Relevant bibliographies by topics / Indirect boundary element method

Academic literature on the topic 'Indirect boundary element method'

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Published: 4 June 2021
Last updated: 21 February 2023

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Journal articles on the topic "Indirect boundary element method"

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Zhuravchak, L. M., and N. V. Zabrodska. "Using of partly-boundary elements as a version of the indirect near-boundary element method for potential field modeling." Mathematical Modeling and Computing 8, no. 1 (2020): 1–10. http://dx.doi.org/10.23939/mmc2021.01.001.

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In this paper, the partly-boundary elements as a version of the indirect near-boundary element method has been considered. Accuracy and effectiveness of their using for 2D problems of potential theory have been investigated. It is shown that using of partly-boundary elements for objects of canonical shape (circle, square, rectangle, ellipse) and arbitrary polygons allows us to achieve the solution accuracy, which is comparable with the accuracy of the indirect near-boundary element method, and its order of magnitude is higher than in the indirect boundary element method. In this case, the computation time is reduced by 2–2.5 times than in the near-boundary element method case. The software of the proposed approach has been implemented in Python. Practical testing was carried out for the tasks of electrical profiling and vertical electrical sounding in the half-plane with inclusion as a polygon. The recommendations for application of the partly-boundary elements in geophysical practice have been given.
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Gao, Sheng Yao, and De Shi Wang. "An Indirect Boundary Element Method for Computing Sound Field." Advanced Materials Research 476-478 (February 2012): 1173–77. http://dx.doi.org/10.4028/www.scientific.net/amr.476-478.1173.

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Computing sound field from an arbitrary radiator is of interest in acoustics, with many significant applications, one that includes the design of classical projectors and the noise prediction of underwater vehicle. To overcome the non-uniqueness of solution at eigenfrequencies in the boundary integral equation method for structural acoustic radiation, wave superposition method is introduced to study the acoustics. In this paper, the theoretical backgrounds to the direct boundary element method and the wave superposition method are presented. The wave superposition method does not solve the Kirchoff-Helmholtz integral equation directly. In the approach a lumped parameter model is estabiled from spatially averaged quantities, and the numerical method is implemented by using the acoustic field from a series of virtual sources which are collocated near the boundary surface to replace the acoustic field of the radiator. Then the sound field over the of a pulsating sphere is calculated. Finally, comparison between the analytical and numerical results is given, and the speed of solution is investigated. The results show that the agreement between the results from the above numerical methods is excellent. The wave superposition method requires fewer elements and hence is faster, which do not need as high a mesh density as traditionally associated with BEM.
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Rodríguez-Castellanos, A., E. Flores, F. J. Sánchez-Sesma, C. Ortiz-Alemán, M. Nava-Flores, and R. Martin. "Indirect Boundary Element Method applied to fluid–solid interfaces." Soil Dynamics and Earthquake Engineering 31, no. 3 (March 2011): 470–77. http://dx.doi.org/10.1016/j.soildyn.2010.10.007.

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Bedair, O. K., and J. C. Thompson. "Shape sensitivity analysis using the indirect boundary element method." Structural Optimization 6, no. 2 (June 1993): 116–22. http://dx.doi.org/10.1007/bf01743344.

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Shen, Shih-yu. "An indirect elastostatic boundary element method with analytic bases." Computers & Structures 89, no. 23-24 (December 2011): 2402–13. http://dx.doi.org/10.1016/j.compstruc.2011.06.008.

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VENTSEL, EDUARD S. "AN INDIRECT BOUNDARY ELEMENT METHOD FOR PLATE BENDING ANALYSIS." International Journal for Numerical Methods in Engineering 40, no. 9 (May 15, 1997): 1597–610. http://dx.doi.org/10.1002/(sici)1097-0207(19970515)40:9<1597::aid-nme129>3.0.co;2-t.

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Wearing, J. L., and M. A. Sheikh. "A regular indirect boundary element method for thermal analysis." International Journal for Numerical Methods in Engineering 25, no. 2 (June 1988): 495–515. http://dx.doi.org/10.1002/nme.1620250214.

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Shen, Shih-yu. "An indirect elastodynamic boundary element method with analytic bases." International Journal for Numerical Methods in Engineering 57, no. 6 (2003): 767–94. http://dx.doi.org/10.1002/nme.702.

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Akimov, Pavel A. "Correct Indirect Discrete-Continual Boundary Element Method of Structural Analysis." Advanced Materials Research 671-674 (March 2013): 1614–18. http://dx.doi.org/10.4028/www.scientific.net/amr.671-674.1614.

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This paper is devoted to so-called indirect discrete-continual boundary element method of structural analysis. Operational formulation of the problem is given. Using fundamental operational relations of indirect approach after construction of corresponding fundamental matrix-function in a special form convenient for problems of structural mechanics and its application resolving set of differential equations with operational coefficients is obtained. The discrete-continual design model for structures with constant physical and geometrical parameters in one direction is offered on the basis of so-called discrete-continual boundary elements. Basic pseudodifferential operators are approximated discretely by Fourier series. Fourier transformations and Wavelet analysis can be applied as well.
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PONOMAREVA, Maria Andreevna, Evgeniy Alekseevich SOBKO, and Vladimir Albertovich YAKUTENOK. "SOLVING AXISYMMETRIC POTENTIAL PROBLEMS USING THE INDIRECT BOUNDARY ELEMENT METHOD." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 37(5) (October 1, 2015): 84–96. http://dx.doi.org/10.17223/19988621/37/8.

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Dissertations / Theses on the topic "Indirect boundary element method"

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Rahman, Abdul Ghaffar Abdul. "An investigation of the regular indirect boundary element method." Thesis, University of Sheffield, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.320149.

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Lindkvist, Gaute. "Indirect boundary element methods for modelling bubbles under three dimensional deformation." Thesis, Deaprtment of Engineering Systems and Management, 2009. http://hdl.handle.net/1826/3098.

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The nonlinear behaviour of gas and vapour bubbles is a complex phenomenon which plays a signi cant role in many natural and man-made processes. For example, bubbles excited by an acoustic eld play important roles in lithotripsy, drug delivery, ultrasonic imaging, surface cleaning and give rise to the phenomenon of sonoluminescence (light emission from a bubble excited by sound). In such contexts, the oscillation of even a single bubble is not yet fully understood, let alone the behaviour of multiple bubbles interacting with each other. An essential part of understanding such problems is un- derstanding the complex and sometimes unpredictable coupling between the oscillation of the bubble volume and the bubble shape, a problem requiring experimental research, theoretical work and numerical studies. In this Thesis we focus on numerical simulation of a single gas bubble oscillating in a free liquid. Previously, such numerical simulations have al- most exclusively assumed axisymmetry and small amplitude oscillations. To avoid these assumptions we build upon and extend previous boundary ele- ment methods used for three dimensional simulations of other bubble prob- lems. We use high order elements and parallel processing to yield an indirect boundary element method capable of capturing ne surface e ects on three dimensional bubbles subjected to surface tension, over extended periods of time. We validate the method against the classical Rayleigh-Plesset equation for spherical oscillation problems before validating the indirect boundary el- ement method and the method used by Shaw (2006), against each other, on several small amplitude axisymmetric oscillation problems. We then proceed to study near-resonant non-axisymmetric shape oscillations of order 2 and 4 and the e ect these oscillations have on higher order modes, with a level of detail we believe has not been achieved in a non-axisymmetric study before. We also con rm some predictions made by Pozrikidis' on resonant interac- tions between the second order modes and the volume mode in addition. Finally we study the spherical instability of a bubble trapped in a uniform acoustic eld, demonstrating, as expected, that instabilities show up in all resonant shape modes, including non-axisymmetric ones.
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Lee, Jimin. "Earthquake site effect modeling in sedimentary basins using a 3-D indirect boundary element-fast multipole method." Diss., Online access via UMI:, 2007.

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Fan, Xijun. "Numerical study on some rheological problems of fibre suspensions." Thesis, The University of Sydney, 2006. http://hdl.handle.net/2123/1096.

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This thesis deals with numerical investigations on some rheological problems of fibre suspensions: the fibre level simulation of non-dilute fibre suspensions in shear flow; the numerical simulation of complex fibre suspension flows and simulating the particle motion in viscoelastic flows. These are challenging problems in rheology. Two numerical approaches were developed for simulating non-dilute fibre suspensions from the fibre level. The first is based on a model that accounts for full hydrodynamic interactions between fibres, which are approximately calculated as a superposition of the long-range and short-range hydrodynamic interactions. The long-range one is approximated by using slender body theory and includes infinite particle interactions. The short-range one is approximated in terms of the normal lubrication forces between close neighbouring fibres. The second is based on a model that accounts only for short-range interactions, which comprise the lubrication forces and normal contact and friction forces. These two methods were applied to simulate the microstructure evolution and rheological properties of non-dilute fibre suspensions. The Brownian configuration method was combined with the highly stable finite element method to simulate the complex flow of fibre suspensions. The method is stable and robust, and can provide both micro and macro information. It does not require any closure approximations in calculating the fibre stress tensor and is more efficient and variance reduction, compared to CONNFFESSITT, for example. The flow of fibre suspensions past a sphere in a tube and the shear induced fibre migration were successfully simulated using this method The completed double layer boundary element method was extended to viscoelastic flow cases. A point-wise solver was developed to solve the constitutive equation point by point and the fixed least square method was employed to interpolate and differentiate data locally. The method avoids volume meshing and only requires the boundary mesh on particle surfaces and data points in the flow domain. A sphere settling in the Oldroyd-B fluid and a prolate spheroid rotating in shear flow of the Oldroyd-B fluid were simulated. Based on the simulated orbit of a prolate spheroid in shear flow, a constitutive model for the weakly viscoelastic fibre suspensions was proposed and its predictions were compared with some available experimental results. All simulated results are in general agreement with experimental and other numerical results reported in literature. This indicates that these numerical methods are useful tools in rheological research.
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Fan, Xijun. "Numerical study on some rheological problems of fibre suspensions." School of Aerospace, Mechanical & Mechatronic Engineering, 2006. http://hdl.handle.net/2123/1096.

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Doctor of philosophy (Ph D)
This thesis deals with numerical investigations on some rheological problems of fibre suspensions: the fibre level simulation of non-dilute fibre suspensions in shear flow; the numerical simulation of complex fibre suspension flows and simulating the particle motion in viscoelastic flows. These are challenging problems in rheology. Two numerical approaches were developed for simulating non-dilute fibre suspensions from the fibre level. The first is based on a model that accounts for full hydrodynamic interactions between fibres, which are approximately calculated as a superposition of the long-range and short-range hydrodynamic interactions. The long-range one is approximated by using slender body theory and includes infinite particle interactions. The short-range one is approximated in terms of the normal lubrication forces between close neighbouring fibres. The second is based on a model that accounts only for short-range interactions, which comprise the lubrication forces and normal contact and friction forces. These two methods were applied to simulate the microstructure evolution and rheological properties of non-dilute fibre suspensions. The Brownian configuration method was combined with the highly stable finite element method to simulate the complex flow of fibre suspensions. The method is stable and robust, and can provide both micro and macro information. It does not require any closure approximations in calculating the fibre stress tensor and is more efficient and variance reduction, compared to CONNFFESSITT, for example. The flow of fibre suspensions past a sphere in a tube and the shear induced fibre migration were successfully simulated using this method The completed double layer boundary element method was extended to viscoelastic flow cases. A point-wise solver was developed to solve the constitutive equation point by point and the fixed least square method was employed to interpolate and differentiate data locally. The method avoids volume meshing and only requires the boundary mesh on particle surfaces and data points in the flow domain. A sphere settling in the Oldroyd-B fluid and a prolate spheroid rotating in shear flow of the Oldroyd-B fluid were simulated. Based on the simulated orbit of a prolate spheroid in shear flow, a constitutive model for the weakly viscoelastic fibre suspensions was proposed and its predictions were compared with some available experimental results. All simulated results are in general agreement with experimental and other numerical results reported in literature. This indicates that these numerical methods are useful tools in rheological research.
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Hevin, Grégoire. "Utilisation des ondes de surface pour l'auscultation des structures en génie civil : application à la caractérisation des fissures de surface." Université Joseph Fourier (Grenoble), 1998. http://www.theses.fr/1998GRE10161.

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Dans le domaine du genie civil, la demande en matiere de controle non destructif est croissante. Les ondes de surface, et de rayleigh en particulier, presentent differentes proprietes interessantes pour l'auscultation de la surface des structures en beton. L'objectif de ce travail est de proposer et d'evaluer une methode de caracterisation des fissures de surface par les ondes de rayleigh. La diffraction des ondes de rayleigh par une fissure de surface est modelisee par la methode indirecte d'elements de frontiere (ibem pour indirect boundary element method). Les resultats permettent une analyse fine des differents phenomenes de diffraction et l'elaboration d'une methode spectrale de determination de la profondeur des fissures. Des dispositifs et procedures de traitement prenant en compte les effets de la source et des capteurs permettent de l'appliquer experimentalement. La comparaison des donnees numeriques et experimentales sur des fissures artificielles de differentes profondeurs valide la methode. Elle est alors appliquee a des cas particuliers (fissures remplies d'eau, fissures presentant des contacts entre les deux levres) et comparee a une methode temporelle utilisant les ondes de volume. Les resultats montrent clairement la complementarite des deux methodes pour un faible surcout de mise en oeuvre. Leur application a des cas de fissuration reelle sur ouvrage d'art confirme leur complementarite pour de veritables conditions d'auscultation.
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Wen, Pi Hua. "Indirect boundary element formulations for dynamic fracture mechanics." Thesis, University of Portsmouth, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.282554.

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Healey, Martin. "The mortar boundary element method." Thesis, Brunel University, 2010. http://bura.brunel.ac.uk/handle/2438/4355.

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This thesis is primarily concerned with the mortar boundary element method (mortar BEM). The mortar finite element method (mortar FEM) is a well established numerical scheme for the solution of partial differential equations. In simple terms the technique involves the splitting up of the domain of definition into separate parts. The problem may now be solved independently on these separate parts, however there must be some sort of matching condition between the separate parts. Our aim is to develop and analyse this technique to the boundary element method (BEM). The first step in our journey towards the mortar BEM is to investigate the BEM with Lagrangian multipliers. When approximating the solution of Neumann problems on open surfaces by the Galerkin BEM the appropriate boundary condition (along the boundary curve of the surface) can easily be included in the definition of the spaces used. However, we introduce a boundary element Galerkin BEM where we use a Lagrangian multiplier to incorporate the appropriate boundary condition in a weak sense. This is the first step in enabling us to understand the necessary matching conditions for a mortar type decomposition. We next formulate the mortar BEM for hypersingular integral equations representing the elliptic boundary value problem of the Laplace equation in three dimensions (with Neumann boundary condition). We prove almost quasi-optimal convergence of the scheme in broken Sobolev norms of order 1/2. Sub-domain decompositions can be geometrically non-conforming and meshes must be quasi-uniform only on sub-domains. We present numerical results which confirm and underline the theory presented concerning the BEM with Lagrangian multipliers and the mortar BEM. Finally we discuss the application of the mortaring technique to the hypersingular integral equation representing the equations of linear elasticity. Based on the assumption of ellipticity of the appearing bilinear form on a constrained space we prove the almost quasi-optimal convergence of the scheme.
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Ademoyero, Oreoluwa Oyinlade. "A parallel Galerkin boundary element method." Thesis, University of Hertfordshire, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.410144.

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Elzein, Abbas. "Plate stability by boundary element method." Thesis, University of Southampton, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.255672.

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Books on the topic "Indirect boundary element method"

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Direct and indirect boundary integral equation methods. Boca Raton: Chapman & Hall/CRC, 2000.

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Hall, W. S. The Boundary Element Method. Dordrecht: Springer Netherlands, 1994.

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Hall, W. S. The boundary element method. Dordrecht: Kluwer Academic Publishers, 1994.

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International Conference on Boundary Element Methods (16th 1994 Southampton, England). Boundary element method XVI. Edited by Brebbia C. A. Southhampton: Computational Mechanics Publications, 1994.

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Hall, W. S. The Boundary Element Method. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0784-6.

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Sutradhar, Alok. Symmetric galerkin boundary element method. Berlin: Springer, 2008.

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Beer, Gernot, Benjamin Marussig, and Christian Duenser. The Isogeometric Boundary Element Method. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-23339-6.

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Wen, Pi hua. Indirect boundary element formulations for dynamic fracture mechanics. Ashurst: Wessex Institute of Technology, 1995.

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El-Zafrany, Ali. Techniques of the boundary element method. New York: Ellis Horwood, 1993.

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Plate stability by boundary element method. Berlin: Springer-Verlag, 1991.

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Book chapters on the topic "Indirect boundary element method"

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Johnston, R. L., G. Fairweather, and A. Karageorghis. "An Adaptive Indirect Boundary Element Method with Applications." In Boundary Elements VIII, 587–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-662-22335-2_8.

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Vable, M., and Y. Zhang. "An Indirect Boundary Element Method for Plate Bending Problems." In Boundary Elements XIII, 511–21. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3696-9_41.

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Lutz, E., L. J. Gray, and A. R. Ingraffea. "Indirect Evaluation of Surface Stress in the Boundary Element Method." In Boundary Integral Methods, 339–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-85463-7_33.

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O’brien, Jeffrey L., and Thomas L. Geers. "Direct vs. Indirect Boundary Element Methods." In Boundary Element Methods in Engineering, 169–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84238-2_23.

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Zhu, J. "An Indirect Boundary Element Method in the Solution of the Diffusion Equation." In Boundary Elements VIII, 707–14. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-662-22335-2_18.

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Massé, B., and L. Marcouiller. "Calculation of Two-Dimensional Potential Cascade Flow Using an Indirect Boundary Element Method." In Boundary Elements XIII, 233–44. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3696-9_19.

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West, R. L., and E. Sandgren. "A Direct and Indirect Approach to Shape Optimization Using the Boundary Element Method." In Boundary Element Methods in Engineering, 427–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84238-2_53.

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Bonnet, Marc, and Huy Duong Bui. "Regularization of the Displacement and Traction BIE for 3D Elastodynamics Using Indirect Methods." In Advances in Boundary Element Techniques, 1–29. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-51027-4_1.

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Yasuda, Yosuke, and Tetsuya Sakuma. "Boundary Element Method." In Computational Simulation in Architectural and Environmental Acoustics, 79–115. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-54454-8_4.

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Hall, W. S. "Boundary Element Method." In The Boundary Element Method, 61–83. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0784-6_3.

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Conference papers on the topic "Indirect boundary element method"

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Poljak, D., and C. A. Brebbia. "Transient analysis of coated thin wire antennas in free space via the Galerkin-Bubnov indirect Boundary Element Method." In BOUNDARY ELEMENT METHOD 2006. Southampton, UK: WIT Press, 2006. http://dx.doi.org/10.2495/be06018.

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Ponomareva, M. A., and V. A. Yakutenok. "The indirect boundary element method for the axisymmetric free surface Stokes flow." In BEM/MRM 38. Southampton, UK: WIT Press, 2015. http://dx.doi.org/10.2495/bem380221.

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Vlahopoulos, Nickolas, and S. T. Raveendra. "A Formulation of Unequal Impedance Boundary Conditions in Boundary Element Acoustics." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-1062.

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Abstract The boundary element method (BEM) has been utilized extensively in numerical simulations of engineering acoustics problems. The indirect boundary element formulation (IBEM) allows the simulatneous modeling of the acoustic spaces on both sides of a thin vibrating structure. In order to exploit the full potential of the IBEF a new formulation was developed in this work, allowing the application of separate impedance boundary conditions on each side of the vibrating structure. This situation is often encountered in practical applications (engine enclosures, computer boxes, car bodies, etc.), where noise isolation material is applied on only one side of a vibrating structure.
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Zhang, Zhidong, Nickolas Vlahopoulos, T. Allen, and K. Y. Zhang. "A Source Reconstruction Process Based on an Indirect Variational Boundary Element Formulation." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1624.

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Abstract The objective of the work presented in this paper is the development of a computational capability for recreating the vibration of a source from acoustic field data. The formulation is based on the indirect variational boundary element method (IVBEM). The vibration of the source is computed from transfer functions defined between the field points and the surface of the source. The capability to account for the presence of obstacles in the field adjacent to the vibrating sources and the treatment of irregular frequencies are included in the IVBEM formulation. A singular value decomposition (SVD) solver is integrated with the IVBEM computations in order to evaluate the vibration of the source. An algorithm that identifies the optimum field points where the acoustic pressure of the original field must be prescribed in order to accomplish the most efficient source reconstruction is also developed. Several validation and application cases are presented.
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Ponomareva, M. A., and V. A. Yakutenok. "Simulation of mold filling by a highly viscous fluid using the 2D indirect boundary element method." In BEM/MRM 38. Southampton, UK: WIT Press, 2015. http://dx.doi.org/10.2495/bem380231.

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Thompson, Lonny L. "Implementation of Non-Reflecting Boundaries in a Space-Time Finite Element Method for Structural Acoustics." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-3841.

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Abstract This paper examines the development and implementation of second-order accurate non-reflecting boundary conditions in a time-discontinuous Galerkin finite element method for structural acoustics in unbounded domains. The formulation is based on a multi-field space-time variational equation for both the acoustic fluid and elastic solid together with their interaction. This approach to the modeling of the temporal variables allows for the consistent use of high-order accurate adaptive solution strategies for unstructured finite elements in both time and space. An important feature of the method is the incorporation of temporal jump operators which allow for discretizations that are discontinuous in time. Two alternative approaches are examined for implementing non-reflecting boundaries within a time-discontinuous Galerkin finite element method; direct implementation of the exterior acoustic impedance through a weighted variational equation in time and space, and indirectly through a decomposition into two equations involving an auxiliary variable defined on the non-reflecting boundary. The idea for the indirect approach was originally developed in (Kallivokas, 1991) in the context of a standard semi-discrete formulation. Extensions to general convex boundaries are also discussed — numerical results are presented for acoustic scattering from an elongated structure using a first-order accurate boundary condition applied to an elliptical absorbing boundary.
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Zhuravchak, Liubov. "Computation of pressure change in piecewise-homogeneous reservoir for elastic regime by indirect near-boundary element method." In 2019 IEEE 14th International Scientific and Technical Conference on Computer Sciences and Information Technologies (CSIT). IEEE, 2019. http://dx.doi.org/10.1109/stc-csit.2019.8929820.

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Ponomareva, M. A., M. P. Filina, and V. A. Yakutenok. "The indirect boundary element method for the two-dimensional pressure- and gravity-driven free surface Stokes flow." In BEM/MRM 37. Southampton, UK: WIT Press, 2014. http://dx.doi.org/10.2495/be370241.

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Kazemi, Saeid, and Atilla Incecik. "Application of Direct Boundary Element Method to Three Dimensional Hydrodynamic Analysis of Interaction Between Waves and Floating Offshore Structures." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51429.

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A three-dimensional hydrodynamic analysis of interaction between a floating offshore structure and sea waves has been carried out using a novel approach which is based on the weighted residual technique and the direct boundary element method. The main advantage of the direct boundary element method is the fact that one can determine the total velocity potential directly. Direct BEM is more versatile and computationally more efficient than indirect BEM. Besides, the BEM can easily be coupled with other numerical methods, e.g. finite element method (FEM) in order to carry out structural analysis of deck of the platform due to impact. Firstly, the boundary value problem of three-dimensional interaction between regular sea waves and a semi-submersible will be described. Secondly, the direct boundary element method has been applied to predict hydrodynamic behaviour of Khazar Semi-Submersible Drilling Unit (KSSDU), which is the largest semi-submersible drilling platform under construction for a location in the Caspian Sea, North of Iran. The rigid body motion responses in six degrees of freedom of KHAZAR semi-submersible in response to encountering waves have been calculated by using the direct boundary element method. The results obtained from the direct BEM will be compared with those obtained by the results based on the conventional boundary element method (indirect BEM) which were obtained by the designers of KHAZAR semi-submersible.
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10

Zhang, Zhidong, Nickolas Vlahopoulos, S. T. Raveendra, T. Allen, and K. Y. Zhang. "A Computational Acoustic Field Reconstruction Process Based on an Indirect Variational Boundary Element Formulation." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0181.

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Abstract The objective of the work presented in this paper is to develop a computational capability based on the indirect variational boundary element method (IVBEM) to evaluate appropriate velocity boundary conditions on an assembly of piston type sources such that they can recreate a prescribed acoustic field. Information for the acoustic pressure of the original acoustic field at certain field points constitutes the input to the developed process. Several new developments associated with the IVBEM are completed within the field reconstruction process. A new formulation for treating irregular frequencies in the IVBEM is developed and implemented in the field reconstruction process. The velocities on the piston type sources are computed from transfer functions between the field points, where the acoustic pressure of the original field is prescribed, and the velocity boundary condition on each element of the generic source. The IVBEM is employed for computing the transfer functions. A singular value decomposition solver is integrated with the IVBEM computations in order to evaluate the velocity boundary conditions from the transfer functions. Finally, an algorithm is developed that identifies the optimum field points where the acoustic pressure of the original field must be prescribed. The optimum field points are selected from a set of prescribed candidate points. The selection of the optimum points is based on the geometric characteristics of the generic source, the frequency of analysis, and the properties of the medium. Several validation and application cases are presented.
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Reports on the topic "Indirect boundary element method"

1

Cox, J. V. A Preliminary Study on Finite Element-Hosted Couplings with the Boundary Element Method. Fort Belvoir, VA: Defense Technical Information Center, April 1988. http://dx.doi.org/10.21236/ada197539.

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Paulino, G. H., L. J. Gray, and V. Zarikian. A posteriori pointwise error estimates for the boundary element method. Office of Scientific and Technical Information (OSTI), January 1995. http://dx.doi.org/10.2172/42836.

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Hong, S. W., W. W. Schultz, and W. P. Graebel. An Alternative Complex Boundary Element Method for Nonlinear Free Surface Problems. Fort Belvoir, VA: Defense Technical Information Center, February 1988. http://dx.doi.org/10.21236/ada250817.

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4

Babuska, Ivo, Victor Nistor, and Nicolae Tarfulea. Approximate Dirichlet Boundary Conditions in the Generalized Finite Element Method (PREPRINT). Fort Belvoir, VA: Defense Technical Information Center, February 2006. http://dx.doi.org/10.21236/ada478502.

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5

Driessen, B. J., and J. L. Dohner. A finite element-boundary element method for advection-diffusion problems with variable advective fields and infinite domains. Office of Scientific and Technical Information (OSTI), August 1998. http://dx.doi.org/10.2172/677125.

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Andraka, C. E., G. A. Knorovsky, and C. A. Drewien. Boundary element method applied to a gas-fired pin-fin-enhanced heat pipe. Office of Scientific and Technical Information (OSTI), February 1998. http://dx.doi.org/10.2172/672137.

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Imanishi, Yoshitomo, Tomomi Hasegawa, Takashi Mitsuhashi, and Shinji Koyano. Analysis of Sound Field in a Car by Boundary Element Method and Measurement. Warrendale, PA: SAE International, May 2005. http://dx.doi.org/10.4271/2005-08-0348.

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8

Gray, L. J. Program for solving the 3-dimensional LaPlace equation via the boundary element method. [D3LAPL]. Office of Scientific and Technical Information (OSTI), September 1986. http://dx.doi.org/10.2172/5065235.

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9

Koteras, J. R. Use of the iterative solution method for coupled finite element and boundary element modeling; Yucca Mountain Site Characterization Project. Office of Scientific and Technical Information (OSTI), July 1993. http://dx.doi.org/10.2172/139249.

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10

Babuska, Ivo, B. Guo, and Manil Suri. Implementation of Nonhomogeneous Dirichlet Boundary Conditions in the p- Version of the Finite Element Method. Fort Belvoir, VA: Defense Technical Information Center, September 1988. http://dx.doi.org/10.21236/ada207799.

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