17 citations · 19 across the 14 of their papers we have counts for
14 papers
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…
An Immersed Weak Galerkin Method for Elliptic Interface Problems on Polygonal Meshes
Hyeokjoo Park, Do Y. Kwak
In this paper we present an immersed weak Galerkin method for solving second-order elliptic interface problems on polygonal meshes, where the meshes do not need to be aligned with…
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…
Lowest-order virtual element methods for linear elasticity problems
Do Y. Kwak, Hyeokjoo Park
We present two kinds of lowest-order virtual element methods for planar linear elasticity problems. For the first one we use the nonconforming virtual element method with a stabili…
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…
An IMPES scheme for a two-phase flow in heterogeneous porous media using a structured grid
Gwanghyun Jo, Do Y. Kwak
We develop a numerical scheme for a two-phase immiscible flow in heterogeneous porous media using a structured grid finite element method, which have been successfully used for the…
A generalization of the divide and conquer algorithm for the symmetric tridiagonal eigenproblem
Do Young Kwak, Jaeyeon Kim
In this paper, we present a generalized Cuppen's divide-and-conquer algorithm for the symmetric tridiagonal eigenproblem. We extend the Cuppen's work to the rank two modifications…
Immersed finite element method for eigenvalue problems in elasticity
Seungwoo Lee, Do Y. Kwak, Imbo Sim
We consider the approximation of eigenvalue problems for elasticity equations with interface. This kind of problems can be efficiently discretized by using immersed finite element…
Immersed Finite Element Method for Eigenvalue Problem
Seungwoo Lee, Do Y. Kwak, Imbo Sim
We consider the approximation of elliptic eigenvalue problem with an immersed interface. The main aim of this paper is to prove the stability and convergence of an immersed finite…
A stabilized immersed finite element method for the interface elasticity problems
Do Y. Kwak, Sangwon Jin, Dae H. Kyeong
We develop a new finite element method for solving planar elasticity problems involving of heterogeneous materials with a mesh not necessarily aligning with the interface of the ma…
A modified - immersed finite element method
Do Y. Kwak, Juho Lee
In recent years, the immersed finite element methods (IFEM) introduced in \cite{Li2003}, \cite{Li2004} to solve elliptic problems having an interface in the domain due to the disco…
An Analysis of broken -Nonconforming Finite Element Method For Interface Problems
Do Y. Kwak, K. T. Wee
We study some numerical methods for solving second order elliptic problem with interface. We introduce an immersed interface finite element method based on the `broken' -nonco…
Extraction method for Stokes Flow with jumps in the pressure
K. S. Chang, D. Y. Kwak
In this paper, we consider a stationary, constant viscosity, incompressible Stokes flow with singular forces along one or several interfaces. Assuming only the jumps of the pressur…