NUMERICAL-SOLUTION OF A FREE-BOUNDARY PROBLEM BY CONTINUATION

被引：2

作者：

SLOAN, DM ^{[1
]}

机构：

[1] UNIV STRATHCLYDE, DEPT MATH, GLASGOW G1 1XH, SCOTLAND

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1986年 / 14卷 / 03期

关键词：

COMPUTER PROGRAMMING - Algorithms - MATERIALS - Machining;

D O I：

10.1016/0377-0427(86)90066-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An algorithm is described for the numerical solution of a free boundary problem using continuation. The problem considered is a quasi-steady problem arising in electrochemical machining. The domain of the problem is mapped onto a square and the governing nonlinear equations are discretized using finite differences. A Newton-like iteration is employed for the solution of the nonlinear algebraic system and global convergence is achieved by means of continuation. Numerical results are included.

引用

页码：279 / 288

页数：10

共 10 条

[1]

ALBRECHT J, 1982, NUMERICAL TREATMENT

[2] SIMPLICIAL AND CONTINUATION METHODS FOR APPROXIMATING FIXED-POINTS AND SOLUTIONS TO SYSTEMS OF EQUATIONS [J].