An alternating direction implicit algorithm for the solution of linear complementarity problems arising from free boundary problems

DOI10.1007/BF01442196zbMath0575.65119OpenAlexW2033798957MaRDI QIDQ1064037

B. George

Publication date: 1985

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01442196

zbMATH Keywords

comparison of methodsConvergencelinear complementarity problemsacceleration parametersADI algorithmalternating direction implicit algorithmjournal bearing problemPeaceman-Rachfordporous flow through a damSOR algorithms

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Boundary value problems for second-order elliptic equations (35J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

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• Solution of symmetric linear complementarity problems by iterative methods
• On the solution of large, structured linear complementarity problems: The tridiagonal case
• On the solution of large, structured linear complementarity problems: the block partitioned case
• On a problem of the theory of lubrication governed by a variational inequality
• Minkowski matrices.
• Alternating Direction Implicit Methods
• Relaxation Methods for Convex Problems
• The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation
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