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A note on the Monge--Ampère type equations with general source terms.
- Source :
- Mathematics of Computation; Nov2020, Vol. 89 Issue 326, p2675-2706, 32p
- Publication Year :
- 2020
-
Abstract
- In this paper we consider numerical approximation to the generalised solutions to the Monge-Ampère 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- MONGE-Ampere equations
EQUATIONS
TERMS & phrases
CONVEX domains
CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 00255718
- Volume :
- 89
- Issue :
- 326
- Database :
- Complementary Index
- Journal :
- Mathematics of Computation
- Publication Type :
- Academic Journal
- Accession number :
- 145198883
- Full Text :
- https://doi.org/10.1090/mcom/3554