Maximum norm analysis of a nonmatching grids method for nonlinear elliptic PDEs

DOI10.1155/2011/605140zbMath1235.65134OpenAlexW2165877445WikidataQ58690466 ScholiaQ58690466MaRDI QIDQ410805

Messaoud Boulbrachene, Abida Harbi

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/605140

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Elliptic equations and elliptic systems (35J99)

Related Items (3)

A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms ⋮ Maximum norm analysis of a nonmatching grids method for a class of variational inequalities with nonlinear source terms ⋮ Mixing finite elements and finite differences in nonlinear Schwarz iterations for nonlinear elliptic pdes

Cites Work

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• Maximum principle and uniform convergence for the finite element method
• On Monotone and Schwarz Alternating Methods for Nonlinear Elliptic PDEs
• Uniform Convergence of the Schwarz Alternating Method for Solving Singularly Perturbed Advection-Diffusion Equations
• Maximum Norm Analysis of Overlapping Nonmatching Grid Discretizations of Elliptic Equations
• Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids

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