Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method
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Publication:3559145
DOI10.1137/070710378zbMath1195.65170arXiv0712.1241OpenAlexW2055752660MaRDI QIDQ3559145
Publication date: 11 May 2010
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.1241
convergencesingular perturbationviscosity solutionnumerical exampleslinearized problemmixed finite element methodvanishing moment methodMonge--Ampère equationfully nonlinear second order partial differential equationHermann-Miyoshi mixed elementmoment solutionquasilinear fourth order problem
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quasilinear elliptic equations (35J62) Monge-Ampère equations (35J96)
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