Residual-Based A Posteriori Error Estimates for Symmetric Conforming Mixed Finite Elements for Linear Elasticity Problems
arXiv:1705.0410618 citationsh-index: 32
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Provides rigorous error estimation for a specific class of finite element methods in computational mechanics, but is incremental as it extends existing techniques to symmetric mixed formulations.
The paper proposes and analyzes residual-based a posteriori error estimators for symmetric conforming mixed finite elements in linear elasticity, proving their stability and efficiency with numerical verification.
A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems of Dirichlet and mixed boundary conditions are proposed. Stability and efficiency of the estimators are proved. Finally, we provide numerical examples to verify the theoretical results.