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
Pfeiler, Carl-Martin; Ruggeri, Michele; Stiftner, Bernhard; Exl, Lukas; Hochsteger, Matthias; Hrkac, Gino; Schöberl, Joachim; Mauser, Norbert J.; Praetorius, Dirk Computational micromagnetics with Commics. (English) Zbl 07678470 Comput. Phys. Commun. 248, Article ID 106965, 11 p. (2020). MSC: 78-XX 82-XX PDFBibTeX XMLCite \textit{C.-M. Pfeiler} et al., Comput. Phys. Commun. 248, Article ID 106965, 11 p. (2020; Zbl 07678470) Full Text: DOI arXiv
Führer, Thomas; Praetorius, Dirk A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems. (English) Zbl 1415.65247 Comput. Math. Appl. 75, No. 8, 2678-2697 (2018). MSC: 65N22 65N30 65N38 35J25 35J62 PDFBibTeX XMLCite \textit{T. Führer} and \textit{D. Praetorius}, Comput. Math. Appl. 75, No. 8, 2678--2697 (2018; Zbl 1415.65247) Full Text: DOI arXiv
Feischl, Michael; Führer, Thomas; Praetorius, Dirk; Stephan, Ernst P. Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements. (English) Zbl 1365.65253 Numer. Methods Partial Differ. Equations 33, No. 3, 603-632 (2017). MSC: 65N30 65N38 65F08 PDFBibTeX XMLCite \textit{M. Feischl} et al., Numer. Methods Partial Differ. Equations 33, No. 3, 603--632 (2017; Zbl 1365.65253) Full Text: DOI arXiv
Führer, T.; Melenk, J. M.; Praetorius, Dirk; Rieder, Alexander Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes. (English) Zbl 1443.65403 Comput. Math. Appl. 70, No. 7, 1583-1605 (2015). MSC: 65N38 65N55 45E05 PDFBibTeX XMLCite \textit{T. Führer} et al., Comput. Math. Appl. 70, No. 7, 1583--1605 (2015; Zbl 1443.65403) Full Text: DOI arXiv
Aurada, M.; Melenk, J. M.; Praetorius, D. FEM-BEM coupling for the large-body limit in micromagnetics. (English) Zbl 1310.78014 J. Comput. Appl. Math. 281, 10-31 (2015). MSC: 78M10 78M15 65N30 65N38 78A25 PDFBibTeX XMLCite \textit{M. Aurada} et al., J. Comput. Appl. Math. 281, 10--31 (2015; Zbl 1310.78014) Full Text: DOI
Feischl, Michael; Führer, Thomas; Mitscha-Eibl, Gregor; Praetorius, Dirk; Stephan, Ernst P. Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without \(h\)-weighting factor. (English) Zbl 1303.65091 Comput. Methods Appl. Math. 14, No. 4, 485-508 (2014). MSC: 65N12 65N38 65N30 65N50 PDFBibTeX XMLCite \textit{M. Feischl} et al., Comput. Methods Appl. Math. 14, No. 4, 485--508 (2014; Zbl 1303.65091) Full Text: DOI arXiv
Bruckner, F.; Suess, D.; Feischl, M.; Führer, T.; Goldenits, P.; Page, M.; Praetorius, D.; Ruggeri, M. Multiscale modeling in micromagnetics: existence of solutions and numerical integration. (English) Zbl 1320.35336 Math. Models Methods Appl. Sci. 24, No. 13, 2627-2662 (2014). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q60 65N30 78M10 78M15 PDFBibTeX XMLCite \textit{F. Bruckner} et al., Math. Models Methods Appl. Sci. 24, No. 13, 2627--2662 (2014; Zbl 1320.35336) Full Text: DOI arXiv
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
Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity. (English) Zbl 1312.74031 Comput. Mech. 51, No. 4, 399-419 (2013). MSC: 74S05 74S15 65N30 65N38 74A50 PDFBibTeX XMLCite \textit{M. Aurada} et al., Comput. Mech. 51, No. 4, 399--419 (2013; Zbl 1312.74031) Full Text: DOI arXiv
Aurada, Markus; Feischl, Michael; Praetorius, Dirk Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems. (English) Zbl 1276.65066 ESAIM, Math. Model. Numer. Anal. 46, No. 5, 1147-1173 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65N12 65N30 65N15 65N38 35J05 35J60 PDFBibTeX XMLCite \textit{M. Aurada} et al., ESAIM, Math. Model. Numer. Anal. 46, No. 5, 1147--1173 (2012; Zbl 1276.65066) 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 Averaging techniques for the a posteriori BEM error control for a hypersingular integral equation in two dimensions. (English) Zbl 1140.65089 SIAM J. Sci. Comput. 29, No. 2, 782-810 (2007). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N50 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{D. Praetorius}, SIAM J. Sci. Comput. 29, No. 2, 782--810 (2007; Zbl 1140.65089) Full Text: DOI Link