OPTIMIZATION APPROACH FOR THE MONGE-AMPERE EQUATION

被引：1

作者：

Ben Belgacem, Fethi ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Lab EDP LR03ES04, Tunis 1060, Tunisia

来源：

ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 04期

关键词：

elliptic Monge-Ampere equation; gradient conjugate method; finite element Galerkin method; NONLINEAR ELLIPTIC-EQUATIONS; DIRICHLET BOUNDARY-CONDITIONS; LEAST-SQUARES APPROACH; NUMERICAL-SOLUTION; 2ND-ORDER;

D O I：

10.1016/S0252-9602(18)30814-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce and study a method for the numerical solution of the elliptic Monge-Ampere equation with Dirichlet boundary conditions. We formulate the Monge-Ampere equation as an optimization problem. The latter involves a Poisson Problem which is solved by the finite element Galerkin method and the minimum is computed by the conjugate gradient algorithm. We also present some numerical experiments.

引用

页码：1285 / 1295

页数：11

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