Multilevel projection algorithm for solving obstacle problems

DOI10.1016/S0898-1221(01)00115-8zbMath0985.65076MaRDI QIDQ5948803

Yongmin Zhang

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplefinite element methodfree boundary problemmultigrid methoderror estimateobstacle problemmultilevel projection method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15) Partial differential inequalities and systems of partial differential inequalities (35R45) Free boundary problems for PDEs (35R35)

Related Items (11)

An efficient primal-dual method for the obstacle problem ⋮ Analysis of an elastic–rigid obstacle problem described by a variational–hemivariational inequality ⋮ Generalized finite difference method for solving two-dimensional non-linear obstacle problems ⋮ An algorithm for solving the double obstacle problems ⋮ An algorithm for solving the obstacle problems ⋮ Some iterative algorithms for the obstacle problems ⋮ Galerkin least squares finite element method for the obstacle problem ⋮ A multigrid method for the Cahn-Hilliard equation with obstacle potential ⋮ PDE acceleration: a convergence rate analysis and applications to obstacle problems ⋮ Two-step modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems ⋮ Finite algorithms for the numerical solutions of a class of nonlinear complementarity problems

Cites Work

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• Numerical solution of the obstacle problem by the penalty method
• Error estimates for the finite element solution of variational inequalities. Part I. primal theory
• Two-sided approximations for unilateral variational inequalities by multi-grid methods
• L_∞-error estimate for the numerical treatment of the obstacle problem by the penalty method
• An Optimal Order Process for Solving Finite Element Equations
• Error Estimates for the Approximation of a Class of Variational Inequalities
• The Mathematics of Financial Derivatives
• Variational inequalities

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