Development of a 1-D Error-Minimizing Moving Adaptive Grid Method

2001 ◽  
Author(s):  
Mart Borsboom
Keyword(s):  
Grid Method ◽  
Adaptive Grid

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.

Particle simulation of hypersonic flow based on unstructured adaptive grid method

2019 ◽  
Author(s):  
Fei Huang ◽  
Xu-Hong Jin ◽  
Guo-Xi Han ◽  
Xiao-Li Cheng
Keyword(s):  
Hypersonic Flow ◽  
Grid Method ◽  
Adaptive Grid ◽  
Particle Simulation

scholarly journals Three-Dimensional Overset Adaptive-Grid Method for Compressible Flows.

1997 ◽  
Vol 63 (609) ◽  
pp. 1597-1603 ◽  
Author(s):  
Masashi YAMAKAWA ◽  
Kenichi MATSUNO ◽  
Nobuyuki SATOFUKA
Keyword(s):  
Compressible Flows ◽  
Three Dimensional ◽  
Grid Method ◽  
Adaptive Grid

scholarly journals A Simple Adaptive Grid Method in Two Dimensions

1994 ◽  
Vol 15 (4) ◽  
pp. 776-797 ◽  
Author(s):  
WeiZhang Huang ◽  
David M. Sloan
Keyword(s):  
Grid Method ◽  
Adaptive Grid ◽  
Two Dimensions

Passive seismic tomography for rockburst risk identification based on adaptive-grid method

2019 ◽  
Vol 86 ◽  
pp. 198-208 ◽  
Author(s):  
Si-yuan Gong ◽  
Jing Li ◽  
Feng Ju ◽  
Lin-ming Dou ◽  
Jiang He ◽  
...  
Keyword(s):  
Seismic Tomography ◽  
Grid Method ◽  
Adaptive Grid ◽  
Risk Identification ◽  
Passive Seismic
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