On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator

DOI10.1051/cocv/2020072zbMath1460.35183arXiv2008.08103OpenAlexW3093888380MaRDI QIDQ5854411

Jianliang Qian, Shingyu Leung, Hao Liu, Roland Glowinski

Publication date: 17 March 2021

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

Full work available at URL: https://arxiv.org/abs/2008.08103

zbMATH Keywords

nonlinear eigenvalue problemsMonge-Ampère equationfinite element approximationsoperator-splitting methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Monge-Ampère equations (35J96)

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Cites Work

• Unnamed Item
• Generalized derivatives and nonsmooth optimization, a finite dimensional tour (with comments and rejoinder)
• Two remarks on Monge-Ampère equations
• A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation
• A finite element/operator-splitting method for the numerical solution of the three dimensional Monge-Ampère equation
• The eigenvalue problem for the Monge-Ampère operator on general bounded convex domains

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