High dimensional finite element method for multiscale nonlinear monotone parabolic equations

We develop in this paper an essentially optimal finite element (FE) method for solving locally periodic nonlinear monotone parabolic equations in a domain D⊂Rd that depend on n separable microscopic scales. For nonlinear multiscale equations, it is not possible to form the homogenized equation expli...

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Bibliographic Details
Main Authors: Tan, Wee Chin, Hoang, Viet Ha
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/141177