High order biorthogonal functions in \(H(\mathrm{curl})\)

DOI10.1137/23m1606794MaRDI QIDQ6622689

Joachim Schöberl, Sven Beuchler, Tim Haubold

Publication date: 22 October 2024

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

finite elementsorthogonal polynomialsnumerical methods for partial differential equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sparsity optimized high order finite element functions for \(H(\mathrm{curl})\) on tetrahedra
• Sparsity optimized high order finite element functions for H(div) on simplices
• Spectral methods on triangles and other domains
• \(hp\)-finite element methods for singular perturbations
• Condition number and diagonal preconditioning: Comparison of the \(p\)-version and the spectral element methods
• Bernstein-Bézier bases for tetrahedral finite elements
• Orientation embedded high order shape functions for the exact sequence elements of all shapes
• Nédélec spaces in affine coordinates
• Sparse shape functions for tetrahedral \(p\)-FEM using integrated Jacobi polynomials
• New shape functions for triangular \(p\)-FEM using integrated Jacobi polynomials
• A multigrid method based on the unconstrained product space for mortar finite element discretizations
• Sparsity Optimized High Order Finite Element Functions on Simplices
• Bernstein–Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures
• The problem of selecting the shape functions for ap-type finite element
• Finite Element Methods for Maxwell's Equations
• A new triangular and tetrahedral basis for high‐order (hp) finite element methods
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• Orthogonal Polynomials of Several Variables
• Hierachic \(hp\)-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes

This page was built for publication: High order biorthogonal functions in \(H(\mathrm{curl})\)