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Convergent Two-Scale Filtered Scheme for the Monge--Ampère Equation

Authors :
Dimitrios Ntogkas
Ricardo H. Nochetto
Source :
SIAM Journal on Scientific Computing. 41:B295-B319
Publication Year :
2019
Publisher :
Society for Industrial & Applied Mathematics (SIAM), 2019.

Abstract

We propose an extension to our monotone and convergent method for the Monge--Ampere equation in dimension $d \geq2$ that incorporates the idea of filtered schemes. The method combines our original ...

Subjects

Subjects :
Scale (ratio)
Mathematics::Complex Variables
Applied Mathematics
Mathematics::Analysis of PDEs
Monge–Ampère equation
Extension (predicate logic)
Computational Mathematics
Monotone polygon
Dimension (vector space)
Scheme (mathematics)
Convergence (routing)
Applied mathematics
Viscosity solution
Mathematics

Details

ISSN :
10957197 and 10648275
Volume :
41
Database :
OpenAIRE
Journal :
SIAM Journal on Scientific Computing
Accession number :
edsair.doi...........198421505b5e788ac02e0b1890a591d3

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Authors Abstract Subjects Details