Efficient parallel implementations of finite element methods based on the conjugate gradient method

DOI10.1016/S0096-3003(03)00279-0zbMath1032.65130MaRDI QIDQ1412497

Hee-Dae Kwon

Publication date: 25 November 2003

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

zbMATH Keywords

finite element methodnumerical examplesparallel computationconjugate gradient methodPoisson equationstiffness matrix

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05)

Related Items (1)

Direct numerical simulation of saturated deformable porous media using parallel hybrid Lattice-Boltzmann and finite element method

Uses Software

• MPI

Cites Work

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• Parallel implementation of the block conjugate gradient algorithm
• Some aspects of parallel implementation of the finite-element method on message passing architectures
• Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1)
• Parallel m-step preconditioners for the conjugate gradient method
• An iterative and parallel solver based on domain decomposition for the \(h-p\) version of the finite element method
• Parallel Domain Decomposition Solver for Adaptive hp Finite Element Methods
• A Parallel Implementation of the p-Version of the Finite Element Method

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