Unified analysis of discontinuous Galerkin methods for frictional contact problem with normal compliance
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Publication:6175246
DOI10.1016/j.cam.2023.115350arXiv2104.08266OpenAlexW3152732810MaRDI QIDQ6175246
Publication date: 21 July 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.08266
variational inequalitiesdiscontinuous Galerkin methodsa posteriori error analysisnormal compliancefrictional contact problemmedius analysis
Special kinds of problems in solid mechanics (74Mxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Cites Work
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- Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity
- Adaptive finite elements for a certain class of variational inequalities of second kind
- Another view for a posteriori error estimates for variational inequalities of the second kind
- A posteriori error estimates for discontinuous Galerkin methods of obstacle problems
- A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem
- Mathematical aspects of discontinuous Galerkin methods.
- Isogeometric contact analysis: geometric basis and formulation for frictionless contact
- Recovery-based error estimation and adaptive solution of elliptic variational inequalities of the second kind
- A posteriori error analysis for the normal compliance problem
- Frictional contact problems with normal compliance
- A posteriori error estimation and adaptive mesh-refinement techniques
- Isogeometric frictionless contact analysis with the third medium method
- A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind
- Isogeometric collocation: Neumann boundary conditions and contact
- Error estimates for an LDG method applied to Signorini type problems
- Biorthogonal basis functions in \(hp\)-adaptive FEM for elliptic obstacle problems
- A posteriori error control of \(hp\)-finite elements for variational inequalities of the first and second kind
- A posteriori discontinuous Galerkin error estimator for linear elasticity
- A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality
- Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methods
- A strong form meshfree collocation method for frictional contact on a rigid obstacle
- A priori error estimation of \(hp\)-finite element approximations of frictional contact problems with normal compliance
- Estimation of penalty parameters for symmetric interior penalty Galerkin methods
- A posteriori error analysis for finite element solutions of a frictional contact problem
- A posteriori error estimates of \(hp\)-adaptive IPDG-FEM for elliptic obstacle problems
- Isogeometric collocation for large deformation elasticity and frictional contact problems
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- A C 0 interior penalty method for a fourth-order variational inequality of the second kind
- A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems
- A large deformation frictional contact formulation using NURBS-based isogeometric analysis
- Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
- Discontinuous Galerkin methods for solving the Signorini problem
- A new error analysis for discontinuous finite element methods for linear elliptic problems
- A quasistatic frictional problem with normal compliance
- On friction problems with normal compliance
- Residuala posteriori error estimators for contact problems in elasticity
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Convergence of nonconforming multigrid methods without full elliptic regularity
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Analysis and numerical approximation of an elastic frictional contact problem with normal compliance
- An Introduction to Variational Inequalities and Their Applications
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Reliable and efficient a posteriori error estimates of DG methods for a frictional contact problem
- On the numerical approximation of a frictional contact problem with normal compliance
- Nonconforming Finite Element Analysis for a Plate Contact Problem
- Korn's inequalities for piecewise $H^1$ vector fields
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Two-level additive Schwarz preconditioners for nonconforming finite element methods
- Isogeometric contact: a review
- A Strong Form Meshfree Collocation Method: Engineering Applications Including Frictional Contact
- A Remark on the A Posteriori Error Analysis of Discontinuous Galerkin Methods for the Obstacle Problem
- The Mathematical Theory of Finite Element Methods
- Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems
