Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements

DOI10.1080/00207160701458252zbMath1122.65084OpenAlexW2034646307MaRDI QIDQ3595048

Tao Lü, Xiaoming He

Publication date: 10 August 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701458252

zbMATH Keywords

numerical resultsfinite elementsdomain decompositionparallel algorithma posteriori error estimatesplitting extrapolation\(d\)-quadratic isoparametric mappingsecond-order parabolic differential equations

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (6)

Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind ⋮ Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy's equation on polygons by mechanical quadrature methods ⋮ Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods ⋮ Mechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equation ⋮ An algorithm using the finite volume element method and its splitting extrapolation ⋮ A splitting extrapolation for solving nonlinear elliptic equations with \(d\)-quadratic finite elements

Cites Work

• Unnamed Item
• Unnamed Item
• Splitting extrapolation for solving second order elliptic systems with curved boundary in \({\mathfrak R}^d\) by using \(d\)-quadratic isoparametric finite element
• Splitting extrapolation based on domain decomposition for finite element approximations
• The Splitting Extrapolation Method

This page was built for publication: Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements