Exact nonreflecting boundary condition for elastic waves

被引：58

作者：

Grote, MJ ^{[1
]}

Keller, JB

机构：

[1] Swiss Fed Inst Technol, Dept Math, CH-8092 Zurich, Switzerland

[2] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[3] Stanford Univ, Dept Mech Engn, Stanford, CA 94305 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2000年 / 60卷 / 03期

关键词：

elastic waves; wave propagation; nonreflecting boundary conditions; absorbing boundary conditions; scattering theory;

D O I：

10.1137/S0036139998344222

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An exact nonreflecting boundary condition is derived for the time-dependent elastic wave equation in three space dimensions. This condition holds on a spherical surface B, outside of which the medium is assumed to be linear, homogeneous, isotropic, and source-free. It is local in time, nonlocal on B, and involves only first derivatives of the solution. Therefore it can be combined easily with any numerical method in the interior region.

引用

页码：803 / 819

页数：17

共 30 条

[1]

Achenbach J., 1973, WAVE PROPAGATION ELA

[2] RADIATION BOUNDARY-CONDITIONS FOR WAVE-LIKE EQUATIONS [J].

BAYLISS, A ;

TURKEL, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (06) :707-725

[3] A PERFECTLY MATCHED LAYER FOR THE ABSORPTION OF ELECTROMAGNETIC-WAVES [J].

BERENGER, JP .

JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (02) :185-200

[4] ABSORBING BOUNDARY-CONDITIONS FOR WAVE-EQUATION MIGRATION [J].

CLAYTON, RW ;

ENGQUIST, B .

GEOPHYSICS, 1980, 45 (05) :895-904

[5]

Colton D., 2019, Inverse Acoustic and Electromagnetic Scattering, V93

[6] Fast discrete polynomial transforms with applications to data analysis for distance transitive graphs [J].

Driscoll, JR ;

Healy, DM ;

Rockmore, DN .

SIAM JOURNAL ON COMPUTING, 1997, 26 (04) :1066-1099

[7]

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

[8] 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

[9] NONREFLECTING BOUNDARY-CONDITIONS BASED ON KIRCHHOFF-TYPE FORMULAS [J].

GIVOLI, D ;

COHEN, D .

JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 117 (01) :102-113

[10] NONREFLECTING BOUNDARY-CONDITIONS FOR ELASTIC-WAVES [J].

GIVOLI, D ;

KELLER, JB .

WAVE MOTION, 1990, 12 (03) :261-279

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