On the accuracy of the mortar finite volume element method with Lagrange multipliers

DOI10.1016/J.AMC.2006.05.142zbMath1120.65123OpenAlexW2061601676MaRDI QIDQ865600

Yufei Cao, Hong-Xing Rui

Publication date: 19 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.142

zbMATH Keywords

error estimatesuniform convergenceelliptic boundary value problemminimal regularitymortar finite volume element (MFVE) method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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)

Cites Work

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• On the finite volume element method
• The mortar finite volume method with the Crouzeix--Raviart element for elliptic problems
• A hierarchical preconditioner for the mortar finite element method
• The mortar finite element method with Lagrange multipliers
• Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems
• The mortar element method for three dimensional finite elements
• Some Error Estimates for the Box Method
• Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
• On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems
• A general mixed covolume framework for constructing conservative schemes for elliptic problems
• Mixed Finite Element Methods on Nonmatching Multiblock Grids
• On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
• Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions
• Multigrid for the Mortar Finite Element Method
• The mortar element method for nonselfadjoint parabolic problem

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