AN ALTERNATING DIRECTION GALERKIN METHOD FOR A CLASS OF 2ND-ORDER HYPERBOLIC-EQUATIONS IN 2 SPACE VARIABLES

被引：31

作者：

FERNANDES, RI

FAIRWEATHER, G

机构：

[1] Univ of Kentucky, Lexington, KY

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 05期

关键词：

2ND-ORDER HYPERBOLIC EQUATIONS; WAVE EQUATION; GALERKIN APPROXIMATION; ALTERNATING DIRECTION IMPLICIT METHOD;

D O I：

10.1137/0728067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new alternating-direction implicit (ADI) Galerkin method is devised and analyzed for solving a certain class of second-order hyperbolic initial-boundary value problems in two space variables. This class includes the wave equation in Cartesian coordinates, polar coordinates, and cylindrical coordinates with radial symmetry. Optimal a priori H0(1)- and L2-error estimates are derived.

引用

页码：1265 / 1281

页数：17

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