Analysis and approximation of a nonlocal obstacle problem
type: Item
instance of: scholarly article
title: Analysis and approximation of a nonlocal obstacle problem
zbMATH Open document ID: 1353.65064
author: Qingguang Guan
author: Max Gunzburger
published in: Journal of Computational and Applied Mathematics
publication date: 2016-11-22T00:00:00Z
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6655193
zbMATH Keywords: obstacle problems
zbMATH Keywords: nonlocal variational inequality
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: discontinuous
zbMATH Keywords: well-posedness
zbMATH Keywords: finite element methods
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiment
MaRDI profile type: Publication
full work available at URL: j.cam.2016.09.012
OpenAlex ID: W2521083551
cites work: Q3511010
cites work: Q3994823
cites work: The obstacle problem revisited
cites work: Q5189317
cites work: Error estimates for the finite element solution of variational inequalities. Part I. primal theory
cites work: ADAPTIVE FINITE ELEMENT METHODS FOR THE OBSTACLE PROBLEM
cites work: Convergence analysis of a conforming adaptive finite element method for an obstacle problem
cites work: Regularity of solutions to the parabolic fractional obstacle problem
cites work: Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: Interior regularity for regional fractional Laplacian
cites work: Nonlinear elliptic systems involving the fractional Laplacian in the unit ball and on a half space
cites work: Reformulation of elasticity theory for discontinuities and long-range forces
cites work: Linearized theory of peridynamic states
cites work: The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
cites work: Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
cites work: A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
cites work: Analysis of the volume-constrained peridynamic Navier equation of linear elasticity
cites work: Asymptotically compatible schemes and applications to robust discretization of nonlocal models
cites work: Lévy Processes and Stochastic Calculus
cites work: Variational problems with free boundaries for the fractional Laplacian
cites work: Analysis of a scalar nonlocal peridynamic model with a sign changing kernel
cites work: Hitchhiker's guide to the fractional Sobolev spaces
DOI: 10.1016/J.CAM.2016.09.012
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description: scientific article; zbMATH DE number 6655193