Innerberger, Michael; Praetorius, Dirk MooAFEM: an object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. (English) Zbl 1511.65003 Appl. Math. Comput. 442, Article ID 127731, 17 p. (2023). MSC: 65-04 65N30 65N50 68W30 PDFBibTeX XMLCite \textit{M. Innerberger} and \textit{D. Praetorius}, Appl. Math. Comput. 442, Article ID 127731, 17 p. (2023; Zbl 1511.65003) Full Text: DOI arXiv
Gantner, Gregor; Haberl, Alexander; Praetorius, Dirk; Schimanko, Stefan Rate optimality of adaptive finite element methods with respect to overall computational costs. (English) Zbl 1468.65189 Math. Comput. 90, No. 331, 2011-2040 (2021). MSC: 65N30 65N50 65Y20 65N22 65N12 65H10 65F08 65F10 41A25 PDFBibTeX XMLCite \textit{G. Gantner} et al., Math. Comput. 90, No. 331, 2011--2040 (2021; Zbl 1468.65189) 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
Le, Kim-Ngan; Page, Marcus; Praetorius, Dirk; Tran, Thanh On a decoupled linear FEM integrator for eddy-current-LLG. (English) Zbl 1316.65087 Appl. Anal. 94, No. 5, 1051-1067 (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 65M60 65M12 35K55 78A30 78M10 35Q61 35Q56 PDFBibTeX XMLCite \textit{K.-N. Le} et al., Appl. Anal. 94, No. 5, 1051--1067 (2015; Zbl 1316.65087) 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
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