Simultaneous directions parallel methods for elliptic and parabolic systems

DOI10.1016/j.crma.2004.05.007zbMath1050.65121OpenAlexW2042753562MaRDI QIDQ1876919

Enrique Fernández-Cara, José R. Galo Sánchez, Mercedes Marín Beltrán, M. Carmen Calzada Canalejo, Isidoro I. Albarreal Núñez, José Luis Cruz Soto

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.05.007

zbMATH Keywords

numerical experimentsparallel computationconvergence resultslinear second-order elliptic and parabolic equationssimultaneous directions methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (3)

Convergence and optimization of the parallel method of simultaneous directions for the solution of elliptic problems ⋮ A fictitious domain, parallel numerical method for rigid particulate flows ⋮ The smoothing effect of a simultaneous directions parallel method as applied to Poisson problems

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence and optimization of the parallel method of simultaneous directions for the solution of elliptic problems
• Convergence analysis and error estimates for a parallel algorithm for solving the Navier-Stokes equations
• A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations

This page was built for publication: Simultaneous directions parallel methods for elliptic and parabolic systems