Finite Element Approximation of the Parabolic Fractional Obstacle Problem

DOI10.1137/15M1029801zbMath1349.65473arXiv1507.01985OpenAlexW2964152675MaRDI QIDQ2817784

Enrique Otárola, Abner J. Salgado

Publication date: 2 September 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01985

zbMATH Keywords

finite elementsobstacle problemanisotropic elementsfractional diffusionfree boundariesthin obstacles

Mathematics Subject Classification ID

Newton-type methods (49M15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) Discrete approximations in optimal control (49M25) Numerical methods of relaxation type (49M20) Fractional partial differential equations (35R11)

Related Items (10)

A convergence analysis of semi-discrete and fully-discrete nonconforming FEM for the parabolic obstacle problem ⋮ Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems ⋮ Numerical methods for fractional diffusion ⋮ Convergence analysis of finite element method for a parabolic obstacle problem ⋮ A mesh-free pseudospectral approach to estimating the fractional Laplacian via radial basis functions ⋮ Unified error analysis of discontinuous Galerkin methods for parabolic obstacle problem. ⋮ Crouzeix-Raviart finite element approximation for the parabolic obstacle problem ⋮ Space-time adaptive finite elements for nonlocal parabolic variational inequalities ⋮ Conforming and discontinuous Galerkin FEM in space for solving parabolic obstacle problem ⋮ A computational method for solving variable-order fractional nonlinear diffusion-wave equation

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