A Finite Difference Mode Solver Based on Domain Decomposition

2006 ◽  
Author(s):  
Yue Xia Huang ◽  
Ya Yan Lu
Keyword(s):  
Finite Difference ◽  
Domain Decomposition ◽  
Mode Solver ◽  
Difference Mode

Finite difference mode solver for active optical waveguides

1998 ◽  
Author(s):  
Paolo Bassi ◽  
Gaetano Bellanca ◽  
Gualtiero Nunzi Conti ◽  
Giancarlo C. Righini ◽  
Giovanni Tartarini
Keyword(s):  
Finite Difference ◽  
Optical Waveguides ◽  
Mode Solver ◽  
Difference Mode

Fast Domain Decomposition Type Solver for Stiffness Matrices of Reference p-Elements

2013 ◽  
Vol 13 (2) ◽  
pp. 161-183 ◽  
Author(s):  
Vadim Korneev
Keyword(s):  
Finite Difference ◽  
Domain Decomposition ◽  
Elliptic Equations ◽  
Harmonic Functions ◽  
Schur Complement ◽  
P Elements ◽  
Stiffness Matrices ◽  
The Family ◽  
Discrete Harmonic Functions

Abstract. A key component of domain decomposition solvers for hp discretizations of elliptic equations is the solver for internal stiffness matrices of p-elements. We consider an algorithm which belongs to the family of secondary domain decomposition solvers, based on the finite-difference like preconditioning of p-elements, and was outlined by the author earlier. We remove the uncertainty in the choice of the coarse (decomposition) grid solver and suggest the new interface Schur complement preconditioner. The latter essentially uses the boundary norm for discrete harmonic functions induced by orthotropic discretizations on slim rectangles, which was derived recently. We prove that the algorithm has linear arithmetical complexity.

3D finite difference modeling via domain decomposition

1996 ◽  
Author(s):  
Alberto Villarreal ◽  
John A. Scales
Keyword(s):  
Finite Difference ◽  
Domain Decomposition
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