Weighted edge finite element method for Maxwell's equations with strong singularity

DOI10.1134/S1064562413020105zbMath1281.78015OpenAlexW2045138500MaRDI QIDQ2375985

Andrey O. Mosolapov, Victor Anatolievich Rukavishnikov

Publication date: 25 June 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413020105

zbMATH Keywords

Maxwell equationsweighted edge finite element

Mathematics Subject Classification ID

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)

Related Items (10)

Weighted FEM for Two-Dimensional Elasticity Problem with Corner Singularity ⋮ Error estimate FEM for the Nikol'skij-Lizorkin problem with degeneracy ⋮ The Finite Difference Method for Boundary Value Problem with Singularity ⋮ Weighted finite element method for an elasticity problem with singularity ⋮ On the Error Estimation of the Finite Element Method for the Boundary Value Problems with Singularity in the Lebesgue Weighted Space ⋮ On the existence and uniqueness of an \(R_\nu\)-generalized solution of a boundary value problem with uncoordinated degeneration of the input data ⋮ Unnamed Item ⋮ Weighted finite element method for the Stokes problem with corner singularity ⋮ New Approximate Method for Solving the Stokes Problem in a Domain with Corner Singularity ⋮ Existence and uniqueness of an \(R_ \nu\)-generalized solution of the Dirichlet problem for the Lamé system with a corner singularity

Cites Work

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• The finite element method for a boundary value problem with strong singularity
• Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
• Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
• Nodal finite element methods for Maxwell's equations
• Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
• Time-dependent Maxwell's equations with charges in singular geometries
• Singular electromagnetic fields: inductive approach
• Methods of numerical analysis for boundary value problems with strong singularity
• EXPONENTIAL CONVERGENCE OF hp-FEM FOR MAXWELL EQUATIONS WITH WEIGHTED REGULARIZATION IN POLYGONAL DOMAINS

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