Paper Info
Title
Convergent Two-Scale Filtered Scheme for the Monge-Ampère Equation.
Abstract
We propose an extension to our monotone and convergent method for the Monge-Ampere equation in dimension d >= 2 that incorporates the idea of filtered schemes. The method combines our original monotone operator with a more accurate nonmonotone modification, using an appropriately chosen filter. This results in a remarkable improvement of accuracy, but without sacrificing the convergence to the unique viscosity solution.
Year
DOI
Venue
2019
10.1137/18M1191634
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
DocType
Volume
Monge-Ampere equation,filtered scheme,monotone,viscosity solution,convergence,accurate
Journal
41
Issue
ISSN
Citations 
2
1064-8275
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Ricardo H. Nochetto1907110.08
Dimitrios Ntogkas200.34