A cascadic multigrid algorithm for variational inequalities

DOI10.1007/s00791-004-0134-3zbMath1070.65046OpenAlexW2048723246MaRDI QIDQ1780881

Dietrich Braess, Heribert Blum, Franz-Theo Suttmeier

Publication date: 14 June 2005

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-004-0134-3

zbMATH Keywords

algorithmvariational inequalitiesSignorini problemnumerical examplesconjugate gradient methodobstacle problemcascadic multigrid method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Contact in solid mechanics (74M15) Decomposition methods (49M27)

Related Items

A modulus-based cascadic multigrid method for elliptic variational inequality problems, Mesh and model adaptivity for frictional contact problems, On the convergence of an extrapolation cascadic multigrid method for elliptic problems, A cascadic multigrid method for a kind of semilinear elliptic problem, Scalable TFETI algorithm for the solution of multibody contact problems of elasticity, Finite elements in space and time for dynamic contact problems, Matrix-free multigrid solvers for phase-field fracture problems, On multigrid for anisotropic equations and variational inequalities ``pricing multi-dimensional European and American options, Cascadic multigrid methods for parabolic problems, NCP Function--Based Dual Weighted Residual Error Estimators for Signorini's Problem, Semi-smooth Newton methods for mixed FEM discretizations of higher-order for frictional, elasto-plastic two-body contact problems, Contraction behaviour of iteration–discretization based on gradient type projections, Modified conditions for minimum of compliance

Cites Work

• A subspace cascadic multigrid method for mortar elements
• On multi-grid methods for variational inequalities
• Monotone multigrid methods for elliptic variational inequalities. I
• The cascadic multigrid method for elliptic problems
• An adaptive finite element discretisation for a simplified Signorini problem
• Nonconforming finite elements and the cascadic multi-grid method
• Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination
• On multigrid for anisotropic equations and variational inequalities ``pricing multi-dimensional European and American options
• Multigrid Algorithms for the Solution of Linear Complementarity Problems Arising from Free Boundary Problems
• Adaptive Multilevel Methods for Obstacle Problems
• Adaptive multigrid methods for Signorini's problem in linear elasticity.
• Unnamed Item
• Unnamed Item
• Unnamed Item