A FULLY DISCRETE CALDERON CALCULUS FOR TWO DIMENSIONAL TIME HARMONIC WAVES

被引：0

作者：

Dominguez, Victor ^{[1
]}

Lu, Sijiang ^{[2
]}

Sayas, Francisco-Javier ^{[2
]}

机构：

[1] Univ Publ Navarra, Dept Ingn Matemat & Informat, Tudela 31500, Spain

[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2014年 / 11卷 / 02期

基金：

美国国家科学基金会;

关键词：

Calderon calculus; Boundary Element Methods; Dirac deltas distributions; Nystrom methods;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a fully discretized Calderon Calculus for the two dimensional Helmholtz equation. This full discretization can be understood as highly non-conforming Petrov-Galerkin methods, based on two staggered grids of mesh size h, Dirac delta distributions substituting acoustic charge densities and piecewise constant functions for approximating acoustic dipole densities. The resulting numerical schemes from this calculus are all of order h(2) provided that the continuous equations are well posed. We finish by presenting some numerical experiments illustrating the performance of this discrete calculus.

引用

页码：332 / 345

页数：14

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