian Zwickey, and Stefanie Elgeti. "Computing the jump-term in space-time FEM for arbitrary temporal interpolation." In VI ECCOMAS Young Investigators Conference. València: Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.12588.

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One approach with rising popularity in analyzing time-dependent problems in scienceand engineering is the so-called space-time finite-element method that utilized finiteelementsin both space and time. A common ansatz in this context is to divide the meshin temporal direction into so-called space-time slabs, which are subsequently weaklyconnected in time with a Discontinuous Galerkin approach. The corresponding jumpterm,which is responsible for imposing the weak continuity across space-time slabs canbe challenging to compute, in particular in the context of deforming domains. Ensuringa conforming discretization of the space-time slab at the top and bottom in timedirection simplifies the handling of this term immensely. Otherwise, a computationallyexpensive and error prone projection of the solution from one time-level to another isnecessary. However, when it comes to simulations with deformable domains, e.g. forfree-surface flows, ensuring conforming meshes is quite laborious. A possible solutionto this challenge is to extrude a spatial mesh in time at each time-step resulting in theso-called time-discontinuous prismatic space-time (D-PST) method[1]. However, thisprocedure is restricted to finite-elements of 1st order in time.We present a novel algorithmic approach for arbitrarily discretized meshes by flippingthe mesh in time-direction for each time-step. This ansatz allows for a simple evaluationof the jump-term as the mesh is always conforming. The cost of flipping the mesharound its symmetry plane in time scales with the number of nodes, which makes itcomputationally cheaper than an additional update of the mesh to enforce conformity orthe evaluation of a projection. We validate the approach on various physical problemswith and without deforming domains.
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Zhang, Kaidi, Yunqing Zhang, Junwei Shi, and Weili Kong. "Modeling of Lunar Rover Vehicle Wheel-Soil Interaction Using Fem-Dem Method." In 11th Asia-Pacific Regional Conference of the ISTVS. International Society for Terrain-Vehicle Systems, 2022. http://dx.doi.org/10.56884/otlt5367.

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Apollo Lunar Rover Vehicle (LRV) used wire mesh wheels to adapt to the loose and soft soil conditions on the lunar surface, aimed to meet the mobility performance of LRV on the moon. Therefore, it is of great significance to study the wheel-soil interaction characteristics of the wire mesh wheel to improve the maneuverability and traction performance of LRVs. This paper proposed a coupled analysis method of wire mesh wheel-soil based on the DEM-FEM method. Firstly, a lunar terrain DEM model was established, which conforming to the physical characteristics of the lunar soil. Then, a FEM model of the flexible wire mesh wheel with large deformation characteristics was developed, which was verified by stiffness tests. In addition, the mobility performance of the wheel model developed were studied under different slip rates and sideslip angles, respectively. The simulation results were compared and validated with NASA experiment data. The results can provide technical support for the coupling simulation of wire mesh wheels and the traction characteristics of LRV.
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Ferguson, J., J. Kópházi, and M. D. Eaton. "Polygonal Virtual Element Spatial Discretisation Methods for the Neutron Diffusion Equation With Applications in Nuclear Reactor Physics." In 2018 26th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/icone26-81317.

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In this paper the application of the virtual element method (VEM) to the multigroup, neutron diffusion equation will be presented. The VEM is a recently developed Bubnov-Galerkin spatial discretisation method based largely on the mimetic finite difference method (MFD) that preserves the properties of the underlying vector operators. It can discretise elliptic partial differential equations (PDEs) on arbitrary polygonal/polyhedral meshes with arbitrary order and regularity. Deterministic, geometry conforming methods, used to solve multigroup, neutron diffusion, nuclear reactor physics problems have historically used the finite element method (FEM). However, FEM requires high-quality meshes with few highly distorted elements (elements with a poor aspect ratio) or it may may experience convergence problems. The process of creating high quality meshes, even with automated mesh generation algorithms, such as the advancing front and Delaunay methods, is often very time consuming. For these reasons VEM is being studied in this paper as a possible alternative to FEM in the numerical solution of neutron diffusion problems in nuclear reactor physics. A C5G7 UOX pincell problem is presented to demonstrate the application of VEM to mutligroup diffusion problem. The method of manufactured solutions (MMS) is used to determine the order of convergence.
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Iwanowski, Bogdan, Rune Gladso̸, and Marc Lefranc. "Wave-In-Deck Load on a Jacket Platform, CFD-Derived Pressures and Non-Linear Structural Response." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79053.

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The paper presents an industrial application of CFD and non-linear structural response codes in offshore technology. A Wave-In-Deck load due to an extreme wave, acting on a jacket platform, is studied numerically. Particular attention is given to details of local flow and local non-linear dynamical response of the structure. A very detailed FEM model of the platform deck structure, composed of shell elements, is embedded into a non body-conforming CFD grid of computational cells. The applied CFD code is a Navier-Stokes equation solver with an improved Volume of Fluid (iVOF) method employed to displace and re-construct fluid’s free surface and uses a simple, Cartesian grid. The two computational grids, FEM and CFD, are independent. The challenge of a direct mapping of CFD-derived fluid pressures onto structural FEM shell elements is addressed. Then the non-linear dynamical response of the structure is found in time domain. The employed CFD code is ComFLOW while the FEM part is handled by the well-known commercial program LS-DYNA. The composed approach utilizes both robustness of VOF-based methods in tracking of the fluid’s free surface and reliability of FEM structural codes such as LS-DYNA.
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Kumar, Ashok V., and Ravi K. Burla. "Finite Element Analysis Using Uniform B-Spline Basis." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49696.

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Implicit boundary finite element method uses structured grids for analysis instead of a conforming finite element mesh. The geometry of the structure is represented independently using curve / surface equations. These equations are used to apply boundary conditions even though there may not be nodes available on the boundary. In this paper, this method is applied for analysis using uniform B-spline basis defined over structured grids. Solutions can be constructed that are C1 or C2 continuous throughout the analysis domain using B-spline basis functions. Therefore, the computed stress and strain are continuous in the analysis domain thus eliminating the need for smoothing stress/strain results. Compared to conforming mesh, it is easier to generate structured grids that overlap the geometry and the elements in the grid are regular shaped and undistorted. Numerical examples are presented to demonstrate the performance of these B-spline elements. The results are compared with analytical solutions as well as traditional finite element solutions. Convergence studies for several examples show that B-spline elements provide accurate solutions with fewer elements and nodes as compared to traditional finite element method (FEM).
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Hikita, Y., and T. Kato. "Numerical Simulations of Soft Coating Deformation by Particle Method." In ASME/STLE 2007 International Joint Tribology Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ijtc2007-44174.

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Conformability is one of the most important property for sliding bearings at the initial running-in stage. In order to improve this property, most bearings are coated with a soft overlay by several microns in thickness. The conformability relates closely to the plastic deformation and the slight wear of the coating made of resin or soft metal. To evaluate this conforming process, various tests have been conducted, and at the same time numerical simulations needs to be established. We try to develop a numerical simulation by a discrete particle method for analyzing elastic-plastic deformation of a soft coating. This particle method treats relatively larger space scale (discrete particles at 1 micron intervals) compared to the molecular dynamics simulations (MD). And there is no element consisting of nodes unlike finite element method (FEM). Therefore the particle method is convenient for treating failure behaviors (delamination or adhesion). But until now particle methods have never been applied for tribological soft coatings. So we have established a particle method for analyzing elastic-plastic deformation of the coatings in micron order scale and 3D system. Indentation tests were conducted to evaluate elastic-plastic deformations in several simulations and experiments, because indentation tests are popular for soft or hard tribological coatings to evaluate their elastic and plastic properties. In each test, the indenter is loaded and subsequently unloaded. During the loading-unloading process, the load and indentation depth relations were evaluated. In simulations by the discrete particle method, the elasticplastic deformations were reproduced. These results coincide with the prediction that the elastic deformations relate to both loading and unloading processes whereas the plastic deformations relate to only loading process. These tendencies are confirmed by the relations of load and indentation depth. In addition, compared several simulations with several experiments, the deformations of soft coatings made of resin or soft metal were well described by the discrete particle models with two parameters of Young’s modulus and yield stress.
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8

Kumar, Goldy, and Vadim Shapiro. "Analysis of Multi-Material Bonded Assemblies on a Non-Conforming Mesh." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70748.

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Bonded multi-material assemblies arise frequently in design, manufacturing, architecture, and materials design. It is a common wisdom that finite element analysis of such assemblies usually requires all components to be represented by compatible finite element meshes; application of meshfree methods in such situations is often considered problematic due to the need to impose additional interface conditions. Neither approach scales to deal with realistically complex models arising in many applications. We propose a simple extension of meshfree analysis on a non-conforming mesh for linear structural analysis of such multimaterial assemblies. The method is simple, can be implemented within most FEA packages and does not require either compatible meshing or complex interface boundary conditions. Our numerical experiments demonstrate that computed results are in good agreement with known analytical and computational results for well studied multi-material bonded assemblies (lap and butt joints). We also demonstrate application of the proposed method to realistically complex assembly of a mounted sculpture that cannot be easily analysed by other methods.
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9

Yao, Guangfa. "A Simple Immersed Boundary Method for Modeling Forced Convection Heat Transfer." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10236.

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Abstract As non-body conforming numerical methods using simple Cartesian mesh, immersed boundary methods have become increasingly popular in modeling fluid-solid interaction. They usually do this by adding a body force term in the momentum equation. The magnitude and direction of this body force ensure that the boundary condition on the solid-fluid interface is satisfied without invoking complicated body-conforming numerical methods to impose the boundary condition. A similar path has been followed to model forced convection heat transfer by adding a source term in the energy equation. The added source term will ensure that thermal boundary conditions on the solid-fluid interface are imposed without invoking a boundary conforming mesh. These approaches were developed to handle the Dirichlet boundary condition (constant wall temperature). Few of them deal with the Neumann boundary condition (constant wall heat flux). This paper presents a simple new immersed boundary method. It can deal with the Dirichlet boundary condition, Neumann boundary condition and conjugated heat transfer by adding an energy source or sink term in the energy conservation equation. The presented approach is validated against the analytical solutions and a very good match is achieved.
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10

Murari, Krishna, Harvinder Singh, and Savleen Takkar. "Performance-based methodology for seismic assessment of code- conforming RC buildings." In IABSE Congress, Christchurch 2021: Resilient technologies for sustainable infrastructure. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2021. http://dx.doi.org/10.2749/christchurch.2021.1079.

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<p>The current Indian code for seismic design of structures is based on the force-based design (FBD) philosophy but the damage is more related to strain and displacement rather than strength. Also, structures can’t be designed for target design objectives by FBD method under a specified hazard level. Hence it became necessary to develop new codes and standards based on more robust design methodology to overcome the various shortcomings. The paper presents the results of a study conducted to evaluate the effect of provisions mandated by BIS design guidelines on the performance of a multi-storeyed building in event of a seismic activity. The performance of the building was evaluated on the parameters given in the FEMA guidelines. It was observed that the RC buildings designed as per Indian standard is found to be under-utilized and its overstrength ratio is observed to be of order two, leading to uneconomical design as compared to the building designed according to Performance based methodology for achieving a similar value of the performance level.</p>
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Reports on the topic "Conforming FEM"

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Martín, A., L. Cirrottola, A. Froehly, R. Rossi, and C. Soriano. D2.2 First release of the octree mesh-generation capabilities and of the parallel mesh adaptation kernel. Scipedia, 2021. http://dx.doi.org/10.23967/exaqute.2021.2.010.

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This document presents a description of the octree mesh-generation capabilities and of the parallel mesh adaptation kernel. As it is discussed in Section 1.3.2 of part B of the project proposal there are two parallel research lines aimed at developing scalable adaptive mesh refinement (AMR) algorithms and implementations. The first one is based on using octree-based mesh generation and adaptation for the whole simulation in combination with unfitted finite element methods (FEMs) and the use of algebraic constraints to deal with non-conformity of spaces. On the other hand the second strategy is based on the use of an initial octree mesh that, after make it conforming through the addition of templatebased tetrahedral refinements, is adapted anisotropically during the calculation. Regarding the first strategy the following items are included:
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