51 citations · 53 across the 9 of their papers we have counts for
9 papers
--Nonconforming Quadrilateral Finite Element Space with Periodic Boundary Conditions: Part II. Application to the Nonconforming Heterogeneous Multiscale Method
Jaeryun Yim, Dongwoo Sheen, Imbo Sim
A homogenization approach is one of effective strategies to solve multiscale elliptic problems approximately. The finite element heterogeneous multiscale method (FEHMM) which is ba…
Reduced Basis Method for the Convected Helmholtz Equation
Myoungnyoun Kim, Imbo Sim
We present a reduced basis approach to solve the convected Helmholtz equation with several physical parameters. Physical parameters characterize the aeroacoustic wave propagation i…
Numerical dispersion analysis of the convected Helmholtz equation
Ohsung Kwon, Imbo Sim
We present the numerical dispersion effects in solving the convected Helmholtz equation by the conforming and nonconforming quadrilateral finite elements. Particularly, we evaluate…
Analysis of PML Method for Stochastic Convected Helmholtz Equation
Sang-Hyeon Park, Imbo Sim
We propose and analyze the perfectly matched layer (PML) method for the time-harmonic acoustic waves driven by the white noise source in the presence of the uniform flow. A PML is…
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…
Projected Multilevel Monte Carlo Method for PDE with random input data
Myoungnyoun Kim, Imbo Sim
The order of convergence of the Monte Carlo method is 1/2 which means that we need quadruple samples to decrease the error in half in the numerical simulation. Multilevel Monte Car…
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…
Stochastic Convective Wave Equation in Two Space Dimension
Sang-Hyeon Park, Imbo Sim
We study the convective wave equation in two space dimension driven by spatially homogeneous Gaussian noise. The existence of the real-valued solution is proved by providing a nece…
Efficient PML for the wave equation
Marcus J. Grote, Imbo Sim
In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, howe…