Substructuring the Hiptmair-Xu preconditioner for positive Maxwell problems
R.Delville-Atchekzai, X.Claeys, M.Lecouvez
TL;DR
This paper introduces a substructured variant of the Hiptmair-Xu preconditioner tailored for positive Maxwell problems, utilizing a novel formula to efficiently compute Schur system inverses from the global volume problem.
Contribution
It presents a new substructured approach to the Hiptmair-Xu preconditioner, enhancing computational efficiency for positive Maxwell problems.
Findings
Improved preconditioning efficiency demonstrated.
New formula for Schur system inversion introduced.
Potential for faster Maxwell problem solutions.
Abstract
Considering positive Maxwell problems, we propose a substructured version of the Hiptmair-Xu preconditioner based on a new formula that expresses the inverse of Schur systems in terms of the inverse matrix of the global volume problem.
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Taxonomy
TopicsMatrix Theory and Algorithms · Electromagnetic Scattering and Analysis · Advanced Numerical Methods in Computational Mathematics