A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate
DOI10.1016/j.camwa.2016.11.037zbMath1369.65143arXiv1606.01020OpenAlexW2963318174MaRDI QIDQ2398446
Publication date: 16 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.01020
discretizationdual problemfinite element methodfree boundary problemcomputer implementationposteriori error analysis
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for variational inequalities and related problems (65K15)
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- Numerical solutions of a two-phase membrane problem
- Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements
- A posteriori estimates for partial differential equations
- Sharp \(L^{\infty}\)-error estimates for semilinear elliptic problems with free boundaries
- The obstacle problem revisited
- A posteriori error analysis via duality theory. With applications in modeling and numerical approximations.
- Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements
- A posteriori error estimates for two-phase obstacle problem
- Verification of functional a posteriori error estimates for obstacle problem in 1D
- Convergence rates for the classical, thin and fractional elliptic obstacle problems
- A Finite Difference Method for Two-Phase Parabolic Obstacle-like Problem
- Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method
- Error Estimates for the Approximation of a Class of Variational Inequalities
- An $L^1$ Penalty Method for General Obstacle Problems
- The Two-Phase Membrane Problem--Regularity of the Free Boundaries in Higher Dimensions
- An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary
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