Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
江山, 南通大学
Inviter:
戴小英 研究员
Title:
Multiscale simulation for singular perturbation with small parameters and for flow problem
Time & Venue:
2019.7.4 10:00-11:00 N205
Abstract:
We propose a reduced multiscale finite element method for a 1D convection- diffusion problem with a Robin boundary condition. The small perturbed parameters would cause boundary layer oscillations, so we apply several adapted grids to recover the defects. For a 2D singularly perturbed problem an adapted Petrov-Galerkin multiscale method is presented, the multiscale basis functions are constructed from both homogeneous and nonhomogeneous localized problems, which provides more flexibility and removes the resonance effect. After that, a multiscale eigenvalue computation is applied to the flow equation. It is realized via a spectral decomposition from the dominant eigenvalues, that is used for an enrichment of multiscale bases to improve its efficiency.