Numerical solution of the Dirichlet problem for a Pucci equation in dimension two. Application to homogenization

DOI10.1515/JNUM.2008.009zbMath1155.65097MaRDI QIDQ3545268

Luis A. Caffarelli, Roland Glowinski

Publication date: 10 December 2008

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmsDirichlet problemnumerical experimentshomogenizationfinite elementnonlinear least squaresoperator-splitting techniquesFully nonlinear elliptic equationsPucci equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Approximate homogenization of fully nonlinear elliptic PDEs: estimates and numerical results for Pucci type equations ⋮ A least-squares method for the solution of the non-smooth prescribed Jacobian equation ⋮ An accelerated method for nonlinear elliptic PDE ⋮ Numerical Approximation of Orthogonal Maps ⋮ A penalty-regularization-operator splitting method for the numerical solution of a scalar eikonal equation ⋮ An Alternating Direction Method of Multipliers for the Numerical Solution of a Fully Nonlinear Partial Differential Equation Involving the Jacobian Determinant

Cites Work

• An approximate factorization/least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation
• On the numerical analysis of the Von Kármán equations: Mixed finite element approximation and continuation techniques
• Nonvariational elliptic systems
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media

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