Application of the shifted-Laplace preconditioner for iterative solution of a higher order finite element discretisation of the vector wave equation: first experiences

DOI10.1016/j.apnum.2010.07.004zbMath1203.78044OpenAlexW1972281507MaRDI QIDQ607131

P. B. Hooghiemstra, Kees Vuik, Duncan R. van der Heul

Publication date: 19 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.07.004

zbMATH Keywords

finite elementsMaxwell equationselectromagnetic scatteringshifted-Laplace preconditioner

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Preconditioners for iterative methods (65F08) Maxwell equations (35Q61)

Related Items

Block Preconditioning Techniques for Geophysical Electromagnetics ⋮ A multigrid-based preconditioned solver for the Helmholtz equation with a discretization by 25-point difference scheme

Cites Work

• On a class of preconditioners for solving the Helmholtz equation
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian
• The design of a new frontal code for solving sparse, unsymmetric systems
• A novel hybridization of higher order finite element and boundary integral methods for electromagnetic scattering and radiation problems
• GMRESR: a family of nested GMRES methods
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• A special higher order finite-element method for scattering by deep cavities
• A fully high-order finite-element simulation of scattering by deep cavities
• A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
• A frontal solution program for finite element analysis