scholarly journals A Boundary Perturbation Method for Vector Electromagnetic Scattering from Families of Doubly Periodic Gratings

2010 ◽  
Vol 45 (1-3) ◽  
pp. 471-486 ◽  
Author(s):  
David P. Nicholls ◽  
Joseph Orville
Keyword(s):  
Perturbation Method ◽  
Electromagnetic Scattering ◽  
Boundary Perturbation ◽  
Boundary Perturbation Method ◽  
Periodic Gratings

Finite difference analysis of Rayleigh wave transmission past an upward step change

1984 ◽  
Vol 74 (3) ◽  
pp. 893-911
Author(s):  
Masahiko Fuyuki ◽  
Masayoshi Nakano
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Perturbation Method ◽  
Rayleigh Wave ◽  
Finite Difference Scheme ◽  
Step Change ◽  
Boundary Perturbation ◽  
Difference Analysis ◽  
Transmission Coefficients ◽  
Boundary Perturbation Method

Abstract Transmission coefficients of the Rayleigh wave past an upward step change are obtained by the finite difference scheme. In the region of large height of a step relative to a wavelength h/λ, individual phases of the transmitted wave are investigated and the dominant wave in each phase is clarified. For smaller values of h/λ, we examine to what extent the contribution of the diffracted wave due to a step change accounts for the discrepancy between the finite difference results and the prediction of the theory of Mal and Knopoff. In order to explain the transmission coefficients with h/λ close to zero, a boundary-perturbation method is extended to the second order.

Bending of Simply-Supported Elliptic Plates: B.P.M. Solutions With Second-Order Derivative Boundary Conditions

1989 ◽  
Vol 56 (2) ◽  
pp. 356-363 ◽  
Author(s):  
R. Parnes
Keyword(s):  
Boundary Conditions ◽  
Perturbation Method ◽  
Higher Order ◽  
Point Load ◽  
Second Order ◽  
Boundary Perturbation ◽  
Simply Supported ◽  
Elliptic Plate ◽  
Elliptic Domain ◽  
Boundary Perturbation Method

A higher-order boundary perturbation method (B.P.M.) is formulated to treat a class of problems defined in an elliptic domain with associated boundary conditions expressed in terms of second-order derivatives. The method is applied to study a simply-supported elliptic plate subjected to a central lateral point load. The accuracy is investigated and the B.P.M. solution is found to yield highly accurate results for moderately elliptic domains.

scholarly journals Optimal Form for Compliance of Membrane Boundary Shift in Nonlinear Case

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Y. Yousfi ◽  
I. Hadi ◽  
A. Benbrik
Keyword(s):  
Perturbation Method ◽  
Sobolev Spaces ◽  
Nonlinear Pde ◽  
Elastic Membrane ◽  
Boundary Perturbation ◽  
Nonlinear Case ◽  
Optimal Form ◽  
Boundary Shift ◽  
Boundary Perturbation Method ◽  
Boundary Membrane

In this work, we search the existence shifting compliance optimal form of some boundary membrane, which is not elastic and not isotropic, generating nonlinear PDE. An optimal form of the elastic membrane described by the p-Laplacian is investigated. The boundary perturbation method due to Hadamard is applied in Sobolev spaces.

Optimal plastic shape design via the boundary perturbation method

1994 ◽  
Vol 8 (2-3) ◽  
pp. 145-155 ◽  
Author(s):  
W. Egner ◽  
Z. Kordas ◽  
M. Życzkowski
Keyword(s):  
Perturbation Method ◽  
Shape Design ◽  
Boundary Perturbation ◽  
Boundary Perturbation Method
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