A penalty/Newton/conjugate gradient method for the solution of obstacle problems

DOI10.1016/S1631-073X(03)00025-6zbMath1028.65073MaRDI QIDQ1408105

Tsorng-Whay Pan, Yuri A. Kuznetsov, Roland Glowinski

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

convergenceNewton's methodnumerical experimentsconjugate gradient algorithmparabolic variational inequalitypenaltynon-negative solutionssystem of eikonal equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15)

Related Items

Numerical methods for the solution of a system of eikonal equations with Dirichlet boundary conditions ⋮ Fully discrete finite element methods for two-dimensional Bingham flows ⋮ A penalty approximation method for a semilinear parabolic double obstacle problem ⋮ Numerical Approximation of Orthogonal Maps ⋮ A penalty-regularization-operator splitting method for the numerical solution of a scalar eikonal equation ⋮ On the numerical solution of some eikonal equations: an elliptic solver approach ⋮ A power penalty approach to a mixed quasilinear elliptic complementarity problem ⋮ A two-grids/projection algorithm for obstacle problems

Cites Work

• Numerical methods for the solution of a system of eikonal equations with Dirichlet boundary conditions
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