Numerical performance of parallel group explicit solvers for the solution of fourth order elliptic equations

DOI10.1016/j.amc.2010.08.009zbMath1202.65137OpenAlexW1975703763MaRDI QIDQ606846

Khoo Kok Teong, Norhashidah Hj. Mohd. Ali

Publication date: 18 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.009

zbMATH Keywords

finite difference methodnumerical examplesbiharmonic equationparallel implementationmessage passing interfacelarge sparse systemscomputational complexitiesfourth order elliptic PDEgroup explicit methods

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06) Complexity and performance of numerical algorithms (65Y20) Numerical computation of matrix exponential and similar matrix functions (65F60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A high-performance, portable implementation of the MPI message passing interface standard
• Group accelerated overrelaxation methods on rotated grid
• Explicit group over-relaxation methods for solving elliptic partial differential equations
• High precision solutions of two fourth order eigenvalue problems
• The implementation of the explicit block iterative methods on the Balance 8000 parallel computer
• A numerical investigation of the solution of a class of fourth–order eigenvalue problems
• Group explicit methods for parabolic equations
• A new explicit method for the solution of
• A comparative study of explicit group iterative solvers on a cluster of workstations
• The four point explicit decoupled group (EDG) Method: a fast poisson solver
• EXPLICIT DE-COUPLED GROUP ITERATIVE METHODS AND THEIR PARALLEL IMPLEMENTATIONS
• The numerical solution of a coupled system of elliptic equations using the age fractional scheme
• The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by finite Differences. I

This page was built for publication: Numerical performance of parallel group explicit solvers for the solution of fourth order elliptic equations