4 papers · 1 filter
A Trace-Based Interface Reduction Method for Highly Conducting Interfaces
So-Hsiang Chou, Do Young Kwak
We develop a reduced interface formulation for elliptic interface problems with highly conducting interfaces. The interface condition consists of continuity of the primal variable…
Mixed virtual volume methods for elliptic problems
Gwanghyun Jo, Do Y. Kwak
We develop a class of mixed virtual volume methods for elliptic problems on polygonal/polyhedral grids. Unlike the mixed virtual element methods introduced in \cite{brezzi2014basic…
A formal construction of a divergence-free basis in the nonconforming virtual element method for the Stokes problem
Do Y. Kwak, Hyeokjoo Park
We develop a formal construction of a pointwise divergence-free basis in the nonconforming virtual element method of arbitrary order for the Stokes problem introduced in [19]. The…
Locally conservative immersed finite element method for elliptic interface problems
Gwanghyun Jo, Do Young Kwak, Young Ju Lee
In this paper, we introduce the locally conservative enriched immersed finite element method (EIFEM) to tackle the elliptic problem with interface. The immersed finite element is u…