An inverse problem of the three-dimensional wave equation for a general annular vibrating membrane with piecewise smooth boundary conditions

E. M. E. Zayed

doi:10.1007/bf02936184

An inverse problem of the three-dimensional wave equation for a general annular vibrating membrane with piecewise smooth boundary conditions

Journal of Applied Mathematics and Computing ◽

10.1007/bf02936184 ◽

2003 ◽

Vol 12 (1-2) ◽

pp. 81-105 ◽

Cited By ~ 4

Author(s):

E. M. E. Zayed

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Boundary Conditions ◽

Smooth Boundary ◽

Three Dimensional ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Vibrating Membrane ◽

Dimensional Wave

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The 3D Inverse Problem of the Wave Equation for a General Multi-connected Vibrating Membrane with a Finite Number of Piecewise Smooth Boundary Conditions

Acta Mathematica Sinica English Series ◽

10.1007/s10114-004-0514-0 ◽

2005 ◽

Vol 21 (4) ◽

pp. 733-752

Author(s):

E. M. E. Zayed

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Boundary Conditions ◽

Finite Number ◽

Smooth Boundary ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Vibrating Membrane

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On hearing the shape of the three-dimensional multi-connected vibrating membrane with piecewise smooth boundary conditions

Applicable Analysis ◽

10.1080/00036810108840957 ◽

2001 ◽

Vol 79 (1-2) ◽

pp. 187-216 ◽

Cited By ~ 1

Author(s):

E.M.E. Zayed

Keyword(s):

Boundary Conditions ◽

Smooth Boundary ◽

Three Dimensional ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Vibrating Membrane

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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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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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An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin boundary conditions

Quarterly of Applied Mathematics ◽

10.1090/qam/1976367 ◽

2003 ◽

Vol 61 (2) ◽

pp. 233-249 ◽

Cited By ~ 2

Author(s):

E. M. E. Zayed

Keyword(s):

Inverse Problem ◽

Boundary Conditions ◽

Three Dimensional ◽

Robin Boundary Conditions ◽

Vibrating Membrane ◽

Robin Boundary

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Approximation of singularly perturbed parabolic equations in unbounded domains subject to piecewise smooth boundary conditions in the case of solutions that grow at infinity

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542509100091 ◽

2009 ◽

Vol 49 (10) ◽

pp. 1748-1764

Author(s):

G. I. Shishkin

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Smooth Boundary ◽

Unbounded Domains ◽

Piecewise Smooth ◽

Singularly Perturbed ◽

Piecewise Smooth Boundary ◽

Singularly Perturbed Parabolic Equations

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Short-time Asymptotics of the Heat Kernel on Bounded Domain with Piecewise Smooth Boundary Conditions and Its Applications to an Ideal Gas

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-004-0162-2 ◽

2004 ◽

Vol 20 (2) ◽

Cited By ~ 1

Author(s):

E. M. E. Zayed

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

Bounded Domain ◽

Smooth Boundary ◽

Ideal Gas ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

Short Time

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Absorbing Boundary Conditions of Arbitrary Shape for the Three-Dimensional Wave Equation

Fluid Mechanics and Its Applications - IUTAM Symposium on Computational Methods for Unbounded Domains ◽

10.1007/978-94-015-9095-2_24 ◽

1998 ◽

pp. 221-228 ◽

Cited By ~ 2

Author(s):

Loukas F. Kallivokas ◽

Jacobo Bielak ◽

Richard C. MacCamy

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Arbitrary Shape ◽

Three Dimensional ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Dimensional Wave

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An inverse problem for the three-dimensional multi-connected vibrating membrane with Robin boundary conditions

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00209-0 ◽

2002 ◽

Vol 132 (2-3) ◽

pp. 515-535 ◽

Cited By ~ 2

Author(s):

E.M.E. Zayed

Keyword(s):

Inverse Problem ◽

Boundary Conditions ◽

Three Dimensional ◽

Robin Boundary Conditions ◽

Vibrating Membrane ◽

Robin Boundary

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The wave equation approach to the two-dimensional inverse problem for a general bounded domain with piecewise smooth mixed boundary conditions

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30395-8 ◽

2001 ◽

Vol 21 (2) ◽

pp. 171-181 ◽

Cited By ~ 8

Author(s):

E.M.E. Zayed ◽

I.H. Abdel-Halim

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Boundary Conditions ◽

Bounded Domain ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Piecewise Smooth ◽

Two Dimensional ◽

Equation Approach

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