Relevant bibliographies by topics / Higher order finite element

Academic literature on the topic 'Higher order finite element'

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Published: 14 March 2023

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Journal articles on the topic "Higher order finite element"

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Oskooei, S., and J. S. Hansen. "Higher-Order Finite Element for Sandwich Plates." AIAA Journal 38, no. 3 (March 2000): 525–33. http://dx.doi.org/10.2514/2.991.

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Yuan, Fuh-Gwo, and Robert E. Miller. "Higher-order finite element for short beams." AIAA Journal 26, no. 11 (November 1988): 1415–17. http://dx.doi.org/10.2514/3.10059.

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Oskooei, S., and J. S. Hansen. "Higher-order finite element for sandwich plates." AIAA Journal 38 (January 2000): 525–33. http://dx.doi.org/10.2514/3.14442.

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Zhang, Qinghui, Uday Banerjee, and Ivo Babuška. "Higher order stable generalized finite element method." Numerische Mathematik 128, no. 1 (January 18, 2014): 1–29. http://dx.doi.org/10.1007/s00211-014-0609-1.

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Omerović, Samir, and Thomas-Peter Fries. "Higher-order conformal decomposition finite element method." PAMM 16, no. 1 (October 2016): 855–56. http://dx.doi.org/10.1002/pamm.201610416.

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Olesen, K., B. Gervang, J. N. Reddy, and M. Gerritsma. "A higher-order equilibrium finite element method." International Journal for Numerical Methods in Engineering 114, no. 12 (February 28, 2018): 1262–90. http://dx.doi.org/10.1002/nme.5785.

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Liu, Liping, Kevin B. Davies, Michal Křížek, and Li Guan. "On Higher Order Pyramidal Finite Elements." Advances in Applied Mathematics and Mechanics 3, no. 2 (April 2011): 131–40. http://dx.doi.org/10.4208/aamm.09-m0989.

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AbstractIn this paper we first prove a theorem on the nonexistence of pyramidal polynomial basis functions. Then we present a new symmetric composite pyramidal finite element which yields a better convergence than the nonsymmetric one. It has fourteen degrees of freedom and its basis functions are incomplete piecewise triquadratic polynomials. The space of ansatz functions contains all quadratic functions on each of four subtetrahedra that form a given pyramidal element.
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Zhang, Yi Xia, and Chun Hui Yang. "Laminated Plate Elements Based on Higher-Order Shear Deformation Theories." Advanced Materials Research 32 (February 2008): 119–24. http://dx.doi.org/10.4028/www.scientific.net/amr.32.119.

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Efficient and accurate finite elements are crucial for finite element analysis to provide adequate prediction of the structural behavior. A large amount of laminated plate elements have been developed for finite element analysis of laminated composite plates based on the various lamination theories. A recent and complete review of the laminated finite elements based on the higher-order shear deformation theories, including the global higher-order theories, zig-zag theories and the global-local higher-order theories is presented in this paper. Finally some points on the development of the laminated plate elements are summarized.
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LOU, ZHENG, and JIAN-MING JIN. "Higher Order Finite Element Analysis of Finite-by-Infinite Arrays." Electromagnetics 24, no. 7 (January 2004): 497–514. http://dx.doi.org/10.1080/02726340490496338.

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Maniatty, Antoinette M., Yong Liu, Ottmar Klaas, and Mark S. Shephard. "Higher order stabilized finite element method for hyperelastic finite deformation." Computer Methods in Applied Mechanics and Engineering 191, no. 13-14 (January 2002): 1491–503. http://dx.doi.org/10.1016/s0045-7825(01)00335-8.

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Dissertations / Theses on the topic "Higher order finite element"

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Oskooei, Saeid G. "A higher order finite element for sandwich plate analysis." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape17/PQDD_0014/MQ34105.pdf.

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El-Esber, Lina. "Hierarchal higher order finite element modeling of periodic structures." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=82483.

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Periodic structures play an important role in engineering since they allow the manipulation of the electromagnetic properties of certain materials. To design such structures and investigate their different properties, it is essential to use simulation techniques. Among the various methods that have been used traditionally, the finite element method offers great advantages. In this thesis, a three dimensional finite element method is used to obtain the band diagrams of periodic structures; hierarchal higher-order elements are employed, thereby opening up the possibility of goal oriented h-p adaptivity. The computed dispersion curves for doubly-periodic and triply-periodic metallic structures are presented and compared to previously published curves. The results confirm the accuracy of the finite element formulation developed in this thesis and its implementation. Further, the triply-periodic results support the case for using higher-order, less dense meshes rather than lower-order, more highly refined meshes; the doubly-periodic results are inconclusive.
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Wagner, Carlee F. "Improving shock-capturing robustness for higher-order finite element solvers." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/101498.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2015.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 81-91).
Simulation of high speed flows where shock waves play a significant role is still an area of development in computational fluid dynamics. Numerical simulation of discontinuities such as shock waves often suffer from nonphysical oscillations which can pollute the solution accuracy. Grid adaptation, along with shock-capturing methods such as artificial viscosity, can be used to resolve the shock by targeting the key flow features for grid refinement. This is a powerful tool, but cannot proceed without first converging on an initially coarse, unrefined mesh. These coarse meshes suffer the most from nonphysical oscillations, and many algorithms abort the solve process when detecting nonphysical values. In order to improve the robustness of grid adaptation on initially coarse meshes, this thesis presents methods to converge solutions in the presence of nonphysical oscillations. A high order discontinuous Galerkin (DG) framework is used to discretize Burgers' equation and the Euler equations. Dissipation-based globalization methods are investigated using both a pre-defined continuation schedule and a variable continuation schedule based on homotopy methods, and Burgers' equation is used as a test bed for comparing these continuation methods. For the Euler equations, a set of surrogate variables based on the primitive variables (density, velocity, and temperature) are developed to allow the convergence of solutions with nonphysical oscillations. The surrogate variables are applied to a flow with a strong shock feature, with and without continuation methods, to demonstrate their robustness in comparison to the primitive variables using physicality checks and pseudo-time continuation.
by Carlee F. Wagner.
S.M.
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Li, Ming-Sang. "Higher order laminated composite plate analysis by hybrid finite element method." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/40145.

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Bonhaus, Daryl Lawrence. "A Higher Order Accurate Finite Element Method for Viscous Compressible Flows." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/29458.

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The Streamline Upwind/Petrov-Galerkin (SU/PG) method is applied to higher-order finite-element discretizations of the Euler equations in one dimension and the Navier-Stokes equations in two dimensions. The unknown flow quantities are discretized on meshes of triangular elements using triangular Bezier patches. The nonlinear residual equations are solved using an approximate Newton method with a pseudotime term. The resulting linear system is solved using the Generalized Minimum Residual algorithm with block diagonal preconditioning. The exact solutions of Ringleb flow and Couette flow are used to quantitatively establish the spatial convergence rate of each discretization. Examples of inviscid flows including subsonic flow past a parabolic bump on a wall and subsonic and transonic flows past a NACA 0012 airfoil and laminar flows including flow past a a flat plate and flow past a NACA 0012 airfoil are included to qualitatively evaluate the accuracy of the discretiza-tions. The scheme achieves higher order accuracy without modification. Based on the test cases presented, significant improvement of the solution can be expected using the higher-order schemes with little or no increase in computational requirements. The nonlinear sys-tem also converges at a higher rate as the order of accuracy is increased for the same num-ber of degrees of freedom; however, the linear system becomes more difficult to solve. Several avenues of future research based on the results of the study are identified, includ-ing improvement of the SU/PG formulation, development of more general grid generation strategies for higher order elements, the addition of a turbulence model to extend the method to high Reynolds number flows, and extension of the method to three-dimensional flows. An appendix is included in which the method is applied to inviscid flows in three dimensions. The three-dimensional results are preliminary but consistent with the findings based on the two-dimensional scheme.
Ph. D.
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Garbin, Turpaud Fernando, and Pachas Ángel Alfredo Lévano. "Higher-order non-local finite element bending analysis of functionally graded." Bachelor's thesis, Universidad Peruana de Ciencias Aplicadas (UPC), 2019. http://hdl.handle.net/10757/626024.

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La teoría de vigas de Timoshenko TBT y una teoría de alto orden IFSDT son formuladas utilizando las ecuaciones constitutivas no locales de Eringen. Se utilizaron ecuaciones constitutivas en 3D en el modelo IFSDT. Se utilizó una variación del material con el uso de materiales funcionalmente graduados a lo largo del peralte de una viga de sección rectangular. El principio de trabajos virtuales utilizado y ejemplos numéricos fueron presentados para comparar ambas teorías de vigas.
Timoshenko Beam Theory (TBT) and an Improved First Shear Deformation Theory (IFSDT) are reformulated using Eringen’s non-local constitutive equations. The use of 3D constitutive equation is presented in IFSDT. A material variation is made by the introduction of FGM power law in the elasticity modulus through the height of a rectangular section beam. The virtual work statement and numerical results are presented in order to compare both beam theories.
Tesis
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鍾偉昌 and Wai-cheong Chung. "Geometrically nonlinear analysis of plates using higher order finite elements." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31207601.

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Chung, Wai-cheong. "Geometrically nonlinear analysis of plates using higher order finite elements /." [Hong Kong : University of Hong Kong], 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12225022.

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Marais, Neilen. "Higher order hierarchal curvilinear triangular vector elements for the finite element method in computational electromagnetics." Thesis, Stellenbosch : Stellenbosch University, 2003. http://hdl.handle.net/10019.1/53447.

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Thesis (MScEng)--Stellenbosch University, 2003.
ENGLISH ABSTRACT: The Finite Element Method (FEM) as applied to Computational Electromagnetics (CEM), can be used to solve a large class of Electromagnetics problems with high accuracy, and good computational efficiency. Computational efficiency can be improved by using element basis functions of higher order. If, however, the chosen element type is not able to accurately discretise the computational domain, the converse might be true. This paper investigates the application of elements with curved sides, and higher order basis functions, to computational domains with curved boundaries. It is shown that these elements greatly improve the computational efficiency of the FEM applied to such domains, as compared to using elements with straight sides, and/or low order bases.
AFRIKAANSE OPSOMMING: Die Eindige Element Metode (EEM) kan breedvoerig op Numeriese Elektromagnetika toegepas word, met uitstekende akkuraatheid en 'n hoë doeltreffendheids vlak. Numeriese doeltreffendheid kan verbeter word deur van hoër orde element basisfunksies gebruik te maak. Indien die element egter nie die numeriese domein effektief kan diskretiseer nie, mag die omgekeerde geld. Hierdie tesis ondersoek die toepassing van elemente met geboë sye, en hoër orde basisfunksies, op numeriese domeine met geboë grense. Daar word getoon dat sulke elemente 'n noemenswaardinge verbetering in die numeriese doeltreffendheid van die EEM meebring, vergeleke met reguit- en/of laer-orde elemente.
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Couchman, Benjamin Luke Streatfield. "On the convergence of higher-order finite element methods to weak solutions." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/115685.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2018.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 77-79).
The ability to handle discontinuities appropriately is essential when solving nonlinear hyperbolic partial differential equations (PDEs). Discrete solutions to the PDE must converge to weak solutions in order for the discontinuity propagation speed to be correct. As shown by the Lax-Wendroff theorem, one method to guarantee that convergence, if it occurs, will be to a weak solution is to use a discretely conservative scheme. However, discrete conservation is not a strict requirement for convergence to a weak solution. This suggests a hierarchy of discretizations, where discretely conservative schemes are a subset of the larger class of methods that converge to the weak solution. We show here that a range of finite element methods converge to the weak solution without using discrete conservation arguments. The effect of using quadrature rules to approximate integrals is also considered. In addition, we show that solutions using non-conservation working variables also converge to weak solutions.
by Benjamin Luke Streatfield Couchman.
S.M.
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Books on the topic "Higher order finite element"

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Karel, Segeth, and Dolez̆el Ivo, eds. Higher-order finite element methods. Boca Raton, Fla: Chapman & Hall/CRC, 2004.

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Oskooei, Saeid G. A higher order finite element for sandwich plate analysis. Ottawa: National Library of Canada, 1998.

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Reddy, J. N. A higher-order theory for geometrically nonlinear analysis of composite laminates. Hampton, Va: Langley Research Center, 1987.

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Yan, Jue. Local discontinuous Galerkin methods for partial differential equations with higher order derivates. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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1936-, Oden J. Tinsley, and George C. Marshall Space Flight Center., eds. Final report on second order tensor finite element. Austin, Tex: Computational Mechanic Co., Inc., 1990.

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M, Toossi, and Langley Research Center, eds. Finite element modeling of the higher harmonic controlled OH-6A helicopter airframe. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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Sehmi, N. S. Large order structural eigenanalysis techniques: Algorithms for finite element systems. Chichester, West Sussex, England: Ellis Horwood, 1989.

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Qu, Zu-Qing. Model Order Reduction Techniques: With Applications in Finite Element Analysis. London: Springer London, 2004.

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Mulder, T. F. O. De. FEGAS: A finite element solver for 2D viscous incompressible gas flows using SUPG/PSPG stabilized piecewise linear equal-order velocity-pressure interpolation on unstructured triangular grids. Rhode Saint Genese, Belgium: von Karman Institute for Fluid Dynamics, 1994.

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Elsner, Guido. Distributions of values of indefinite forms and higher-order spectral estimates for finite Markov chains. Bielefeld: [s.n.], 2007.

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Book chapters on the topic "Higher order finite element"

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Duczek, S., C. Willberg, and U. Gabbert. "Higher Order Finite Element Methods." In Lamb-Wave Based Structural Health Monitoring in Polymer Composites, 117–59. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49715-0_6.

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Ern, Alexandre, and Jean-Luc Guermond. "Higher-order approximation." In Finite Elements III, 367–82. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57348-5_82.

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Lyu, Yongtao. "High Order Lagrange Element." In Finite Element Method, 171–94. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9_8.

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Ern, Alexandre, and Jean-Luc Guermond. "Higher-order approximation and limiting." In Finite Elements III, 383–400. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57348-5_83.

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Eslami, M. Reza. "One-Dimensional Higher Order Elements." In Finite Elements Methods in Mechanics, 285–312. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08037-6_14.

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Eslami, M. Reza. "Two-Dimensional Higher Order Elements." In Finite Elements Methods in Mechanics, 313–30. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08037-6_15.

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Kaveh, A. "Optimal Force Method for FEMS: Higher Order Elements." In Computational Structural Analysis and Finite Element Methods, 281–339. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02964-1_7.

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Khursheed, Anjam. "High-Order Elements." In The Finite Element Method in Charged Particle Optics, 99–110. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-5201-7_5.

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Temizer, lker. "Higher-Order Finite Element Methods for Kohn-Sham Density Functional Theory." In Current Trends and Open Problems in Computational Mechanics, 527–35. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-87312-7_51.

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Riesselmann, Johannes, Jonas Wilhelm Ketteler, Mira Schedensack, and Daniel Balzani. "Robust and Efficient Finite Element Discretizations for Higher-Order Gradient Formulations." In Non-standard Discretisation Methods in Solid Mechanics, 69–90. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-92672-4_3.

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Conference papers on the topic "Higher order finite element"

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Zheng Lou and Jian-Ming Jin. "Higher-order finite element analysis of finite-by-infinite arrays." In IEEE Antennas and Propagation Society Symposium, 2004. IEEE, 2004. http://dx.doi.org/10.1109/aps.2004.1330101.

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Oskooei, S., and J. Hansen. "A higher order finite element for sandwich plates." In 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1998. http://dx.doi.org/10.2514/6.1998-1715.

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Khardekar, Rahul, and David Thompson. "Rendering higher order finite element surfaces in hardware." In the 1st international conference. New York, New York, USA: ACM Press, 2003. http://dx.doi.org/10.1145/604471.604512.

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Troutman, Roy, and Nelson L. Max. "Radiosity algorithms using higher order finite element methods." In the 20th annual conference. New York, New York, USA: ACM Press, 1993. http://dx.doi.org/10.1145/166117.166144.

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Smith, James. "Higher order finite element solutions for thick plate buckling." In 37th Structure, Structural Dynamics and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-1614.

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Garcia-Donoro, Daniel, Ignacio Martinez-Fernandez, Luis E. Garcia-Castillo, and Magdalena Salazar-Palma. "HOFEM: A higher order finite element method electromagnetic simulator." In 2015 IEEE International Conference on Computational Electromagnetics (ICCEM). IEEE, 2015. http://dx.doi.org/10.1109/compem.2015.7052537.

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Garcia-Donoro, D., A. Amor-Martin, L. E. Garcia-Castillo, M. Salazar-Palma, and T. K. Sarkar. "HOFEM: Higher order finite element method simulator for antenna analysis." In 2016 IEEE Conference on Antenna Measurements & Applications (CAMA). IEEE, 2016. http://dx.doi.org/10.1109/cama.2016.7815776.

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Manic, Ana B., Branislav M. Notaros, and Milan M. Ilic. "Symmetric coupling of finite element method and method of moments using higher order elements." In 2012 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting. IEEE, 2012. http://dx.doi.org/10.1109/aps.2012.6348569.

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Baki, György. "Finite‐element elastic modeling using irregular grids and higher‐order elements: Some practical issues." In SEG Technical Program Expanded Abstracts 1993. Society of Exploration Geophysicists, 1993. http://dx.doi.org/10.1190/1.1822342.

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Browning, Robert S., Kent T. Danielson, and Mark D. Adley. "Higher-order finite elements for lumped-mass explicit modeling of high-speed impacts." In 2019 15th Hypervelocity Impact Symposium. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/hvis2019-111.

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Abstract Classical finite element analysis (FEA) continues to be a primary computational method of choice for most solid mechanics applications and the explicit method is significantly used in the defense industry for high-speed impact analysis. The explicit lumped-mass approach, without a stiffness matrix, is well suited for rapidly changing/high rate short duration applications, but can produce distinct nuances and severely affect element performances differently than in typical static/implicit methods. In contrast to automatic tetrahedral meshing approaches applied to the entire volume, hexahedral-dominant modeling methods (e.g., [1-3]) attempt to mesh with all hexahedral elements and then automation with other element types is applied only to regions where the Hex mesher has trouble. The methods typically use wedge and/or pyramid elements to transition from hexahedral elements to fill volumes with other types. This results in models that typically have much fewer elements than with “all-Tet” approaches and generally contain the more desirable hex elements in large regions of the mesh. In this paper, the four 2nd order element types depicted in Fig. 1 are used, which authors [4-6] have found to mass lump well for explicit methods and have well-defined contact Fig. 1. 15-node tetrahedron, 19-node pyramid, 21-node wedge, and 27-node hexahedron type finite element topologies used in this paper; serendipity element versions are obtained by omitting the nodes on all faces and at the centroid
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Reports on the topic "Higher order finite element"

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Thompson, David C., Philippe Pierre Pebay, Richard H. Crawford, and Rahul Vinay Khardekar. Visualization of higher order finite elements. Office of Scientific and Technical Information (OSTI), April 2004. http://dx.doi.org/10.2172/919127.

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White, D., M. Stowell, J. Koning, R. Rieben, A. Fisher, N. Champagne, and N. Madsen. Higher-Order Mixed Finite Element Methods for Time Domain Electromagnetics. Office of Scientific and Technical Information (OSTI), February 2004. http://dx.doi.org/10.2172/15014733.

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Jiang, W., and Benjamin W. Spencer. Modeling 3D PCMI using the Extended Finite Element Method with higher order elements. Office of Scientific and Technical Information (OSTI), March 2017. http://dx.doi.org/10.2172/1409274.

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J. Chen, H.R. Strauss, S.C. Jardin, W. Park, L.E. Sugiyama, G. Fu, and J. Breslau. Higher Order Lagrange Finite Elements In M3D. Office of Scientific and Technical Information (OSTI), December 2004. http://dx.doi.org/10.2172/836490.

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Thompson, David C., and Philippe Pierre Pebay. Visualizing higher order finite elements. Final report. Office of Scientific and Technical Information (OSTI), November 2005. http://dx.doi.org/10.2172/876232.

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Thompson, David, and Philippe Pebay. Visualizing Higher Order Finite Elements: FY05 Yearly Report. Office of Scientific and Technical Information (OSTI), November 2005. http://dx.doi.org/10.2172/1143395.

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Chen, J., H. R. Strauss, S. C. Jardin, W. Park, L. E. Sugiyama, G. Fu, and J. Breslau. Application of Mass Lumped Higher Order Finite Elements. Office of Scientific and Technical Information (OSTI), November 2005. http://dx.doi.org/10.2172/934516.

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Kirby, Robert M., and Robert Haimes. Visualization of High-Order Finite Element Methods. Fort Belvoir, VA: Defense Technical Information Center, August 2008. http://dx.doi.org/10.21236/ada500484.

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Kirby, Robert M., and Robert Haimes. Visualization of High-Order Finite Element Methods. Fort Belvoir, VA: Defense Technical Information Center, March 2013. http://dx.doi.org/10.21236/ada578239.

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Verhoosel, Clemens V., Michael A. Scott, Michael J. Borden, Thomas J. Hughes, and Ren de Borst. Discretization of higher-order gradient damage models using isogeometric finite elements. Fort Belvoir, VA: Defense Technical Information Center, May 2011. http://dx.doi.org/10.21236/ada555369.

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