Adaptive quadratic finite element method for the unilateral contact problem
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Publication:6111344
DOI10.1007/s10915-023-02206-5arXiv2209.04906OpenAlexW4378549032MaRDI QIDQ6111344
Tanvi Wadhawan, Rohit Khandelwal, Kamana Porwal
Publication date: 6 July 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.04906
Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Cites Work
- Adaptive finite elements for a certain class of variational inequalities of 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
- Recovery-based error estimation and adaptive solution of elliptic variational inequalities of the second kind
- Error estimates for the finite element solution of variational inequalities. Part I. primal theory
- A posteriori error estimation and adaptive mesh-refinement techniques
- Quadratic finite element methods for unilateral contact problems
- A reliable, efficient and localized error estimator for a discontinuous Galerkin method for the Signorini problem
- A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind
- Error estimates for an LDG method applied to Signorini type problems
- An abstract framework for a priori estimates for contact problems in 3D with quadratic finite elements
- A posteriori error control of \(hp\)-finite elements for variational inequalities of the first and second kind
- An efficient and reliable residual-type a posteriori error estimator for the Signorini problem
- Efficient implementation of adaptive P1-FEM in Matlab
- A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems
- A posteriori error estimations of residual type for Signorini's problem
- A posteriori error estimators for obstacle problems -- another look
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems
- A posteriori error estimator and error control for contact problems
- Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
- Discontinuous Galerkin methods for solving the Signorini problem
- A Coarsening Algorithm on Adaptive Grids by Newest Vertex Bisection and Its Applications
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- Residuala posteriori error estimators for contact problems in elasticity
- Error Estimates for the Approximation of a Class of Variational Inequalities
- Error estimates for the approximation of some unilateral problems
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Numerical Simulation of Some Variational Inequalities Arisen from Unilateral Contact Problems by the Finite Element Methods
- An Introduction to Variational Inequalities and Their Applications
- Quadratic finite element approximation of the Signorini problem
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Two-level additive Schwarz preconditioners for nonconforming finite element methods
- The Mathematical Theory of Finite Element Methods
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