On the boundary conditions for EG methods applied to the two-dimensional wave equation system

M. Lukáčová-Medvid'ová; G. Warnecke; Y. Zahaykah

doi:10.1002/zamm.200310103

On the boundary conditions for EG methods applied to the two-dimensional wave equation system

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200310103 ◽

2004 ◽

Vol 84 (4) ◽

pp. 237-251 ◽

Cited By ~ 5

Author(s):

M. Lukáčová-Medvid'ová ◽

G. Warnecke ◽

Y. Zahaykah

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Equation System ◽

Two Dimensional ◽

Dimensional Wave

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Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system

Journal of Numerical Mathematics ◽

10.1515/156939503322553108 ◽

2003 ◽

Vol 11 (3) ◽

Author(s):

M. Lukáčová-Medviďová ◽

G. Warnecke ◽

Y. Zahaykah

Keyword(s):

Wave Equation ◽

Finite Volume ◽

Equation System ◽

Two Dimensional ◽

Third Order ◽

Dimensional Wave

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On the Stability of Evolution Galerkin Schemes Applied to a Two‐Dimensional Wave Equation System

SIAM Journal on Numerical Analysis ◽

10.1137/040615882 ◽

2006 ◽

Vol 44 (4) ◽

pp. 1556-1583 ◽

Cited By ~ 4

Author(s):

M. Lukáčová‐Medviďová ◽

G. Warnecke ◽

Y. Zahaykah

Keyword(s):

Wave Equation ◽

Equation System ◽

Two Dimensional ◽

The Stability ◽

Dimensional Wave

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Radiation boundary conditions for the two-dimensional wave equation from a variational principle

Mathematics of Computation ◽

10.1090/s0025-5718-1992-1106959-5 ◽

1992 ◽

Vol 58 (197) ◽

pp. 73-73 ◽

Cited By ~ 8

Author(s):

Jan Broeze ◽

Edwin F. G. van Daalen

Keyword(s):

Wave Equation ◽

Variational Principle ◽

Boundary Conditions ◽

Two Dimensional ◽

Radiation Boundary Conditions ◽

Radiation Boundary ◽

Dimensional Wave

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The Asymptotics of the Two-Dimensional Wave Equation for a General Multi-Connected Vibrating Membrane with Piecewise Smooth Robin Boundary Conditions

Acta Mathematica Sinica English Series ◽

10.1007/s10114-004-0334-2 ◽

2004 ◽

Vol 20 (2) ◽

pp. 209-222 ◽

Cited By ~ 3

Author(s):

E. M. E. Zayed

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Piecewise Smooth ◽

Robin Boundary Conditions ◽

Two Dimensional ◽

Vibrating Membrane ◽

Robin Boundary ◽

Dimensional Wave

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Accurate radiation boundary conditions for the two-dimensional wave equation on unbounded domains

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(01)00277-8 ◽

2001 ◽

Vol 191 (3-5) ◽

pp. 311-351 ◽

Cited By ~ 23

Author(s):

Lonny L. Thompson ◽

Runnong Huan ◽

Dantong He

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Unbounded Domains ◽

Two Dimensional ◽

Radiation Boundary Conditions ◽

Radiation Boundary ◽

Dimensional Wave

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Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system

Journal of Numerical Mathematics ◽

10.1163/156939503322553108 ◽

2003 ◽

Vol 11 (3) ◽

pp. 235-251 ◽

Cited By ~ 4

Author(s):

M. Lukáčová-Medvidová ◽

G. Warnecke ◽

Y. Zahaykah

Keyword(s):

Wave Equation ◽

Finite Volume ◽

Equation System ◽

Two Dimensional ◽

Third Order ◽

Dimensional Wave

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Poisson approach for evaluating numerical methods for the two-dimensional wave equation constrained to absorbing boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.12.043 ◽

2009 ◽

Vol 209 (2) ◽

pp. 273-284 ◽

Cited By ~ 1

Author(s):

Jáuber C. Oliveira ◽

Fermín S. Viloche Bazán

Keyword(s):

Wave Equation ◽

Numerical Methods ◽

Boundary Conditions ◽

Absorbing Boundary Conditions ◽

Two Dimensional ◽

Absorbing Boundary ◽

Dimensional Wave

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Meshless local radial point interpolation to three-dimensional wave equation with Neumann's boundary conditions

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1085032 ◽

2015 ◽

Vol 93 (12) ◽

pp. 2124-2140 ◽

Cited By ~ 13

Author(s):

E. Shivanian ◽

A. Rahimi ◽

M. Hosseini

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Three Dimensional ◽

Radial Point Interpolation ◽

Point Interpolation ◽

Dimensional Wave

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Applying dispersion correction to numerical approximations of the two-dimensional wave equation - eigenproblems

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.1640100908 ◽

1994 ◽

Vol 10 (9) ◽

pp. 735-742

Author(s):

R. I. Mackie

Keyword(s):

Wave Equation ◽

Two Dimensional ◽

Dispersion Correction ◽

Numerical Approximations ◽

Dimensional Wave

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Approximation of solutions of the two-dimensional wave equation with variable velocity and localized right-hand side using some “simple” solutions

Mathematical Notes ◽

10.1134/s0001434616110195 ◽

2016 ◽

Vol 100 (5-6) ◽

pp. 796-806 ◽

Cited By ~ 2

Author(s):

S. Yu. Dobrokhotov ◽

A. Yu. Anikin

Keyword(s):

Wave Equation ◽

Variable Velocity ◽

Two Dimensional ◽

Right Hand ◽

Dimensional Wave

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