Meshless numerical analysis of partial differential equations with nonlinear inequality constraints

Advances in Difference Equations

Xiaolin Li¹  Mei Chen¹ 

[1] College of Mathematics Science, Chongqing Normal University, Chongqing, P.R. China

关键词: meshless method;    elliptic boundary value problem;    nonlinear;    inequality;   

DOI  :  10.1186/s13662-015-0514-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A meshless method for the numerical solution of partial differential equations with nonlinear inequality constraints is discussed in this paper. The original nonlinear inequality problem is linearized as a sequence of linear equality problems, and then discrete linear system of algebraic equations is formed. This meshless method only requires nodes on the boundary of the domain, and it does not require any numerical integrations. Numerical experiments indicate that this method is very effective for nonlinear inequality problems and has good convergence rate and high computational efficiency.

【 授权许可】

CC BY