Schwarz Preconditioning for High Order Edge Element Discretizations of the Time-Harmonic Maxwell’s Equations

DOI10.1007/978-3-319-52389-7_10zbMath1371.78313OpenAlexW2595605644MaRDI QIDQ5282899

Victorita Dolean, Francesca Rapetti, Marcella Bonazzoli, Richard Pasquetti

Publication date: 17 July 2017

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-52389-7_10

zbMATH Keywords

Schwarz preconditionersiterative solverwaveguide problemshigh-order edge element approximations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Antennas, waveguides in optics and electromagnetic theory (78A50) Preconditioners for iterative methods (65F08)

Related Items (1)

A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems

Cites Work

• Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations
• Schwarz methods over the course of time
• Mixed finite elements in \(\mathbb{R}^3\)
• Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
• Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
• Optimized Schwarz Methods for Maxwell's Equations
• Whitney Forms of Higher Degree
• High order edge elements on simplicial meshes

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