2-dimensional primal domain decomposition theory in detail.

DOI10.1007/S10492-015-0095-5zbMath1363.65215OpenAlexW2182849361MaRDI QIDQ499017

Petr Vodstrčil, Lukáš Malý, Jiří Bouchala, Dalibor Lukáš

Publication date: 29 September 2015

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144263

zbMATH Keywords

finite element methodpreconditioningPoisson equationdomain decomposition method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Preconditioners for iterative methods (65F08)

Related Items (1)

Domain decomposition methods coupled with parareal for the transient heat equation in 1 and 2 spatial dimensions.

Cites Work

• Unnamed Item
• An optimal Poincaré inequality for convex domains
• Convergence of a substructuring method with Lagrange multipliers
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
• Balancing domain decomposition for problems with large jumps in coefficients
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Nested Dissection of a Regular Finite Element Mesh

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