Highly-accurate artificial boundary conditions for the two-dimensional wave equation

被引：0

作者：

Sofronov, IL ^{[1
]}

机构：

[1] Russian Acad Sci, Keldysh Inst Appl Math, Moscow 125047, Russia

来源：

COMPUTATIONAL FLUID DYNAMICS '98, VOL 1, PARTS 1 AND 2 | 1998年

关键词：

D O I：

暂无

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

For two-dimensional external wave problems, we generate exact far-field condition on a circular artificial boundary. The operator of the condition is non-local in both space and time. In order to reduce computational resources needed for its discrete counterpart, we propose a way to localise the computational formulae with respect to time.

引用

页码：654 / 659

页数：6

共 50 条

[21] Poisson approach for evaluating numerical methods for the two-dimensional wave equation constrained to absorbing boundary conditions
Oliveira, Jauber C.
Bazan, Fermin S. Viloche
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (02) : 273 - 284
[22] Exact Bounded Boundary Controllability to Rest for the Two-Dimensional Wave Equation
Romanov, Igor
Shamaev, Alexey
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021, 188 (03) : 925 - 938
[23] Local absorbing boundary conditions for two-dimensional nonlinear Schrodinger equation with wave operator on unbounded domain
Li, Hongwei
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (18) : 14382 - 14392
[24] Outflow boundary conditions for the Fourier transformed two-dimensional Vlasov equation
Eliasson, B
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 181 (01) : 98 - 125
[25] Absorbing boundary conditions for the two-dimensional Schrodinger equation with an exterior potential
Antoine, Xavier
Besse, Christophe
Klein, Pauline
[J]. NUMERISCHE MATHEMATIK, 2013, 125 (02) : 191 - 223
[26] Numerical solution of a two-dimensional Helmholtz equation with Dirichlet boundary conditions
Kahlaf, Saja J.
Mhassin, Ali A.
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (04) : 971 - 982
[27] Non-reflecting boundary conditions for the two-dimensional Schrodinger equation
Schädle, A
[J]. WAVE MOTION, 2002, 35 (02) : 181 - 188
[28] Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain
Brunner, Hermann
Han, Houde
Yin, Dongsheng
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 276 : 541 - 562
[29] ACCURATE ABSORBING BOUNDARY CONDITIONS FOR THE TWO-DIMENSIONAL NONLOCAL SCHRO"\DINGER EQUATIONS*
Pang, Gang
Ji, Songsong
Zhang, Jiwei
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2023, 45 (04): : A1656 - A1689
[30] Split Local Artificial Boundary Conditions for the Two-Dimensional Sine-Gordon Equation on R2
Han, Houde
Zhang, Zhiwen
[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2011, 10 (05) : 1161 - 1183

← 1 2 3 4 5 →