The Nitsche mortar method for matching grids in a mixed finite element method

DOI10.3103/S1066369X10040031zbMath1198.65230OpenAlexW1973002557MaRDI QIDQ1956600

L. V. Maslovskaya, O. M. Maslovskaya

Publication date: 23 September 2010

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x10040031

zbMATH Keywords

convergencePoisson equationmixed finite element methodpenalty methodsinterface matchingHermann-Johnson schememortar method for grid matching

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

• The penalty method for grid matching in mixed finite element methods
• Approximation des problèmes aux limites non homogènes et régularité de la convergence
• Error-bounds for finite element method
• Analysis of Mixed Methods Using Mesh Dependent Norms
• A finite element method for domain decomposition with non-matching grids
• Domain Decomposition with Nonmatching Grids: Augmented Lagrangian Approach
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