High dimensional finite element method for multiscale nonlinear monotone parabolic equations

• المؤلفون الرئيسيون: Tan, Wee Chin, Hoang, Viet Ha
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2020
• الموضوعات: Science::Mathematics; Multiscale Monotone Parabolic Equations; Numerical Solutions
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/141177
• المؤسسة: Nanyang Technological University

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...