Analysis and Preconditioning of a Probabilistic Domain Decomposition Algorithm for Elliptic Boundary Value Problems

We perform a rigorous numerical analysis of the PDDSparse algorithm [Bernal, Morón-Vidal & Acebrón, Comp.Math.& App. 146 (2023)] for domain decomposition of partial differential equations. PDDSparse is a novel, recently introduced parallelisation paradigm for solving large-scale elliptic bou...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 105; no. 1; p. 17
Main Authors:	Bernal, Francisco, Morón-Vidal, Jorge
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2025 Springer Nature B.V
Subjects:	Algorithms Approximation Boundary conditions Boundary value problems Computational Mathematics and Numerical Analysis Computer simulation Decomposition Domain decomposition methods Heuristic Knots Linear algebra Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Matrix algebra Monte Carlo simulation Numerical analysis Partial differential equations Preconditioning Simulation Stiffness matrix Theoretical M-matrix Feynman-Kac formula 65Y05 High performance computing (HPC) 65F50 Numerical PDE GMRES Condition number 65D05 65C05 Domain decomposition Preconditioning 65F08 65N75
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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