Numerical solution of fully nonlinear elliptic equations by Bohmer's method

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:254

Article

Davydov, Oleg¹  Saeed, Abid¹ 

[1] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland

关键词: Fully nonlinear equations;    Bernstein-Bezier finite elements;    Bomer's method;   

DOI  :  10.1016/j.cam.2013.03.009

来源: Elsevier

【 摘 要 】

We present an implementation of Bohmer's finite element method for fully nonlinear elliptic partial differential equations on convex polygonal domains, based on a modified Argyris element and Bernstein-Bezier techniques. Our numerical experiments for several test problems, involving the classical Monge-Ampere equation and an unconditionally elliptic equation, confirm the convergence and error bounds predicted by Bohmer's theoretical results. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free