Kurz, Stefan; Pauly, Dirk; Praetorius, Dirk; Repin, Sergey; Sebastian, Daniel Functional a posteriori error estimates for boundary element methods. (English) Zbl 1464.65234 Numer. Math. 147, No. 4, 937-966 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N30 65N35 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{S. Kurz} et al., Numer. Math. 147, No. 4, 937--966 (2021; Zbl 1464.65234) Full Text: DOI arXiv
Marshall, Joshua P.; Richardson, J. D. A three-dimensional, \(p\)-version BEM: high-order refinement leveraged through regularization. (English) Zbl 1464.65242 Eng. Anal. Bound. Elem. 122, 13-20 (2021). MSC: 65N38 65R20 PDFBibTeX XMLCite \textit{J. P. Marshall} and \textit{J. D. Richardson}, Eng. Anal. Bound. Elem. 122, 13--20 (2021; Zbl 1464.65242) Full Text: DOI
Praetorius, Dirk; Ruggeri, Michele; Stephan, Ernst P. The saturation assumption yields optimal convergence of two-level adaptive BEM. (English) Zbl 1440.65263 Appl. Numer. Math. 152, 105-124 (2020). MSC: 65N38 35R09 45E10 65R20 65N15 65N50 PDFBibTeX XMLCite \textit{D. Praetorius} et al., Appl. Numer. Math. 152, 105--124 (2020; Zbl 1440.65263) Full Text: DOI arXiv
Liu, Lei; Zhang, Junqi; Song, Chongmin; Birk, Carolin; Saputra, Albert A.; Gao, Wei Automatic three-dimensional acoustic-structure interaction analysis using the scaled boundary finite element method. (English) Zbl 1452.65350 J. Comput. Phys. 395, 432-460 (2019). MSC: 65N30 65Z05 74B05 74S05 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Comput. Phys. 395, 432--460 (2019; Zbl 1452.65350) Full Text: DOI
Bird, Robert E.; Coombs, William M.; Giani, Stefano A posteriori discontinuous Galerkin error estimator for linear elasticity. (English) Zbl 1428.74201 Appl. Math. Comput. 344-345, 78-96 (2019). MSC: 74S05 65N30 35J57 35Q74 65N15 65N50 74B05 PDFBibTeX XMLCite \textit{R. E. Bird} et al., Appl. Math. Comput. 344--345, 78--96 (2019; Zbl 1428.74201) Full Text: DOI
Banz, Lothar; Stephan, Ernst P. On \(hp\)-adaptive BEM for frictional contact problems in linear elasticity. (English) Zbl 1443.65398 Comput. Math. Appl. 69, No. 7, 559-581 (2015). MSC: 65N38 65N50 74B05 74M10 PDFBibTeX XMLCite \textit{L. Banz} and \textit{E. P. Stephan}, Comput. Math. Appl. 69, No. 7, 559--581 (2015; Zbl 1443.65398) Full Text: DOI
Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. (English) Zbl 1348.65172 Arch. Comput. Methods Eng. 22, No. 3, 309-389 (2015). MSC: 65N38 65N50 65N12 65N30 65-02 PDFBibTeX XMLCite \textit{M. Feischl} et al., Arch. Comput. Methods Eng. 22, No. 3, 309--389 (2015; Zbl 1348.65172) Full Text: DOI arXiv
Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk Energy norm based error estimators for adaptive BEM for hypersingular integral equations. (English) Zbl 1320.65184 Appl. Numer. Math. 95, 15-35 (2015). MSC: 65N38 65N15 PDFBibTeX XMLCite \textit{M. Aurada} et al., Appl. Numer. Math. 95, 15--35 (2015; Zbl 1320.65184) Full Text: DOI
Aurada, Markus; Ebner, Michael; Feischl, Michael; Ferraz-Leite, Samuel; Führer, Thomas; Goldenits, Petra; Karkulik, Michael; Mayr, Markus; Praetorius, Dirk HILBERT – a MATLAB implementation of adaptive 2D-BEM. \(\underline {\text H}\)ilbert \(\underline {\text I}\)s a \(\underline {\text L}\)ovely \(\underline {\text B}\)oundary \(\underline {\text E}\)lement \(\underline {\text R}\)esearch \(\underline {\text T}\)ool. (English) Zbl 1298.65183 Numer. Algorithms 67, No. 1, 1-32 (2014). MSC: 65N38 35J05 65Y15 65N15 65N50 65N12 PDFBibTeX XMLCite \textit{M. Aurada} et al., Numer. Algorithms 67, No. 1, 1--32 (2014; Zbl 1298.65183) Full Text: DOI
Domínguez, Catalina; Heuer, Norbert A posteriori error analysis for a boundary element method with nonconforming domain decomposition. (English) Zbl 1297.65135 Numer. Methods Partial Differ. Equations 30, No. 3, 947-963 (2014). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N15 65N55 65N38 35J05 65N50 PDFBibTeX XMLCite \textit{C. Domínguez} and \textit{N. Heuer}, Numer. Methods Partial Differ. Equations 30, No. 3, 947--963 (2014; Zbl 1297.65135) Full Text: DOI arXiv
Feischl, Michael; Führer, Thomas; Karkulik, Michael; Praetorius, Dirk ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve. (English) Zbl 1287.65102 Eng. Anal. Bound. Elem. 38, 49-60 (2014). MSC: 65N15 65N38 65N50 PDFBibTeX XMLCite \textit{M. Feischl} et al., Eng. Anal. Bound. Elem. 38, 49--60 (2014; Zbl 1287.65102) Full Text: DOI arXiv
Liu, Baoqing; Du, Qikui A nonoverlapping domain decomposition method for an exterior anisotropic quasilinear elliptic problem in elongated domains. (English) Zbl 1299.65268 Math. Probl. Eng. 2013, Article ID 828615, 16 p. (2013). MSC: 65N30 65N55 PDFBibTeX XMLCite \textit{B. Liu} and \textit{Q. Du}, Math. Probl. Eng. 2013, Article ID 828615, 16 p. (2013; Zbl 1299.65268) Full Text: DOI
Karkulik, Michael; Of, Günther; Praetorius, Dirk Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement. (English) Zbl 1280.65116 Numer. Methods Partial Differ. Equations 29, No. 6, 2081-2106 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N12 65N38 65N15 35J05 65N50 PDFBibTeX XMLCite \textit{M. Karkulik} et al., Numer. Methods Partial Differ. Equations 29, No. 6, 2081--2106 (2013; Zbl 1280.65116) Full Text: DOI
Erath, C.; Funken, S.; Goldenits, P.; Praetorius, D. Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D. (English) Zbl 1278.65168 Appl. Anal. 92, No. 6, 1194-1216 (2013). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N15 65N38 65N50 35J25 PDFBibTeX XMLCite \textit{C. Erath} et al., Appl. Anal. 92, No. 6, 1194--1216 (2013; Zbl 1278.65168) Full Text: DOI
Hiptmair, R.; Jerez-Hanckes, C. Multiple traces boundary integral formulation for Helmholtz transmission problems. (English) Zbl 1261.65123 Adv. Comput. Math. 37, No. 1, 39-91 (2012). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N38 65N12 35J05 PDFBibTeX XMLCite \textit{R. Hiptmair} and \textit{C. Jerez-Hanckes}, Adv. Comput. Math. 37, No. 1, 39--91 (2012; Zbl 1261.65123) Full Text: DOI Link
Aurada, Markus; Ferraz-Leite, Samuel; Praetorius, Dirk Estimator reduction and convergence of adaptive BEM. (English) Zbl 1237.65131 Appl. Numer. Math. 62, No. 6, 787-801 (2012). MSC: 65N38 PDFBibTeX XMLCite \textit{M. Aurada} et al., Appl. Numer. Math. 62, No. 6, 787--801 (2012; Zbl 1237.65131) Full Text: DOI
Aurada, M.; Ferraz-Leite, S.; Goldenits, P.; Karkulik, M.; Mayr, M.; Praetorius, D. Convergence of adaptive BEM for some mixed boundary value problem. (English) Zbl 1242.65220 Appl. Numer. Math. 62, No. 4, 226-245 (2012). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N12 65N38 65N15 35J05 PDFBibTeX XMLCite \textit{M. Aurada} et al., Appl. Numer. Math. 62, No. 4, 226--245 (2012; Zbl 1242.65220) Full Text: DOI
Carstensen, Carsten; Praetorius, Dirk Convergence of adaptive boundary element methods. (English) Zbl 1238.65124 J. Integral Equations Appl. 24, No. 1, 1-23 (2012). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{D. Praetorius}, J. Integral Equations Appl. 24, No. 1, 1--23 (2012; Zbl 1238.65124) Full Text: DOI Euclid
Erath, C.; Ferraz-Leite, S.; Funken, S.; Praetorius, D. Energy norm based a posteriori error estimation for boundary element methods in two dimensions. (English) Zbl 1177.65192 Appl. Numer. Math. 59, No. 11, 2713-2734 (2009). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 45E10 65N38 65N15 35J05 PDFBibTeX XMLCite \textit{C. Erath} et al., Appl. Numer. Math. 59, No. 11, 2713--2734 (2009; Zbl 1177.65192) Full Text: DOI
Bruno, Oscar P.; Ovall, Jeffrey S.; Turc, Catalin A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains. (English) Zbl 1176.65139 Computing 84, No. 3-4, 149-181 (2009). MSC: 65N38 35J05 35C15 65N12 PDFBibTeX XMLCite \textit{O. P. Bruno} et al., Computing 84, No. 3--4, 149--181 (2009; Zbl 1176.65139) Full Text: DOI
Ferraz-Leite, S.; Praetorius, D. Simple a posteriori error estimators for the \(h\)-version of the boundary element method. (English) Zbl 1175.65126 Computing 83, No. 4, 135-162 (2008). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N38 65R20 45E10 35J25 PDFBibTeX XMLCite \textit{S. Ferraz-Leite} and \textit{D. Praetorius}, Computing 83, No. 4, 135--162 (2008; Zbl 1175.65126) Full Text: DOI
Stephan, E. P.; Maischak, M.; Leydecker, F. An \(hp\)-adaptive finite element/boundary element coupling method for electromagnetic problems. (English) Zbl 1166.78007 Comput. Mech. 39, No. 5, 673-680 (2007). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65N30 35Q60 PDFBibTeX XMLCite \textit{E. P. Stephan} et al., Comput. Mech. 39, No. 5, 673--680 (2007; Zbl 1166.78007) Full Text: DOI
Maischak, Matthias; Stephan, Ernst P. Adaptive \(hp\)-versions of boundary element methods for elastic contact problems. (English) Zbl 1191.74054 Comput. Mech. 39, No. 5, 597-607 (2007). Reviewer: Ján Sládek (Bratislava) MSC: 74S15 74M15 74B05 65N15 65N12 PDFBibTeX XMLCite \textit{M. Maischak} and \textit{E. P. Stephan}, Comput. Mech. 39, No. 5, 597--607 (2007; Zbl 1191.74054) Full Text: DOI
Eibner, T.; Melenk, J. M. An adaptive strategy for \(hp\)-FEM based on testing for analyticity. (English) Zbl 1163.65331 Comput. Mech. 39, No. 5, 575-595 (2007). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{T. Eibner} and \textit{J. M. Melenk}, Comput. Mech. 39, No. 5, 575--595 (2007; Zbl 1163.65331) Full Text: DOI
Maischak, Matthias; Stephan, Ernst P. Adaptive \(hp\)-versions of BEM for Signorini problems. (English) Zbl 1114.74062 Appl. Numer. Math. 54, No. 3-4, 425-449 (2005). MSC: 74S15 65N38 74M15 PDFBibTeX XMLCite \textit{M. Maischak} and \textit{E. P. Stephan}, Appl. Numer. Math. 54, No. 3--4, 425--449 (2005; Zbl 1114.74062) Full Text: DOI
Houston, Paul; Süli, Endre A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations. (English) Zbl 1074.65131 Comput. Methods Appl. Mech. Eng. 194, No. 2-5, 229-243 (2005). Reviewer: H. P. Dikshit (New Delhi) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{P. Houston} and \textit{E. Süli}, Comput. Methods Appl. Mech. Eng. 194, No. 2--5, 229--243 (2005; Zbl 1074.65131) Full Text: DOI
Heuer, Norbert An \(hp\)-adaptive refinement strategy for hypersingular operators on surfaces. (English) Zbl 0999.65139 Numer. Methods Partial Differ. Equations 18, No. 3, 396-419 (2002). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N12 65N50 35J25 PDFBibTeX XMLCite \textit{N. Heuer}, Numer. Methods Partial Differ. Equations 18, No. 3, 396--419 (2002; Zbl 0999.65139) Full Text: DOI
Gatica, Gabriel N.; Hsiao, George C.; Mellado, Mario E. A domain decomposition method based on BEM and FEM for linear exterior boundary value problems. (English) Zbl 0987.65130 J. Math. Anal. Appl. 262, No. 1, 70-86 (2001). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N55 65F10 65F35 65N30 35J25 65Y05 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., J. Math. Anal. Appl. 262, No. 1, 70--86 (2001; Zbl 0987.65130) Full Text: DOI
Gatica, G. N.; Hernandez, E. C.; Mellado, M. E. A domain decomposition method for linear exterior boundary value problems. (English) Zbl 0940.65132 Appl. Math. Lett. 11, No. 6, 1-9 (1998). MSC: 65N38 65N55 65F10 65F35 65N30 35J05 65Y05 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Appl. Math. Lett. 11, No. 6, 1--9 (1998; Zbl 0940.65132) Full Text: DOI