A new sequence of hierarchic prismatic elements satisfying De Rham diagram on hybrid meshes

DOI10.1515/156939505775248329zbMath1089.78022OpenAlexW2059549114MaRDI QIDQ5290248

Pavel Šolín, Karel Segeth

Publication date: 28 April 2006

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939505775248329

zbMATH Keywords

hybrid meshes\(hp\)-FEMprismatic elementsde Rham diagramhigher-order elementshierarchic elements

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (1)

\(C^1\) continuous \(h\)-adaptive least-squares spectral element method for phase-field models

Cites Work

• Unnamed Item
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain
• Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements
• Discrete Vector Potential Representation of a Divergence-Free Vector Field in Three-Dimensional Domains: Numerical Analysis of a Model Problem
• Hierachic \(hp\)-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes

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