Convergence rates for the classical, thin and fractional elliptic obstacle problems

DOI10.1098/rsta.2014.0449zbMath1353.65065arXiv1410.2184OpenAlexW1841074879WikidataQ38564189 ScholiaQ38564189MaRDI QIDQ2955802

Abner J. Salgado, Enrique Otárola, Ricardo H. Nochetto

Publication date: 13 January 2017

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2184

Mathematics Subject Classification ID

Numerical methods for variational inequalities and related problems (65K15) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (9)

A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate ⋮ $hp$-Finite Elements for Fractional Diffusion ⋮ On a class of nonlocal obstacle type problems related to the distributional Riesz fractional derivative ⋮ Numerical analysis of strongly nonlinear PDEs ⋮ Numerical methods for fractional diffusion ⋮ Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics ⋮ Finite element error estimates in \(L^2\) for regularized discrete approximations to the obstacle problem ⋮ Finite Element Approximation of the Parabolic Fractional Obstacle Problem ⋮ A two level algorithm for an obstacle problem

Cites Work

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• Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications
• Error estimates for the finite element solution of variational inequalities. Part I. primal theory
• Residual type a posteriori error estimates for elliptic obstacle problems
• A PDE approach to fractional diffusion in general domains: a priori error analysis
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Maximum principle and uniform convergence for the finite element method
• Optimal regularity of lower dimensional obstacle problems
• Multigrid Methods for Elliptic Obstacle Problems on 2D Bisection Grids
• On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*
• Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
• An Improved a Priori Error Analysis for Finite Element Approximations of Signorini's Problem
• The Two-Phase Fractional Obstacle Problem
• Error estimates on anisotropic ${\mathcal Q}_1$ elements for functions in weighted Sobolev spaces
• An Extension Problem Related to the Fractional Laplacian

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