51 citations · 52 across the 5 of their papers we have counts for
5 papers
Iterative algorithms for partitioned neural network approximation to partial differential equations
Hee Jun Yang, Hyea Hyun Kim
To enhance solution accuracy and training efficiency in neural network approximation to partial differential equations, partitioned neural networks can be used as a solution surrog…
Learning adaptive coarse spaces of BDDC algorithms for stochastic elliptic problems with oscillatory and high contrast coefficients
Eric Chung, Hyea Hyun Kim, Ming Fai Lam +1
In this paper, we consider the balancing domain decomposition by constraints (BDDC) algorithm with adaptive coarse spaces for a class of stochastic elliptic problems. The key ingre…
A two-level overlapping Schwarz method with energy-minimizing multiscale coarse basis functions
Junxian Wang, Eric Chung, Hyea Hyun Kim
A two-level overlapping Schwarz method is developed for second order elliptic problems with highly oscillatory and high contrast coefficients, for which it is known that the standa…
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…
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…