\(L^\infty\)-error estimates for the obstacle problem revisited

DOI10.1007/s10092-017-0228-1zbMath1393.65046OpenAlexW2732118183MaRDI QIDQ1697278

Constantin Christof

Publication date: 15 February 2018

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-017-0228-1

zbMATH Keywords

variational inequalityobstacle problema priori error analysislinear finite elements

Mathematics Subject Classification ID

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)

Related Items (5)

Numerical approximation of equations involving minimal/maximal operators by successive solution of obstacle problems ⋮ Weak discrete maximum principle of finite element methods in convex polyhedra ⋮ A note on a priori \(L^p\)-error estimates for the obstacle problem ⋮ Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Nonsmooth Lower Level ⋮ Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem

Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• Pointwise accuracy of a finite element method for nonlinear variational inequalities
• Sharp \(L^{\infty}\)-error estimates for semilinear elliptic problems with free boundaries
• A finite element approximation of a variational inequality related to hydraulics
• Error estimates for the finite element solution of variational inequalities. Part I. primal theory
• Elliptic partial differential equations of second order
• A note on a priori \(L^p\)-error estimates for the obstacle problem
• Discrete maximum principle for finite-difference operators
• On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*
• $L_\infty $-error estimates for variational inequalities with Hölder continuous obstacle
• A monotone finite element scheme for convection-diffusion equations
• An Introduction to Variational Inequalities and Their Applications
• One-sided approximation and variational inequalities
• Failure of the discrete maximum principle for an elliptic finite element problem
• A Priori Finite Element Error Analysis for Optimal Control of the Obstacle Problem
• The Mathematical Theory of Finite Element Methods
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