Sparse tensor product finite elements for two scale elliptic and parabolic equations with discontinuous coefficients

• Main Authors: Pang, Chen Hui, Hoang, Viet Ha
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2025
• Subjects: Mathematical Sciences; Discontinuous coefficients; Element method
• Online Access: https://hdl.handle.net/10356/182626
• Institution: Nanyang Technological University

The paper develops the essentially optimal sparse tensor product finite element method for solving two scale elliptic and parabolic problems in a domain D⊂Rd, d=2,3, which is embedded with a periodic array of inclusions of microscopic sizes and spacing. The two scale coefficient is thus discontinuou...