Homology and Cohomology Computation in Finite Element Modeling

DOI10.1137/130906556zbMath1282.65121OpenAlexW2025459390WikidataQ54119623 ScholiaQ54119623MaRDI QIDQ2870661

S. Suuriniemi, M. Pellikka, L. Kettunen, Christophe A. Geuzaine

Publication date: 21 January 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130906556

zbMATH Keywords

finite element methodelectromagneticshomology computationcohomology computationlumped parameter coupling

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Algebraic topology on manifolds and differential topology (57R19)

Related Items (5)

A Graph-Based Algorithm for the Approximation of the Spectrum of the Curl Operator ⋮ Efficient construction of 2-chains representing a basis of \(H_{2}(\overline {\Omega }, \partial {\Omega }; \mathbb {Z})\) ⋮ Cuts for 3-D magnetic scalar potentials: visualizing unintuitive surfaces arising from trivial knots ⋮ A category theoretical interpretation of discretization in Galerkin finite element method ⋮ The geometry of induced electromagnetic fields in moving media

Uses Software

• Gmsh
• CHomP
• jPlex
• Hull

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