2ND-ORDER ABSORBING BOUNDARY-CONDITIONS FOR THE WAVE-EQUATION - A SOLUTION FOR THE CORNER PROBLEM

被引：65

作者：

BAMBERGER, A

JOLY, P

ROBERTS, JE

机构：

[1] ECOLE POLYTECH,CTR MATH APPL,F-91128 PALAISEAU,FRANCE

[2] INST NATL RECH INFORMAT & AUTOMAT,F-78153 LE CHESNAY,FRANCE

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1990年 / 27卷 / 02期

关键词：

Absorbing Boundary Conditions - Partial Differential Equations - Wave Equations;

D O I：

10.1137/0727021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The treatment of domains with corners in the problem of absorbing boundary conditions for the wave equation is very important from a practical point of view. A technical difficulty appears as soon as conditions of order greater than or equal to 2 are considered. A solution is proposed for the two-dimensional case when second-order conditions are used. This solution consists of prescribing an adequate corner condition. The problem thus obtained is analyzed theoretically and the condition is proved to be optimal. The results obtained here are illustrated by numerical simulations. Some extensions to higher-space dimensions and higher-order conditions are proposed.

引用

页码：323 / 352

页数：30

共 15 条

[1]

BAMERGER A, 644 I NAT RECH INF A

[2]

COURANT R, 1962, METHODS MATH PHYSICS, V2

[3]

Dautray R., 1985, ANAL MATH CALCUL NUM

[4]

ENGQUIST B, 1977, MATH COMPUT, V31, P629, DOI 10.1090/S0025-5718-1977-0436612-4

[5] RADIATION BOUNDARY-CONDITIONS FOR ACOUSTIC AND ELASTIC WAVE CALCULATIONS [J].

ENGQUIST, B ;

MAJDA, A .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1979, 32 (03) :313-357

[6]

HIGDON RL, 1987, MATH COMPUT, V49, P65, DOI 10.1090/S0025-5718-1987-0890254-1

[7]

HIGDON RL, 1986, MATH COMPUT, V47, P438

[8] INITIAL BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC SYSTEMS [J].

KREISS, HO .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1970, 23 (03) :277-&

[9]

KUPKA IAK, 1979, COMMUN PUR APPL MATH, V24, P381

[10]

Lemrabet K., 1987, THESIS U SCI TECHNOL

← 1 2 →