A quasi Trefftz-type spectral method for initial value problems with moving boundaries

被引：9

作者：

Lifits, SA ^{[1
]}

Reutskiy, SY ^{[1
]}

Tirozzi, B ^{[1
]}

机构：

[1] UNIV ROMA LA SAPIENZA,DEPT MATH,I-00185 ROME,ITALY

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1997年 / 7卷 / 03期

关键词：

D O I：

10.1142/S0218202597000220

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A quasi Trefftz-type spectral method is a new technique for numerical solving boundary value and initial value problems in domains with complex geometry. QTSM combines the properties of the boundary methods with the spectral approach. In the present paper QTSM is applied to the problems with moving boundaries. The problems with a known boundary motion law as well as the Stefan problems are considered. The method is tested on several one- and two-dimensional problems with exact analytic solution. A high accuracy of the calculations is achieved.

引用

页码：385 / 404

页数：20

共 22 条

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