Preconditioners for higher order edge finite element discretizations of Maxwell's equations

DOI10.1007/s11425-008-0098-8zbMath1158.78010OpenAlexW1964635609MaRDI QIDQ2519317

Shi Shu, Liuqiang Zhong, Dudu Sun, Lin Tan

Publication date: 26 January 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0098-8

zbMATH Keywords

preconditionerstable decompositionhigher order edge finite element

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

• Mixed finite elements in \(\mathbb{R}^3\)
• Multigrid in H(div) and H(curl)
• Auxiliary space preconditioning in \(H_0(\text{curl};\Omega)\)
• An algebraic multigrid method for higher-order finite element discretizations
• Finite elements in computational electromagnetism
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Multigrid Method for Maxwell's Equations
• Hierarchic finite element bases on unstructured tetrahedral meshes
• Finite Element Methods for Maxwell's Equations
• Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
• An Adaptive Multilevel Method for Time‐Harmonic Maxwell Equations with Singularities
• Unnamed Item

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