scholarly journals New Resolution Strategy for Multiscale Reaction Waves using Time Operator Splitting, Space Adaptive Multiresolution, and Dedicated High Order Implicit/Explicit Time Integrators

2012 ◽  
Vol 34 (1) ◽  
pp. A76-A104 ◽  
Author(s):  
Max Duarte ◽  
Marc Massot ◽  
Stéphane Descombes ◽  
Christian Tenaud ◽  
Thierry Dumont ◽  
...  
Keyword(s):  
Operator Splitting ◽  
High Order ◽  
Time Operator ◽  
Time Integrators ◽  
Resolution Strategy

scholarly journals New Resolution Strategy for Multi-scale Reaction Waves using Time Operator Splitting and Space Adaptive Multiresolution: Application to Human Ischemic Stroke

2011 ◽  
Vol 34 ◽  
pp. 277-290 ◽  
Author(s):  
Max Duarte ◽  
Marc Massot ◽  
Stéphane Descombes ◽  
Christian Tenaud ◽  
Thierry Dumont ◽  
...  
Keyword(s):  
Ischemic Stroke ◽  
Operator Splitting ◽  
Time Operator ◽  
Multi Scale ◽  
Resolution Strategy

Simulating the temporal change of the active response of arteries by finite elements with high-order time-integrators

2019 ◽  
Vol 64 (6) ◽  
pp. 1669-1684 ◽  
Author(s):  
Rose Rogin Gilbert ◽  
Matthias Grafenhorst ◽  
Stefan Hartmann ◽  
Zohar Yosibash
Keyword(s):  
Finite Elements ◽  
Temporal Change ◽  
High Order ◽  
Active Response ◽  
Time Integrators ◽  
High Order Time

scholarly journals Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Z. X. Huang ◽  
X. L. Wu ◽  
W. E. I. Sha ◽  
B. Wu
Keyword(s):  
Numerical Integration ◽  
Time Domain ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Operator Splitting ◽  
Splitting Methods ◽  
High Order ◽  
Numerical Results ◽  
Operator Splitting Methods ◽  
The Time Domain

Optimized operator splitting methods for numerical integration of the time domain Maxwell's equations in computational electromagnetics (CEM) are proposed for the first time. The methods are based on splitting the time domain evolution operator of Maxwell's equations into suboperators, and corresponding time coefficients are obtained by reducing the norm of truncation terms to a minimum. The general high-order staggered finite difference is introduced for discretizing the three-dimensional curl operator in the spatial domain. The detail of the schemes and explicit iterated formulas are also included. Furthermore, new high-order Padé approximations are adopted to improve the efficiency of the proposed methods. Theoretical proof of the stability is also included. Numerical results are presented to demonstrate the effectiveness and efficiency of the schemes. It is found that the optimized schemes with coarse discretized grid and large Courant-Friedrichs-Lewy (CFL) number can obtain satisfactory numerical results, which in turn proves to be a promising method, with advantages of high accuracy, low computational resources and facility of large domain and long-time simulation. In addition, due to the generality, our optimized schemes can be extended to other science and engineering areas directly.

Sign in / Sign up

Export Citation Format

Share Document