A PRIORI ESTIMATES FOR MIXED FINITE-ELEMENT METHODS FOR THE WAVE-EQUATION

被引：76

作者：

COWSAR, LC

DUPONT, TF

WHEELER, MF

机构：

[1] UNIV CHICAGO,DEPT COMP SCI,CHICAGO,IL 60637

[2] RICE UNIV,DEPT MATH SCI,HOUSTON,TX 77251

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1990年 / 82卷 / 1-3期

关键词：

Mathematical Techniques;

D O I：

10.1016/0045-7825(90)90165-I

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper treats mixed methods for second order hyperbolic equations. The convergence of a mixed method continuous-time scheme for the hyperbolic problem is reduced to a question of convergence of the associated elliptic problem. Stability conditions are also derived for a conditionally stable explicit scheme. Numerical experiments are presented that verify the theoretical rates of convergence and compare two of the discrete schemes discussed. © 1990.

引用

页码：205 / 222

页数：18

共 17 条

[1]

Adams RA., 2003, PURE APPL MATH SOB O, V2

[2] MIXED FINITE-ELEMENT METHODS FOR ELLIPTIC PROBLEMS [J].