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Journal articles on the topic 'Boundary element methods'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Nedelec, Jean-Claude, Goong Chen, and Jianxin Zhou. "Boundary Element Methods." Mathematics of Computation 60, no. 202 (1993): 851. http://dx.doi.org/10.2307/2153130.

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2

Chaillat-Loseille, Stéphanie, Ralf Hiptmair, and Olaf Steinbach. "Boundary Element Methods." Oberwolfach Reports 17, no. 1 (2021): 273–376. http://dx.doi.org/10.4171/owr/2020/5.

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3

Feischl, Michael, Thomas Führer, Norbert Heuer, Michael Karkulik, and Dirk Praetorius. "Adaptive Boundary Element Methods." Archives of Computational Methods in Engineering 22, no. 3 (2014): 309–89. http://dx.doi.org/10.1007/s11831-014-9114-z.

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4

Khoromskij, B. N., and J. M. Melenk. "Boundary Concentrated Finite Element Methods." SIAM Journal on Numerical Analysis 41, no. 1 (2003): 1–36. http://dx.doi.org/10.1137/s0036142901391852.

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5

Beskos, D. E., and U. Heise. "Boundary Element Methods in Mechanics." Journal of Applied Mechanics 55, no. 4 (1988): 997. http://dx.doi.org/10.1115/1.3173761.

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6

Bonnet, Marc, Giulio Maier, and Castrenze Polizzotto. "Symmetric Galerkin Boundary Element Methods." Applied Mechanics Reviews 51, no. 11 (1998): 669–704. http://dx.doi.org/10.1115/1.3098983.

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This review article concerns a methodology for solving numerically, for engineering purposes, boundary and initial-boundary value problems by a peculiar approach characterized by the following features: the continuous formulation is centered on integral equations based on the combined use of single-layer and double-layer sources, so that the integral operator turns out to be symmetric with respect to a suitable bilinear form. The discretization is performed either on a variational basis or by a Galerkin weighted residual procedure, the interpolation and weight functions being chosen so that th

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7

Costabel, Martin. "Principles of boundary element methods." Computer Physics Reports 6, no. 1-6 (1987): 243–74. http://dx.doi.org/10.1016/0167-7977(87)90014-1.

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8

Hsiao, George C. "Boundary element methods—An overview." Applied Numerical Mathematics 56, no. 10-11 (2006): 1356–69. http://dx.doi.org/10.1016/j.apnum.2006.03.030.

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9

Faust, G., and J. Szimmat. "Developments in boundary element methods." Computer Methods in Applied Mechanics and Engineering 60, no. 2 (1987): 253–54. http://dx.doi.org/10.1016/0045-7825(87)90112-5.

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10

Faermann, Birgit. "Adaptive galerkin boundary element methods." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 78, S3 (1998): 909–10. http://dx.doi.org/10.1002/zamm.19980781527.

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11

Liu, Shaolin, Dinghui Yang, Xingpeng Dong, Qiancheng Liu, and Yongchang Zheng. "Element-by-element parallel spectral-element methods for 3-D teleseismic wave modeling." Solid Earth 8, no. 5 (2017): 969–86. http://dx.doi.org/10.5194/se-8-969-2017.

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Abstract. The development of an efficient algorithm for teleseismic wave field modeling is valuable for calculating the gradients of the misfit function (termed misfit gradients) or Fréchet derivatives when the teleseismic waveform is used for adjoint tomography. Here, we introduce an element-by-element parallel spectral-element method (EBE-SEM) for the efficient modeling of teleseismic wave field propagation in a reduced geology model. Under the plane-wave assumption, the frequency–wavenumber (FK) technique is implemented to compute the boundary wave field used to construct the boundary condi

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12

Phan, Thanh Xuan, and Olaf Steinbach. "Boundary element methods for parabolic boundary control problems." Journal of Integral Equations and Applications 26, no. 1 (2014): 53–90. http://dx.doi.org/10.1216/jie-2014-26-1-53.

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13

Betcke, Timo, Erik Burman, and Matthew W. Scroggs. "Boundary Element Methods with Weakly Imposed Boundary Conditions." SIAM Journal on Scientific Computing 41, no. 3 (2019): A1357—A1384. http://dx.doi.org/10.1137/18m119625x.

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14

Of, Günther, Thanh Xuan Phan, and Olaf Steinbach. "Boundary element methods for Dirichlet boundary control problems." Mathematical Methods in the Applied Sciences 33, no. 18 (2010): 2187–205. http://dx.doi.org/10.1002/mma.1356.

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15

Beskos, Dimitri E. "Boundary Element Methods in Dynamic Analysis." Applied Mechanics Reviews 40, no. 1 (1987): 1–23. http://dx.doi.org/10.1115/1.3149529.

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A review of boundary element methods for the numerical solution of dynamic problems of linear elasticity is presented. The integral formulation and the corresponding numerical solution of three- and two-dimensional elastodynamics from the direct boundary element method viewpoint and in both the frequency and time domains are described. The special case of the anti-plane motion governed by the scalar wave equation is also considered. In all the cases both harmonic and transient dynamic disturbances are taken into account. Special features of material behavior such as viscoelasticity, inhomogene

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16

Utzinger, Helmut Harbrecht and Manuela. "On Adaptive Wavelet Boundary Element Methods." Journal of Computational Mathematics 36, no. 1 (2018): 90–109. http://dx.doi.org/10.4208/jcm.1610-m2016-0496.

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17

Aliabadi, M. H. "Boundary Element Methods for Crack Dynamics." Key Engineering Materials 145-149 (October 1997): 323–28. http://dx.doi.org/10.4028/www.scientific.net/kem.145-149.323.

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18

Carstensen, Carsten, and Dirk Praetorius. "Convergence of adaptive boundary element methods." Journal of Integral Equations and Applications 24, no. 1 (2012): 1–23. http://dx.doi.org/10.1216/jie-2012-24-1-1.

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19

Ohl, Siew-Wan, Md Haiqal Haqim Bin Md. Rahim, Evert Klaseboer, and Boo Cheong Khoo. "Blake, bubbles and boundary element methods." IMA Journal of Applied Mathematics 85, no. 2 (2019): 190–213. http://dx.doi.org/10.1093/imamat/hxz032.

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Abstract Professor John Blake spent a considerable part of his scientific career on studying bubble dynamics and acoustic cavitation. As Blake was a mathematician, we will be focusing on the theoretical and numerical studies (and much less on experimental results). Rather than repeating what is essentially already known, we will try to present the results from a different perspective as much as possible. This review will also be of interest for readers who wish to know more about the boundary element method in general, which is a method often used by Blake and his colleagues to simulate bubble

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20

Tausch, Johannes. "Equivariant Preconditioners for Boundary Element Methods." SIAM Journal on Scientific Computing 17, no. 1 (1996): 90–99. http://dx.doi.org/10.1137/0917008.

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21

Gaul, Lothar, Marcus Wagner, and Wolfgang Wenzel. "Teaching boundary element methods in acoustics." Journal of the Acoustical Society of America 105, no. 2 (1999): 1123. http://dx.doi.org/10.1121/1.425242.

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22

Syngellakis, Stavros. "Boundary element methods for polymer analysis." Engineering Analysis with Boundary Elements 27, no. 2 (2003): 125–35. http://dx.doi.org/10.1016/s0955-7997(02)00090-5.

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23

Wu, J. "Fundamental solutions and boundary element methods." Engineering Analysis with Boundary Elements 4, no. 1 (1987): 2–6. http://dx.doi.org/10.1016/0955-7997(87)90013-0.

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24

Portela, A. "Stress analysis by boundary element methods." Engineering Analysis with Boundary Elements 9, no. 2 (1992): 189–90. http://dx.doi.org/10.1016/0955-7997(92)90063-d.

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25

Martin, P. A. "Maurice Jaswon and boundary element methods." Engineering Analysis with Boundary Elements 36, no. 11 (2012): 1699–704. http://dx.doi.org/10.1016/j.enganabound.2012.05.003.

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26

Ylä-Oijala, Pasi, Sami P. Kiminki, and Seppo Järvenpää. "Conforming boundary element methods in acoustics." Engineering Analysis with Boundary Elements 50 (January 2015): 447–58. http://dx.doi.org/10.1016/j.enganabound.2014.10.002.

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27

Feischl, Michael, Gregor Gantner, Alexander Haberl, and Dirk Praetorius. "Adaptive 2D IGA boundary element methods." Engineering Analysis with Boundary Elements 62 (January 2016): 141–53. http://dx.doi.org/10.1016/j.enganabound.2015.10.003.

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28

Allgower, Eugene L., Klaus Böhmer, Kurt Georg, and Rick Miranda. "Exploiting Symmetry in Boundary Element Methods." SIAM Journal on Numerical Analysis 29, no. 2 (1992): 534–52. http://dx.doi.org/10.1137/0729034.

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29

Wu, J. C. "Fundamental solutions and boundary element methods." Engineering Analysis 4, no. 1 (1987): 2–6. http://dx.doi.org/10.1016/0264-682x(87)90025-6.

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30

Popescu, M. "Boundary element methods in solid mechanics." Earth-Science Reviews 22, no. 1 (1985): 96–97. http://dx.doi.org/10.1016/0012-8252(85)90044-3.

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31

Allgower, Eugene L., Kurt Georg, and Ralf Widmann. "Volume integrals for boundary element methods." Journal of Computational and Applied Mathematics 38, no. 1-3 (1991): 17–29. http://dx.doi.org/10.1016/0377-0427(91)90158-g.

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32

Steinbach, O. "Boundary element methods for variational inequalities." Numerische Mathematik 126, no. 1 (2013): 173–97. http://dx.doi.org/10.1007/s00211-013-0554-4.

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33

Langer, U., and O. Steinbach. "Boundary Element Tearing and Interconnecting Methods." Computing 71, no. 3 (2003): 205–28. http://dx.doi.org/10.1007/s00607-003-0018-2.

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34

Langer, Ulrich, and Olaf Steinbach. "Recent Advances in Boundary Element Methods." Computational Methods in Applied Mathematics 23, no. 2 (2023): 297–99. http://dx.doi.org/10.1515/cmam-2023-0037.

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35

Carstensen, Carsten, and Ernst P. Stephan. "Adaptive boundary-element methods for transmission problems." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 38, no. 3 (1997): 336–67. http://dx.doi.org/10.1017/s0334270000000722.

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AbstractIn this paper we present an adaptive boundary-element method for a transmission prob-lem for the Laplacian in a two-dimensional Lipschitz domain. We are concerned with an equivalent system of boundary-integral equations of the first kind (on the transmission boundary) involving weakly-singular, singular and hypersingular integral operators. For the h-version boundary-element (Galerkin) discretization we derive an a posteriori error estimate which guarantees a given bound for the error in the energy norm (up to a multiplicative constant). Then, following Eriksson and Johnson this yields

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36

Ganesh, M., and O. Steinbach. "Boundary element methods for potential problems with nonlinear boundary conditions." Mathematics of Computation 70, no. 235 (2000): 1031–43. http://dx.doi.org/10.1090/s0025-5718-00-01266-7.

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37

Tanaka, Masataka, Vladimir Sladek, and Jan Sladek. "Regularization Techniques Applied to Boundary Element Methods." Applied Mechanics Reviews 47, no. 10 (1994): 457–99. http://dx.doi.org/10.1115/1.3111062.

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This review article deals with the regularization of the boundary element formulations for solution of boundary value problems of continuum mechanics. These formulations may be singular owing to the use of two-point singular fundamental solutions. When the physical interpretation is irrelevant for this topic of computational mechanics, we consider various mechanical problems simultaneously within particular sections selected according to the main topic. In spite of such a structure of the paper, applications of the regularization techniques to many mechanical problems are described. There are

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38

Wu, K. L., G. Y. Delisle, D. G. Fang, and M. Lecours. "Coupled Finite Element and boundary Element Methods in Electromagnetic Scattering." Progress In Electromagnetics Research 02 (1990): 113–32. http://dx.doi.org/10.2528/pier89010300.

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39

Of, G., G. J. Rodin, O. Steinbach, and M. Taus. "Coupling of Discontinuous Galerkin Finite Element and Boundary Element Methods." SIAM Journal on Scientific Computing 34, no. 3 (2012): A1659—A1677. http://dx.doi.org/10.1137/110848530.

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40

Bernhard, Robert J. "General characteristics of the finite element and boundary element methods." Journal of the Acoustical Society of America 90, no. 4 (1991): 2250. http://dx.doi.org/10.1121/1.401507.

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41

Panchal, Piyush, and Ralf Hiptmair. "Electrostatic Force Computation with Boundary Element Methods." SMAI journal of computational mathematics 8 (April 8, 2022): 49–74. http://dx.doi.org/10.5802/smai-jcm.79.

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42

JEON, Youngmok, and Eun-Jae PARK. "Cell boundary element methods for elliptic problems." Hokkaido Mathematical Journal 36, no. 4 (2007): 669–85. http://dx.doi.org/10.14492/hokmj/1272848027.

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43

Georg, Kurt. "Approximation of Integrals for Boundary Element Methods." SIAM Journal on Scientific and Statistical Computing 12, no. 2 (1991): 443–53. http://dx.doi.org/10.1137/0912024.

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44

Nguyen, D. T., J. Qin, M. I. Sancer, and R. McClary. "Finite element–boundary integral methods in electromagnetics." Finite Elements in Analysis and Design 38, no. 5 (2002): 391–400. http://dx.doi.org/10.1016/s0168-874x(01)00066-x.

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45

Amaya, K., and S. Aoki. "Effective boundary element methods in corrosion analysis." Engineering Analysis with Boundary Elements 27, no. 5 (2003): 507–19. http://dx.doi.org/10.1016/s0955-7997(02)00158-3.

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46

Brebbia, C. "10th International conference on boundary element methods." Engineering Analysis with Boundary Elements 5, no. 4 (1988): 217–19. http://dx.doi.org/10.1016/0955-7997(88)90012-4.

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47

Aliabadi, M. H. "Developments in boundary element methods - volume 4." Engineering Analysis with Boundary Elements 8, no. 4 (1991): 215. http://dx.doi.org/10.1016/0955-7997(91)90016-m.

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48

Onishi, K. "Boundary element methods applied to transport phenomena." Advances in Water Resources 11, no. 3 (1988): 133–38. http://dx.doi.org/10.1016/0309-1708(88)90007-3.

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49

Brebbia, Carlos. "10th International Conference on Boundary Element Methods." Advances in Water Resources 11, no. 3 (1988): 150–52. http://dx.doi.org/10.1016/0309-1708(88)90010-3.

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50

Cross, M. "Developments in boundary element methods: Vol. 4." Applied Mathematical Modelling 11, no. 1 (1987): 73. http://dx.doi.org/10.1016/0307-904x(87)90188-0.

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