A posterior error estimates for the nonlinear grating problem with transparent boundary condition

2014 ◽  
Vol 31 (4) ◽  
pp. 1101-1118
Author(s):  
Zhoufeng Wang ◽  
Yunzhang Zhang
Keyword(s):  
Boundary Condition ◽  
Error Estimates ◽  
Transparent Boundary Condition ◽  
A Posterior Error

A posterior error estimates for hp—boundary element methods

1996 ◽  
Vol 61 (3-4) ◽  
pp. 233-253 ◽  
Author(s):  
Carsten Carstensen ◽  
Stefan A. funken ◽  
Ernst P. Stephan
Keyword(s):  
Boundary Element ◽  
Error Estimates ◽  
Boundary Element Methods ◽  
A Posterior Error

Homogenization of singularly perturbed Dirichlet problems in perforated domains

2000 ◽  
Vol 130 (1) ◽  
pp. 35-51
Author(s):  
Viêt Há Hoáng
Keyword(s):  
Boundary Condition ◽  
Asymptotic Behaviour ◽  
Error Estimates ◽  
Dirichlet Boundary Condition ◽  
Dirichlet Boundary ◽  
Singularly Perturbed ◽  
Singularly Perturbed Problem ◽  
Perforated Domain ◽  
Dirichlet Problems ◽  
Perforated Domains

We study the singularly perturbed problem —εαΔuε + uε = f (α > 0) with the Dirichlet boundary condition in a perforated domain, in which the holes are distributed periodically with period 2ε throughout a fixed domain Ω. The asymptotic behaviour of uε when ε → 0, together with corrector results and error estimates in L2(Ω), are deduced for all sizes of holes. The behaviour of uε in is obtained for the cases where the size of holes is of order ε or is of a sufficiently smaller order. When the holes' size is of a sufficiently small order, as expected, uε has similar behaviour to that in the case of a non-varying domain.

scholarly journals Transparent Boundary Condition for Calculating Water Waves by a Particle Method

2010 ◽  
Vol 11 ◽  
pp. 125-136
Author(s):  
Kazuya Shibata ◽  
Seiichi Koshizuka ◽  
Mikio Sakai ◽  
Katsuji Tanizawa ◽  
Masaru Tsujimoto
Keyword(s):  
Boundary Condition ◽  
Water Waves ◽  
Particle Method ◽  
Transparent Boundary Condition
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