Moura, A. S.; Facco, W. G. A perfectly matched layer for the absorption of electromagnetic waves using differential forms in three-dimensional domains. (English) Zbl 07811317 J. Comput. Phys. 497, Article ID 112629, 12 p. (2024). MSC: 78Mxx 78Axx 35Qxx PDFBibTeX XMLCite \textit{A. S. Moura} and \textit{W. G. Facco}, J. Comput. Phys. 497, Article ID 112629, 12 p. (2024; Zbl 07811317) Full Text: DOI
Actor, Jonas A.; Hu, Xiaozhe; Huang, Andy; Roberts, Scott A.; Trask, Nathaniel Data-driven Whitney forms for structure-preserving control volume analysis. (English) Zbl 07807972 J. Comput. Phys. 496, Article ID 112520, 32 p. (2024). MSC: 65Nxx 74Sxx 65Mxx PDFBibTeX XMLCite \textit{J. A. Actor} et al., J. Comput. Phys. 496, Article ID 112520, 32 p. (2024; Zbl 07807972) Full Text: DOI
Lohi, Jonni Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus. (English) Zbl 1504.65024 Numer. Algorithms 91, No. 3, 1261-1285 (2022). MSC: 65D05 58A10 65D15 65N50 PDFBibTeX XMLCite \textit{J. Lohi}, Numer. Algorithms 91, No. 3, 1261--1285 (2022; Zbl 1504.65024) Full Text: DOI
Kettunen, Lauri; Lohi, Jonni; Räbinä, Jukka; Mönkölä, Sanna; Rossi, Tuomo Generalized finite difference schemes with higher order Whitney forms. (English) Zbl 07523504 ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1439-1460 (2021). MSC: 65-XX 35L05 35L10 58G16 58G20 58G40 PDFBibTeX XMLCite \textit{L. Kettunen} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 4, 1439--1460 (2021; Zbl 07523504) Full Text: DOI
Rossi, Tuomo; Räbinä, Jukka; Mönkölä, Sanna; Kiiskinen, Sampsa; Lohi, Jonni; Kettunen, Lauri Systematisation of systems solving physics boundary value problems. (English) Zbl 1470.65186 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 35-51 (2021). MSC: 65N06 35L65 PDFBibTeX XMLCite \textit{T. Rossi} et al., Lect. Notes Comput. Sci. Eng. 139, 35--51 (2021; Zbl 1470.65186) Full Text: DOI Link
Lohi, Jonni; Kettunen, Lauri Whitney forms and their extensions. (English) Zbl 1468.65200 J. Comput. Appl. Math. 393, Article ID 113520, 19 p. (2021). MSC: 65N30 58A10 PDFBibTeX XMLCite \textit{J. Lohi} and \textit{L. Kettunen}, J. Comput. Appl. Math. 393, Article ID 113520, 19 p. (2021; Zbl 1468.65200) Full Text: DOI
Casper, Thorben; Römer, Ulrich; De Gersem, Herbert; Schöps, Sebastian Coupled simulation of transient heat flow and electric currents in thin wires: application to bond wires in microelectronic chip packaging. (English) Zbl 1443.80021 Comput. Math. Appl. 79, No. 6, 1781-1801 (2020). MSC: 80A21 65M99 78A55 PDFBibTeX XMLCite \textit{T. Casper} et al., Comput. Math. Appl. 79, No. 6, 1781--1801 (2020; Zbl 1443.80021) Full Text: DOI arXiv
Cortes Garcia, Idoia; Schöps, Sebastian; De Gersem, Herbert; Baumanns, Sascha Systems of differential algebraic equations in computational electromagnetics. (English) Zbl 1444.78001 Campbell, Stephen (ed.) et al., Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. Differ.-Algebr. Equ. Forum, 123-169 (2019). MSC: 78A25 78M12 78M10 34A09 65L80 78-02 PDFBibTeX XMLCite \textit{I. Cortes Garcia} et al., in: Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. 123--169 (2019; Zbl 1444.78001) Full Text: DOI arXiv
Räbinä, Jukka; Kettunen, Lauri; Mönkölä, Sanna; Rossi, Tuomo Generalized wave propagation problems and discrete exterior calculus. (English) Zbl 1404.35288 ESAIM, Math. Model. Numer. Anal. 52, No. 3, 1195-1218 (2018). MSC: 35L65 58A10 58A14 58J32 58J90 65M06 65M12 65M22 PDFBibTeX XMLCite \textit{J. Räbinä} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 3, 1195--1218 (2018; Zbl 1404.35288) Full Text: DOI Link
Kotyczka, Paul; Maschke, Bernhard; Lefèvre, Laurent Weak form of Stokes-Dirac structures and geometric discretization of port-Hamiltonian systems. (English) Zbl 1422.65446 J. Comput. Phys. 361, 442-476 (2018). MSC: 65N99 35L65 35Q35 65N30 PDFBibTeX XMLCite \textit{P. Kotyczka} et al., J. Comput. Phys. 361, 442--476 (2018; Zbl 1422.65446) Full Text: DOI arXiv
Gansen, A.; El Hachemi, M.; Belouettar, S.; Hassan, O.; Morgan, K. An effective 3D leapfrog scheme for electromagnetic modelling of arbitrary shaped dielectric objects using unstructured meshes. (English) Zbl 1336.78011 Comput. Mech. 56, No. 6, 1023-1037 (2015). MSC: 78A48 78A25 78M20 PDFBibTeX XMLCite \textit{A. Gansen} et al., Comput. Mech. 56, No. 6, 1023--1037 (2015; Zbl 1336.78011) Full Text: DOI
Räbinä, Jukka; Mönkölä, Sanna; Rossi, Tuomo Efficient time integration of Maxwell’s equations with generalized finite differences. (English) Zbl 1337.78013 SIAM J. Sci. Comput. 37, No. 6, B834-B854 (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M20 53Z05 65F10 65M06 65M22 65M50 78A45 78M25 PDFBibTeX XMLCite \textit{J. Räbinä} et al., SIAM J. Sci. Comput. 37, No. 6, B834--B854 (2015; Zbl 1337.78013) Full Text: DOI Link
Xie, Zheng Wave equation simulation on manifold by unconditional stable schemes. (English) Zbl 1242.65172 Appl. Math. Comput. 218, No. 15, 7967-7971 (2012). MSC: 65M06 35L05 65M12 65M15 PDFBibTeX XMLCite \textit{Z. Xie}, Appl. Math. Comput. 218, No. 15, 7967--7971 (2012; Zbl 1242.65172) Full Text: DOI
Xie, Z. Q.; Hassan, O.; Morgan, K. Tailoring unstructured meshes for use with a 3D time domain co-volume algorithm for computational electromagnetics. (English) Zbl 1242.78033 Int. J. Numer. Methods Eng. 87, No. 1-5, 48-65 (2011). MSC: 78M10 78M99 78A40 PDFBibTeX XMLCite \textit{Z. Q. Xie} et al., Int. J. Numer. Methods Eng. 87, No. 1--5, 48--65 (2011; Zbl 1242.78033) Full Text: DOI
Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M. Geometric, variational discretization of continuum theories. (English) Zbl 1366.37148 Physica D 240, No. 21, 1724-1760 (2011). MSC: 37N10 37M99 65K10 76A02 76W05 PDFBibTeX XMLCite \textit{E. S. Gawlik} et al., Physica D 240, No. 21, 1724--1760 (2011; Zbl 1366.37148) Full Text: DOI arXiv
Specogna, Ruben; Trevisan, Francesco A discrete geometric approach to solving time independent Schrödinger equation. (English) Zbl 1210.65186 J. Comput. Phys. 230, No. 4, 1370-1381 (2011). MSC: 65N25 35P15 81Q05 35Q40 65N30 PDFBibTeX XMLCite \textit{R. Specogna} and \textit{F. Trevisan}, J. Comput. Phys. 230, No. 4, 1370--1381 (2011; Zbl 1210.65186) Full Text: DOI
Haber, Eldad; Heldmann, Stefan An octree multigrid method for quasi-static Maxwell’s equations with highly discontinuous coefficients. (English) Zbl 1125.78013 J. Comput. Phys. 223, No. 2, 783-796 (2007). MSC: 78M25 65N55 78A30 65F10 PDFBibTeX XMLCite \textit{E. Haber} and \textit{S. Heldmann}, J. Comput. Phys. 223, No. 2, 783--796 (2007; Zbl 1125.78013) Full Text: DOI Link
Clemens, M.; Feigh, S.; Wilke, M.; Weiland, T. Non-nested geometric multigrid method using consistency error correction for discrete magnetic curl-curl formulations. (English) Zbl 1116.78028 COMPEL 23, No. 4, 913-922 (2004). Reviewer: Luca F. Pavarino (Milano) MSC: 78M25 65M55 PDFBibTeX XMLCite \textit{M. Clemens} et al., COMPEL 23, No. 4, 913--922 (2004; Zbl 1116.78028) Full Text: DOI
Mackerle, Jaroslav 2D and 3D finite element meshing and remeshing. A bibliography (1990-2001). (English) Zbl 0991.65116 Eng. Comput. (Bradf.) 18, No. 8, 1108-1197 (2001). MSC: 65N30 74S05 65M60 65M50 65N50 65Y05 65-00 PDFBibTeX XMLCite \textit{J. Mackerle}, Eng. Comput. (Bradf.) 18, No. 8, 1108--1197 (2001; Zbl 0991.65116) Full Text: DOI
Haber, E.; Ascher, U. M.; Aruliah, D. A.; Oldenburg, D. W. Fast simulation of 3D electromagnetic problems using potentials. (English) Zbl 1145.78323 J. Comput. Phys. 163, No. 1, 150-171 (2000). MSC: 78M25 78A25 65N06 65N22 PDFBibTeX XMLCite \textit{E. Haber} et al., J. Comput. Phys. 163, No. 1, 150--171 (2000; Zbl 1145.78323) Full Text: DOI Link