High-frequency asymptotics for the modified Helmholtz equation in a half-plane

被引：0
|
作者：
Huang, Min-Hai [1 ]
机构：
[1] Zhaoqing Univ, Coll Math & Informat Sci, Zhaoqing 526061, Guangdong, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2014年
基金：
中国国家自然科学基金;
关键词：
high-frequency asymptotics; Fokas' transform method; method of steepest descents; modified Helmholtz equation; Dirichlet boundary value problem; BOUNDARY-ELEMENT METHOD; NUMERICAL-SOLUTION; CONVEX POLYGONS; SCATTERING;
D O I：
10.1186/1687-2770-2014-45
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the integral representations of the solution derived via Fokas' transform method, the high-frequency asymptotics for the solution of the modified Helmholtz equation, in a half-plane and subject to the Dirichlet condition, is discussed. For the case of piecewise constant boundary data, full asymptotic expansions of the solution are obtained by using Watson's lemma and the method of steepest descents for definite integrals.
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页数：6
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