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A Robust Preconditioned MinRes Solver for Time-periodic Eddy Current Problems
-
Michael Kolmbauer
and
Ulrich Langer
Published/Copyright:
January 3, 2013
Abstract.
This work is devoted to fast and parameter-robust iterative solvers for frequency domain finite element equations, approximating the time-periodic eddy current problem with multiharmonic or time-periodic excitations in time. We construct a preconditioned MinRes solver for the frequency domain equations, that is robust with respect to the discretization parameters as well as all involved “bad” parameters like the conductivity, the reluctivity and possible regularization parameters.
Keywords: time-periodic eddy current problems; multiharmonic finite element discretization; MinRes solver; block-diagonal preconditioners
Published Online: 2013-01-03
Published in Print: 2013-01-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- A Robust Preconditioned MinRes Solver for Time-periodic Eddy Current Problems
- Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method
- On Cardinal Spline Interpolation
- Convection Problems on Anisotropic Meshes
- Pointwise Error Estimates for the LDG Method Applied to 1-d Singularly Perturbed Reaction-Diffusion Problems
- Implementing Galerkin Finite Element Methods for Semilinear Elliptic Differential Inclusions
Keywords for this article
time-periodic eddy current problems;
multiharmonic finite element discretization;
MinRes solver;
block-diagonal preconditioners
Articles in the same Issue
- Masthead
- A Robust Preconditioned MinRes Solver for Time-periodic Eddy Current Problems
- Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method
- On Cardinal Spline Interpolation
- Convection Problems on Anisotropic Meshes
- Pointwise Error Estimates for the LDG Method Applied to 1-d Singularly Perturbed Reaction-Diffusion Problems
- Implementing Galerkin Finite Element Methods for Semilinear Elliptic Differential Inclusions
