A mixed symmetric BEM for multi-domain, multi-material and crack interface problems in elastostatics

2010 ◽  
pp. 349-363
Author(s):  
Hong Yi ◽  
Jacobo Bielak ◽  
Loukas F. Kallivokas
Keyword(s):  
Interface Problems ◽  
Crack Interface

scholarly journals ANALYSIS OF OPTICAL WAVEGUIDES WITH ARBITRARY INDEX PROFILE USING AN IMMERSED INTERFACE METHOD

2011 ◽  
Vol 22 (07) ◽  
pp. 687-710 ◽  
Author(s):  
THEODOROS P. HORIKIS
Keyword(s):  
Optical Waveguides ◽  
Eigenvalue Problems ◽  
Numerical Technique ◽  
Interface Problems ◽  
Index Profile ◽  
Immersed Interface Method ◽  
Immersed Interface ◽  
Light Confinement ◽  
Bragg Fibers ◽  
Matrix Eigenvalue Problems

A numerical technique is described that can efficiently compute solutions of interface problems. These are problems with data, such as the coefficients of differential equations, discontinuous or even singular across one or more interfaces. A prime example of these problems are optical waveguides, and as such the scheme is applied to Maxwell's equations as they are formulated to describe light confinement in Bragg fibers. It is based on standard finite differences appropriately modified to take into account all possible discontinuities across the waveguide's interfaces due to the change of the refractive index. Second- and fourth-order schemes are described with additional adaptations to handle matrix eigenvalue problems, demanding geometries and defects.

Meshless analysis of parabolic interface problems

2018 ◽  
Vol 94 ◽  
pp. 134-152 ◽  
Author(s):  
Masood Ahmad ◽  
Siraj-ul-Islam
Keyword(s):  
Interface Problems
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