A Method for Solving an Exterior Boundary Value Problem for the Laplace Equation by Overlapping Domain Decomposition

DOI10.1134/S1990478919030128zbMath1438.65311OpenAlexW2970360374WikidataQ127311267 ScholiaQ127311267MaRDI QIDQ4973185

A. O. Savchenko, Alexey V. Petukhov

Publication date: 2 December 2019

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478919030128

zbMATH Keywords

Laplace equationoverlapping domain decompositionKrylov subspaceexterior boundary value problemoperator equation on a sphere

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

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• Fast immersed interface Poisson solver for 3D unbounded problems around arbitrary geometries
• A D-N alternating algorithm for solving 3D exterior Helmholtz problems
• A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
• A method for solving an exterior three-dimensional boundary value problem for the Laplace equation
• Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains

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