Sparsity optimized high order finite element functions for \(H(\mathrm{curl})\) on tetrahedra

DOI10.1016/j.aam.2012.11.004zbMath1285.65077OpenAlexW2079048889MaRDI QIDQ394759

Sven Beuchler, Veronika Pillwein, Sabine Zaglmayr

Publication date: 27 January 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2012.11.004

zbMATH Keywords

algorithmorthogonal polynomialssymbolic computationhigh-order finite elementsMaxwell's equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)

Related Items (4)

On basis constructions in finite element exterior calculus ⋮ Novel Raviart-Thomas basis functions on anisotropic finite elements ⋮ Orientation embedded high order shape functions for the exact sequence elements of all shapes ⋮ Creative Telescoping for Holonomic Functions

Uses Software

• gfun
• Mathematica
• SumCracker
• HolonomicFunctions
• SIGMA

Cites Work

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