Mixing finite elements and finite differences in nonlinear Schwarz iterations for nonlinear elliptic pdes

DOI10.1007/S10598-022-09558-XzbMath1501.65099OpenAlexW4289928227WikidataQ114226986 ScholiaQ114226986MaRDI QIDQ2096012

Qais Al Farei, Messaoud Boulbrachene

Publication date: 16 November 2022

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-022-09558-x

zbMATH Keywords

finite elementsfinite differencesnonlinear elliptic PDEsnonlinear Schwarz iterations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

Finite element analysis of the two-competing-species Keller-Segel chemotaxis model

Cites Work

• Maximum norm error analysis of a nonmatching grids finite element method for linear elliptic PDEs
• Maximum norm analysis of a nonmatching grids method for nonlinear elliptic PDEs
• Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions
• Maximum norm analysis of an arbitrary number of nonmatching grids method for nonlinears elliptic PDEs
• On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs
• Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
• Discrete maximum principle for finite-difference operators
• Maximum principle and uniform convergence for the finite element method
• Maximum norm analysis of a nonmatching grids method for a class of variational inequalities with nonlinear source terms
• On Schwarz Alternating Methods for Nonlinear Elliptic PDEs
• A posteriori error estimates for the generalized Schwarz method of a new class of advection‐diffusion equation with mixed boundary condition
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Mixing finite elements and finite differences in nonlinear Schwarz iterations for nonlinear elliptic pdes