Galerkin Alternating-Direction Methods for Nonrectangular Regions Using Patch Approximations

DOI10.1137/0718041zbMath0468.65059OpenAlexW2033071189MaRDI QIDQ3922115

Linda J. Hayes

Publication date: 1981

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0718041

zbMATH Keywords

error estimatesfinite elementsoptimal orderisoparametric elementsGalerkin alternating-directionpatch approximations

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (16)

Grid orthogonalization for curvilinear alternating-direction techniques ⋮ Boundary and interface conditions within a finite element preconditioner for spectral methods ⋮ Extended explicit pseudo two-step RKN methods for oscillatory systems \(y^{\prime\prime} + My = f(y)\) ⋮ A symmetric characteristic FVE method with second order accuracy for nonlinear convection diffusion problems ⋮ On the convergence of finite-difference schemes for parabolic equations with variable coefficients ⋮ Galerkin alternating-direction methods for a kind of nonlinear hyperbolic equations on nonrectangular regions ⋮ Finite element patch approximations and alternating-direction methods ⋮ Adapted Falkner-type methods solving oscillatory second-order differential equations ⋮ Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations ⋮ A symmetric characteristic finite volume element scheme for nonlinear convection-diffusion problems ⋮ Error analysis of explicit TSERKN methods for highly oscillatory systems ⋮ A family of improved Falkner-type methods for oscillatory systems ⋮ A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein-Gordon equations ⋮ Progress in computational physics ⋮ Alternating direction along flow lines in a fluid flow problem ⋮ Solution of two-phase flow problems in porous media via an alternating- direction finite element method

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