Pointwise a posteriori error analysis of a finite element method for the Signorini problem
DOI10.1007/s10915-022-01811-0zbMath1492.65316OpenAlexW4220831564MaRDI QIDQ2147454
Rohit Khandelwal, Kamana Porwal
Publication date: 20 June 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01811-0
variational inequalitiesfinite element methodSignorini problema posteriori error estimatesmaximum normcontinuous contact force density
Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Smoothness and regularity of solutions to PDEs (35B65) Contact in solid mechanics (74M15) Linear elasticity with initial stresses (74B10) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)
Cites Work
- Unnamed Item
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- A posteriori error estimates for discontinuous Galerkin methods of obstacle problems
- A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem
- Lectures on numerical methods for non-linear variational problems
- A posteriori error estimation in finite element analysis
- Pointwise a posteriori error control for elliptic obstacle problems
- A reliable, efficient and localized error estimator for a discontinuous Galerkin method for the Signorini problem
- Estimates for Green's matrices of elliptic systems by \(L^ p\) theory
- Biorthogonal basis functions in \(hp\)-adaptive FEM for elliptic obstacle problems
- Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain
- An efficient and reliable residual-type a posteriori error estimator for the Signorini problem
- Pointwise a posteriori error estimates for monotone semi-linear equations
- A posteriori error estimates of \(hp\)-adaptive IPDG-FEM for elliptic obstacle problems
- The Green function estimates for strongly elliptic systems of second order
- A primal--dual active set strategy for nonlinear multibody contact problems
- A posteriori error estimators for obstacle problems -- another look
- Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems
- The Green Function for Elliptic Systems in Two Dimensions
- A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems
- A posteriori error estimator and error control for contact problems
- An Adaptive Finite Element Method for Two-Phase Stefan Problems in Two Space Dimensions. II: Implementation and Numerical Experiments
- A posteriorierror analysis for parabolic variational inequalities
- Green’s matrices of second order elliptic systems with measurable coefficients in two dimensional domains
- Pointwise a Posteriori Error Estimates for Elliptic Problems on Highly Graded Meshes
- A Posteriori Error Estimators for Regularized Total Variation of Characteristic Functions
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems
- Maximum Norm Error Estimators for Three-Dimensional Elliptic Problems
- Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems
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