Sparse tensor product high dimensional finite elements for two-scale mixed problems

• المؤلفون الرئيسيون: Chu, Van Tiep, Hoang, Viet Ha, Lim, Roktaek
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Science::Mathematics; Optimal Complexity; Numerical Corrector
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/160855

We develop the essentially optimal sparse tensor product finite element method for solving two-scale mixed problems in both the primal and dual forms. We study the two-scale homogenized mixed problems which are obtained in the limit where the microscopic scale tends to zero. These limiting problems...