Name
Title | ||
|---|---|---|
Waveform Relaxation for the Computational Homogenization of Multiscale Magnetoquasistatic Problems. |
Abstract | ||
|---|---|---|
This paper proposes the application of the waveform relaxation method to the homogenization of multiscale magnetoquasistatic problems. In the monolithic heterogeneous multiscale method, the nonlinear macroscale problem is solved using the NewtonRaphson scheme. The resolution of many mesoscale problems per Gau point allows to compute the homogenized constitutive law and its derivative by finite differences. In the proposed approach, the macroscale problem and the mesoscale problems are weakly coupled and solved separately using the finite element method on time intervals for several waveform relaxation iterations. The exchange of information between both problems is still carried out using the heterogeneous multiscale method. However, the partial derivatives can now be evaluated exactly by solving only one mesoscale problem per Gau point. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.jcp.2016.09.011 | J. Comput. Physics |
Keywords | DocType | Volume |
Cosimulation method,Eddy currents,Finite element method,FE2,HMM,Homogenization,Multiscale modeling,Nonlinear problems,Magnetoquasistatic problems,Waveform relaxation method | Journal | abs/1607.05429 |
Issue | ISSN | Citations |
C | 0021-9991 | 2 |
PageRank | References | Authors |
0.40 | 7 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Innocent Niyonzima | 1 | 4 | 1.50 |
| Christophe Geuzaine | 2 | 90 | 12.51 |
| Sebastian Schöps | 3 | 24 | 18.23 |