A NOTE ON THE MONGE–AMPÈRE TYPE EQUATIONS WITH GENERAL SOURCE TERMS

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)2675-2706
Journal / PublicationMathematics of Computation
Volume89
Issue number326
Online published19 Jun 2020
Publication statusPublished - Nov 2020

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85090226795&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(d0d55d2c-2c7f-40bf-95f9-af8aa3507c1a).html

Abstract

In this paper we consider numerical approximation to the generalised solutions to the Monge-Ampere type equations with general source terms. We first give some important propositions for the border of generalised solutions. Then, for both the classical and weak Dirichlet boundary conditions, we present well-posed numerical methods for the generalised solutions with general source terms. Finally, we prove that the numerical solutions converge to the generalised solution.

Research Area(s)

  • Convex domain, Convex function, Generalised solution, Monge-ampére equation, Oliker-prussner method, Subdifferential

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Publication fingerprints text

100
Source Term Mathematics
100
Generalized Solutio... Mathematics
100
Type Equation Mathematics
100
solutions INIS
100
equations INIS
100
source terms INIS
100
General Source Keyphrases
25
Numerical Methods Mathematics
25
Dirichlet Boundary ... Mathematics
25
Numerical Solution Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
A NOTE ON THE MONGE–AMPÈRE TYPE EQUATIONS WITH GENERAL SOURCE TERMS. / QIU, Weifeng; TANG, Lan.
In: Mathematics of Computation, Vol. 89, No. 326, 11.2020, p. 2675-2706.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review