Finite-element solution of planar arbitrarily anisotropic diffused optical waveguides

1985 ◽  
Vol 3 (4) ◽  
pp. 773-778 ◽  
Author(s):  
M. Koshiba ◽  
H. Kumagami ◽  
M. Suzuki
Keyword(s):  
Finite Element ◽  
Optical Waveguides ◽  
Finite Element Solution ◽  
Element Solution

Vector finite element solution of saturable nonlinear strip-loaded optical waveguides

1991 ◽  
Vol 3 (2) ◽  
pp. 147-149 ◽  
Author(s):  
R.D. Ettinger ◽  
F.A. Fernandez ◽  
B.M.A. Rahman ◽  
J.B. Davies
Keyword(s):  
Finite Element ◽  
Optical Waveguides ◽  
Finite Element Solution ◽  
Element Solution ◽  
Vector Finite Element

Full vectorial finite-element solution of nonlinear bistable optical waveguides

2002 ◽  
Vol 38 (8) ◽  
pp. 1120-1125 ◽  
Author(s):  
S.S.A. Obayya ◽  
B.M.A. Rahman ◽  
K.T.V. Grattan ◽  
H.A. El-Mikati
Keyword(s):  
Finite Element ◽  
Optical Waveguides ◽  
Finite Element Solution ◽  
Element Solution

Finite Element Solution of Nonlinear Optical Waveguides

1995 ◽  
pp. 455-461
Author(s):  
B. M. A. Rahman ◽  
P. A. Buah ◽  
K. T. V. Grattan
Keyword(s):  
Finite Element ◽  
Optical Waveguides ◽  
Nonlinear Optical ◽  
Finite Element Solution ◽  
Element Solution

scholarly journals Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Borsos ◽  
János Karátson
Keyword(s):  
Finite Element ◽  
Newton Method ◽  
Newton's Method ◽  
Numerical Experiments ◽  
Elliptic Problems ◽  
Iterative Solvers ◽  
Finite Element Solution ◽  
Element Solution ◽  
Nonlinear Beam ◽  
Quasi Newton

Abstract The goal of this paper is to present various types of iterative solvers: gradient iteration, Newton’s method and a quasi-Newton method, for the finite element solution of elliptic problems arising in Gao type beam models (a geometrical type of nonlinearity, with respect to the Euler–Bernoulli hypothesis). Robust behaviour, i.e., convergence independently of the mesh parameters, is proved for these methods, and they are also tested with numerical experiments.

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