A One-level Additive Schwarz Preconditioner for a Discontinuous Petrov-Galerkin Method
Andrew T. Barker, Susanne C. Brenner, Eun-Hee Park, Li-Yeng Sung
TL;DR
This paper introduces a one-level additive Schwarz preconditioner tailored for a Discontinuous Petrov-Galerkin (DPG) method applied to the Poisson problem, aiming to improve computational efficiency.
Contribution
It proposes a novel domain decomposition preconditioner specifically designed for DPG methods, enhancing their scalability and performance.
Findings
Preconditioner improves convergence rates.
Effective for large-scale Poisson problems.
Demonstrates robustness across different mesh sizes.
Abstract
Discontinuous Petrov-Galerkin (DPG) methods are new discontinuous Galerkin methods with interesting properties. In this article we consider a domain decomposition preconditioner for a DPG method for the Poisson problem.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Matrix Theory and Algorithms · Numerical methods for differential equations