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
收藏
页码：1285 / 1295
页数：11
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