Work

Superlinear Krylov convergence under streamline diffusion FEM for convection‐dominated elliptic operators

Year: 2024

Type: article

Abstract: This paper studies the superlinear convergence of Krylov iterations under the streamline‐diffusion preconditioning operator for convection‐dominated elliptic problems. First, convergence results are given involving the diffusion parameter . Then the limiting case is studied on the operator level, and the convergence results are extended to this situation under some conditions, in spite of the lack of compactness of the perturbation operators. An explicit rate is also given.

Source: Numerical Linear Algebra with Applications

DOI: 10.1002/nla.2586

Author: János Karátson

Institutions: Eötvös Loránd University, Budapest University of Technology and Economics

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,650

Funders: Eötvös Loránd Tudományegyetem, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap, National Research, Development and Innovation Office