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

[41] Application of the Neumann Boundary Conditions to One and Two Dimensional Analytical Solution of Wave Equation
Mello, S. G.
Benetti, C.
Santiago, A. G.
XXVII BRAZILIAN CONGRESS ON BIOMEDICAL ENGINEERING, CBEB 2020, 2022, : 1755 - 1760
[42] Implementation of One and Two Dimensional Analytical Solution of the Wave Equation: Dirichlet Boundary Conditions
Mello, S. G.
Benetti, C.
Santiago, A. G.
XXVII BRAZILIAN CONGRESS ON BIOMEDICAL ENGINEERING, CBEB 2020, 2022, : 1747 - 1753
[43] Boundary conditions for two-dimensional integrable chains
Gurel, B
Habibullin, I
PHYSICS LETTERS A, 1997, 233 (1-2) : 68 - 72
[44] Solving a Two-Dimensional Nonlinear Heat Conduction Equation with Nonzero Boundary Conditions by the Boundary Element Method
Spevak, L. F.
Nefedova, O. A.
MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2017), 2017, 1915
[45] Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions
Heydari, M. H.
Hooshmandasl, M. R.
Ghaini, F. M. Maalek
Fereidouni, F.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2013, 37 (11) : 1331 - 1338
[46] Solution of the two-dimensional wave equation by using wave polynomials
Artur Macig
Jörg Wauer
Journal of Engineering Mathematics, 2005, 51 : 339 - 350
[47] Solution of the two-dimensional wave equation by using wave polynomials
Maciag, A
Wauer, J
JOURNAL OF ENGINEERING MATHEMATICS, 2005, 51 (04) : 339 - 350
[48] A problem with free boundary for a two-dimensional parabolic equation
Ivanchov M.I.
Journal of Mathematical Sciences, 2012, 183 (1) : 17 - 28
[49] The asymptotics of the two-dimensional wave equation for a general multi-connected vibrating membrane with piecewise smooth Robin boundary conditions
Zayed, EME
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2004, 20 (02) : 209 - 222
[50] The Asymptotics of the Two-Dimensional Wave Equation for a General Multi-Connected Vibrating Membrane with Piecewise Smooth Robin Boundary Conditions
E.M.E.ZAYED
ActaMathematicaSinica(EnglishSeries), 2004, 20 (02) : 209 - 222

← 1 2 3 4 5 →