An unfitted hybridizable discontinuous Galerkin method for the Poisson interface problem and its error analysis

• Main Authors: Dong, Haixia, Wang, Bo, Xie, Ziqing, Wang, Li-Lian
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2017
• Subjects: Hybridizable Discontinuous Galerkin Method; Poisson Interface Equation
• Online Access: https://hdl.handle.net/10356/85561; http://hdl.handle.net/10220/43727
• Institution: Nanyang Technological University

In this article, we present and analyse an unfitted mesh method for the Poisson interface problem. By constructing a novel ansatz function in the vicinity of the interface, we are able to derive an extended Poisson problem whose interface fits a given quasi-uniform triangular mesh. Then we adopt a h...