Steinbach, Olaf An adaptive least squares boundary element method for elliptic boundary value problems. (English) Zbl 08179257 Numer. Math. 158, No. 2, 653-669 (2026). MSC: 65N38 65N50 65K10 65N12 65N15 35R09 45E05 × Cite Format Result Cite Review PDF Full Text: DOI
Langer, Ulrich (ed.); Steinbach, Olaf (ed.) Recent advances in boundary element methods. (English) Zbl 07706691 Comput. Methods Appl. Math. 23, No. 2, 297-299 (2023). MSC: 00B15 × Cite Format Result Cite Review PDF Full Text: DOI
Steinbach, Olaf; Zank, Marco A note on the efficient evaluation of a modified Hilbert transformation. (English) Zbl 1471.65154 J. Numer. Math. 29, No. 1, 47-61 (2021). MSC: 65M60 65L60 65R10 44A15 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Thanh, Phan Xuan; Steinbach, Olaf Energy space approaches to the Cauchy problem for Poisson’s equation. (English) Zbl 1447.35369 Acta Math. Vietnam. 45, No. 3, 693-707 (2020). MSC: 35R25 35R30 35J05 35J20 65M30 65M32 65M38 × Cite Format Result Cite Review PDF Full Text: DOI
Dohr, Stefan; Steinbach, Olaf Preconditioned space-time boundary element methods for the one-dimensional heat equation. (English) Zbl 1443.65241 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 243-251 (2018). MSC: 65M70 65M55 65M12 65F10 65F08 35K10 35K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Steinbach, O. Stability of the Laplace single layer boundary integral operator in Sobolev spaces. (English) Zbl 1406.65127 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer (ISBN 978-3-319-59383-8/hbk; 978-3-319-59384-5/ebook). 293-303 (2017). MSC: 65N38 65N12 65N15 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Bandara, Kosala; Cirak, Fehmi; Of, Günther; Steinbach, Olaf; Zapletal, Jan Boundary element based multiresolution shape optimisation in electrostatics. (English) Zbl 1349.78081 J. Comput. Phys. 297, 584-598 (2015). MSC: 78M15 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Of, G.; Phan, T. X.; Steinbach, O. An energy space finite element approach for elliptic Dirichlet boundary control problems. (English) Zbl 1311.49069 Numer. Math. 129, No. 4, 723-748 (2015). MSC: 49M25 65N30 93C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Amann, Dominic; Blaszczyk, Andreas; Of, Günther; Steinbach, Olaf Simulation of floating potentials in industrial applications by boundary element methods. (English) Zbl 1304.65256 J. Math. Ind. 4, Paper No. 13, 15 p. (2014). MSC: 65N38 78A30 × Cite Format Result Cite Review PDF Full Text: DOI
Lemster, W.; Lube, G.; Of, G.; Steinbach, O. Analysis of a kinematic dynamo model with FEM-BEM coupling. (English) Zbl 1305.76127 Math. Methods Appl. Sci. 37, No. 16, 2484-2501 (2014). MSC: 76W05 76M15 76M10 65M12 65M38 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Of, G.; Steinbach, O. On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems. (English) Zbl 1299.65270 Numer. Math. 127, No. 3, 567-593 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 65N38 65N12 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Steinbach, O.; Tchoualag, L. Fast Fourier transform for efficient evaluation of Newton potential in BEM. (English) Zbl 1291.65355 Appl. Numer. Math. 81, 1-14 (2014). MSC: 65N38 35J40 65T50 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Phan, Thanh Xuan; Steinbach, Olaf Boundary element methods for parabolic boundary control problems. (English) Zbl 1288.65135 J. Integral Equations Appl. 26, No. 1, 53-90 (2014). MSC: 65M38 35K05 65M15 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Steinbach, O. Boundary element methods for variational inequalities. (English) Zbl 1291.65193 Numer. Math. 126, No. 1, 173-197 (2014). Reviewer: Hans Benker (Merseburg) MSC: 65K15 49J40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Of, Günther; Steinbach, Olaf Is the one-equation coupling of finite and boundary element methods always stable? (English) Zbl 1281.65150 ZAMM, Z. Angew. Math. Mech. 93, No. 6-7, 476-484 (2013). Reviewer: Petr Sváček (Praha) MSC: 65N38 65N30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Steinbach, Olaf On the stability of the non-symmetric BEM/FEM coupling in linear elasticity. (English) Zbl 1312.74057 Comput. Mech. 51, No. 4, 421-430 (2013). MSC: 74S15 74S05 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Andjelic, Zoran; Of, Günther; Steinbach, Olaf; Urthaler, Peter Boundary element methods for magnetostatic field problems: a critical view. (English) Zbl 1243.78047 Comput. Vis. Sci. 14, No. 3, 117-130 (2011). MSC: 78M15 78A30 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Engleder, S.; Steinbach, O. Boundary integral formulations for the forward problem in magnetic induction tomography. (English) Zbl 1219.78135 Math. Methods Appl. Sci. 34, No. 9, 1144-1156 (2011). MSC: 78M15 65N38 × Cite Format Result Cite Review PDF Full Text: DOI Link
Steinbach, O.; Windisch, M. Stable boundary element domain decomposition methods for the Helmholtz equation. (English) Zbl 1222.65130 Numer. Math. 118, No. 1, 171-195 (2011). Reviewer: Gunther Schmidt (Berlin) MSC: 65N38 65N55 65N12 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Of, Günther; Steinbach, Olaf Coupled FE/BE formulations for the fluid-structure interaction. (English) Zbl 1430.74040 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 78, 293-300 (2011). MSC: 74F10 76Q05 76M15 74S15 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
Of, Günther; Phan, Thanh Xuan; Steinbach, Olaf Boundary element methods for Dirichlet boundary control problems. (English) Zbl 1219.49021 Math. Methods Appl. Sci. 33, No. 18, 2187-2205 (2010). MSC: 49K40 49K20 65K15 65N38 35Q93 35J25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Of, G.; Steinbach, O. The all-floating boundary element tearing and interconnecting method. (English) Zbl 1423.74943 J. Numer. Math. 17, No. 4, 277-298 (2009). MSC: 74S15 65N55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Of, G.; Kaltenbacher, M.; Steinbach, O. Fast multipole boundary element method for electrostatic field computations. (English) Zbl 1175.78027 COMPEL 28, No. 2, 304-319 (2009). MSC: 78M15 78M25 65F10 65N38 65N30 78A30 78M16 × Cite Format Result Cite Review PDF Full Text: DOI
Engleder, S.; Steinbach, O. Stabilized boundary element methods for exterior Helmholtz problems. (English) Zbl 1156.65098 Numer. Math. 110, No. 2, 145-160 (2008). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N38 35J05 65N15 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Muth, Beate; Of, Günther; Eberhard, Peter; Steinbach, Olaf Collision detection for complicated polyhedra using the fast multipole method or ray crossing. (English) Zbl 1161.74454 Arch. Appl. Mech. 77, No. 7, 503-521 (2007). MSC: 74M15 74S15 74A25 × Cite Format Result Cite Review PDF Full Text: DOI
Engleder, S.; Steinbach, O. Modified boundary integral formulations for the Helmholtz equation. (English) Zbl 1188.35049 J. Math. Anal. Appl. 331, No. 1, 396-407 (2007). MSC: 35J05 45B05 × Cite Format Result Cite Review PDF Full Text: DOI
Of, G.; Steinbach, O.; Wendland, W. L. Applications of a fast multipole Galerkin in boundary element method in linear elastostatics. (English) Zbl 1512.74097 Comput. Vis. Sci. 8, No. 3-4, 201-209 (2005). MSC: 74S15 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Steinbach, O. A natural domain decomposition method with non-matching grids. (English) Zbl 1078.65121 Appl. Numer. Math. 54, No. 3-4, 362-377 (2005). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65N55 35J25 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Steinbach, O. A note on the ellipticity of the single layer potential in two-dimensional linear elastostatics. (English) Zbl 1096.35040 J. Math. Anal. Appl. 294, No. 1, 1-6 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J25 74B05 31A15 × Cite Format Result Cite Review PDF Full Text: DOI
Bramble, James H.; Pasciak, Joseph E.; Steinbach, Olaf On the stability of the \(L^2\) projection in \(H^1(\omega)\). (English) Zbl 0989.65122 Math. Comput. 71, No. 237, 147-156 (2002). Reviewer: Michael Jung (Dresden) MSC: 65N12 65N50 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Steinbach, O.; Wendland, W. L. On C. Neumann’s method for second-order elliptic systems in domains with non-smooth boundaries. (English) Zbl 0998.35014 J. Math. Anal. Appl. 262, No. 2, 733-748 (2001). MSC: 35J55 45P05 × Cite Format Result Cite Review PDF Full Text: DOI
Ganesh, M.; Steinbach, O. The numerical solution of a nonlinear hypersingular boundary integral equation. (English) Zbl 0986.65117 J. Comput. Appl. Math. 131, No. 1-2, 267-280 (2001). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N38 35J65 × Cite Format Result Cite Review PDF Full Text: DOI
Ganesh, M.; Steinbach, O. Boundary element methods for potential problems with nonlinear boundary conditions. (English) Zbl 0971.65107 Math. Comput. 70, No. 235, 1031-1042 (2001). MSC: 65N38 65H10 65F35 35J65 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Hsiao, G. C.; Steinbach, O.; Wendland, W. L. Domain decomposition methods via boundary integral equations. (English) Zbl 0971.65111 J. Comput. Appl. Math. 125, No. 1-2, 521-537 (2000). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65Y05 35J25 65F10 65F35 65N38 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Steinbach, Olaf A note on initial higher-order convergence results for boundary element methods with approximated boundary conditions. (English) Zbl 0971.65109 Numer. Methods Partial Differ. Equations 16, No. 6, 581-588 (2000). Reviewer: Michael Jung (Dresden) MSC: 65N38 65N12 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Ganesh, M.; Steinbach, O. Nonlinear boundary integral equations for harmonic problems. (English) Zbl 0974.65112 J. Integral Equations Appl. 11, No. 4, 437-459 (1999). MSC: 65N38 65N12 31B20 35J05 35J65 31A25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Eck, C.; Steinbach, O.; Wendland, W. L. A symmetric boundary element method for contact problems with friction. (English) Zbl 1027.65162 Math. Comput. Simul. 50, No. 1-4, 43-61 (1999). MSC: 65N38 74S15 35J25 74M10 74M15 × Cite Format Result Cite Review PDF Full Text: DOI
Steinbach, O. Adaptive finite element-boundary element solution of boundary value problems. (English) Zbl 0932.65123 J. Comput. Appl. Math. 106, No. 2, 307-316 (1999). Reviewer: G.Schmidt (Berlin) MSC: 65N38 65N30 65N15 65N12 35J05 35J25 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Steinbach, O. Fast solution techniques for the symmetric boundary element method in linear elasticity. (English) Zbl 0968.74076 Comput. Methods Appl. Mech. Eng. 157, No. 3-4, 185-191 (1998). MSC: 74S15 74B05 × Cite Format Result Cite Review PDF Full Text: DOI