STABLE MARCHING SCHEMES BASED ON ELLIPTIC MODELS OF WAVE-PROPAGATION

被引：13

作者：

KNIGHTLY, GH

STMARY, DF

机构：

[1] Center for Applied Mathematics and Mathematical Computation, Department of Mathematics, University of Massachusetts, Amhersi

来源：

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA | 1993年 / 93卷 / 04期

关键词：

D O I：

10.1121/1.406701

中图分类号：

O42 [声学];

学科分类号：

070206 [声学]; 082403 [水声工程];

摘要：

A marching numerical scheme is applied to a far-field elliptic model of underwater wave propagation. General stability conditions are derived for the scheme in the case of varying parameter functions. Several examples are presented to demonstrate the capacity of the method to detect backscattered energy. In these examples the elliptic equation is cast as an initial value problem with assumed correct initial data. The ill-posed nature of initial value problems for elliptic problems is discussed.

引用

页码：1866 / 1872

页数：7

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