Some new residual-based a posteriori error estimators for the mortar finite element methods

DOI10.1007/s00211-011-0413-0zbMath1237.65117OpenAlexW2067924060MaRDI QIDQ664534

Xuejun Xu, Feng Wang

Publication date: 2 March 2012

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-011-0413-0

zbMATH Keywords

reliabilitydiscontinuous coefficientsnumerical experimentsa posteriori error estimatorssecond order elliptic equationsmortar finite element

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05)

Uses Software

• AFEM@matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems
• A new a posteriori error estimate for the Morley element
• Mortar finite element discretization for the flow in a nonhomogeneous porous medium
• Adaptive finite element methods for elliptic equations with non-smooth coefficients
• A posteriori error estimates for nonconforming finite element methods
• The mortar element method with locally nonconforming elements
• A residual based error-estimator for mortar finite element discretizations
• A unifying theory of a posteriori error control for nonconforming finite element methods
• An a posteriori error estimator for two-body contact problems on non-matching meshes
• Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
• Error indicators for the mortar finite element discretization of the Laplace equation
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements
• A Posteriori Error Estimation for Lowest Order Raviart–Thomas Mixed Finite Elements
• On the Angle Condition in the Finite Element Method
• Hierarchical A Posteriori Error Estimators for Mortar Finite Element Methods with Lagrange Multipliers
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• A Local A Posteriori Error Estimator Based on Equilibrated Fluxes
• On the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
• Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems
• Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements
• Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation
• A Posteriori Error Estimates for the Mortar Mixed Finite Element Method
• Multigrid for the mortar element method for P1 nonconforming element

This page was built for publication: Some new residual-based a posteriori error estimators for the mortar finite element methods