Modified equation based mesh adaptation algorithm for evolutionary scalar partial differential equations

2021 ◽  
Author(s):  
Ritesh Kumar Dubey ◽  
Prabhat Mishra
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Mesh Adaptation ◽  
Adaptation Algorithm ◽  
Partial Differential ◽  
Modified Equation

scholarly journals A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Prabhat Mishra ◽  
Vikas Gupta ◽  
Ritesh Kumar Dubey
Keyword(s):  
Boundary Layer ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Mesh Adaptation ◽  
Adaptation Algorithm ◽  
Numerical Tests ◽  
Monitor Function ◽  
Distribution Principle ◽  
Solution Region ◽  
Layer Solution

<p style='text-indent:20px;'>In this work a novel mesh adaptation technique is proposed to approximate discontinuous or boundary layer solution of partial differential equations. We introduce new estimator and monitor function to detect solution region containing discontinuity and layered region. Subsequently, this information is utilized along with equi-distribution principle to adapt the mesh locally. Numerical tests for numerous scalar problems are presented. These results clearly demonstrate the robustness of this method and non-oscillatory nature of the computed solutions.</p>

Partial Differential Equations

2020 ◽  
Author(s):  
A. K. Nandakumaran ◽  
P. S. Datti
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential
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