205 citations · 1.6k across the 115 of their papers we have counts for
9 papers · 2 filters
A staggered discontinuous Galerkin method for a class of nonlinear elliptic equations
Eric T. Chung, Ming Fai Lam, Chi Yeung Lam
In this paper, we present a staggered discontinuous Galerkin (SDG) method for a class of nonlinear elliptic equations in two dimensions. The SDG methods have some distinctive advan…
An enriched multiscale mortar space for high contrast flow problems
Eric T. Chung, Shubin Fu, Yanfang Yang
Mortar methods are widely used techniques for discretizations of partial differential equations and preconditioners for the algebraic systems resulting from the discretizations. Fo…
A mass conservative scheme for fluid-structure interaction problems by the staggered discontinuous Galerkin method
Siu Wun Cheung, Eric Chung, Hyea Hyun Kim
In this paper, we develop a new mass conservative numerical scheme for the simulations of a class of fluid-structure interaction problems. We will use the immersed boundary method…
A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains
Eric T. Chung, Maria Vasilyeva, Yating Wang
In this paper, we present a new multiscale model reduction technique for the Stokes flows in heterogeneous perforated domains. The challenge in the numerical simulations of this pr…
BDDC and FETI-DP algorithms with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients
Hyea Hyun Kim, Eric Chung, Junxian Wang
BDDC and FETI-DP algorithms are developed for three-dimensional elliptic problems with adaptively enriched coarse components. It is known that these enriched components are necessa…
Re-iterated multiscale model reduction using the GMsFEM
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +1
Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective proper…