CONVERGENCE OF NONCONFORMING FINITE-ELEMENT APPROXIMATIONS TO 1ST-ORDER LINEAR HYPERBOLIC-EQUATIONS

被引:1
作者
WALKINGTON, NJ
机构
关键词
D O I
10.2307/2153208
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Finite element approximations of the first-order hyperbolic equation U.del-u + alpha-u = f are considered on curved domains OMEGA subset-of R2. When part of the boundary of OMEGA is characteristic, the boundary of numerical domain, OMEGA(h), may become either an inflow or outflow boundary, so it is necessary to select an algorithm that will accommodate this ambiguity. This problem was motivated by a problem in acoustics, where an equation similar to the one above is coupled to three elliptic equations. In the last section, the acoustics problem is briefly recalled and our results for the first-order equation are used to demonstrate convergence of finite element approximations of the acoustics problem.
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页码:671 / 691
页数:21
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