A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge − ampère equation in dimension two

DOI10.1051/cocv/2012033zbMath1272.65089OpenAlexW2032376813MaRDI QIDQ2842253

Alexandre Caboussat, Roland Glowinski, Danny C. Sorensen

Publication date: 13 August 2013

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2012033

zbMATH Keywords

convergence Dirichlet problem least-squares method mixed finite element methods numerical experiments conjugate gradient method biharmonic problem elliptic Monge-Ampère equation quadratic constraint minimization

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Monge-Ampère equations (35J96)

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