scholarly journals Unconditionally stable modified methods for the solution of two‐ and three‐dimensional telegraphic equation with Robin boundary conditions

2018 ◽  
Vol 35 (1) ◽  
pp. 246-266
Author(s):  
Swarn Singh ◽  
Suruchi Singh ◽  
Ping Lin ◽  
Rajni Arora
Keyword(s):  
Boundary Conditions ◽  
Three Dimensional ◽  
Robin Boundary Conditions ◽  
Unconditionally Stable ◽  
Telegraphic Equation ◽  
Robin Boundary

scholarly journals A study of a nonlocal problem with Robin boundary conditions arising from technology

2021 ◽  
Author(s):  
Ourania Drosinou ◽  
Nikos I. Kavallaris ◽  
Christos V. Nikolopoulos
Keyword(s):  
Boundary Conditions ◽  
Nonlocal Problem ◽  
Robin Boundary Conditions ◽  
Robin Boundary

scholarly journals An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Li-Bin Liu ◽  
Ying Liang ◽  
Xiaobing Bao ◽  
Honglin Fang
Keyword(s):  
Boundary Conditions ◽  
Grid Method ◽  
Posteriori Error ◽  
Adaptive Grid ◽  
Singularly Perturbed ◽  
Robin Boundary Conditions ◽  
Euler Formula ◽  
Convection Diffusion ◽  
Backward Euler ◽  
Robin Boundary

AbstractA system of singularly perturbed convection-diffusion equations with Robin boundary conditions is considered on the interval $[0,1]$ [ 0 , 1 ] . It is shown that any solution of such a problem can be expressed to a system of first-order singularly perturbed initial value problem, which is discretized by the backward Euler formula on an arbitrary nonuniform mesh. An a posteriori error estimation in maximum norm is derived to design an adaptive grid generation algorithm. Besides, in order to establish the initial values of the original problems, we construct a nonlinear optimization problem, which is solved by the Nelder–Mead simplex method. Numerical results are given to demonstrate the performance of the presented method.

scholarly journals An improved a priori error analysis of Nitsche’s method for Robin boundary conditions

2017 ◽  
Vol 138 (4) ◽  
pp. 1011-1026 ◽  
Author(s):  
Nora Lüthen ◽  
Mika Juntunen ◽  
Rolf Stenberg
Keyword(s):  
Error Analysis ◽  
Boundary Conditions ◽  
A Priori ◽  
Robin Boundary Conditions ◽  
Nitsche’S Method ◽  
A Priori Error Analysis ◽  
Nitsche's Method ◽  
Robin Boundary
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