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pro vyhledávání: '"Sheen, Dongwoo"'
Publikováno v:
In Computers and Mathematics with Applications 15 November 2024 174:18-30
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation February 2025 141
We introduce an algebraic multiscale method for two--dimensional problems. The method uses the generalized multiscale finite element method based on the quadrilateral nonconforming finite element spaces. Differently from the one--dimensional algebrai
Externí odkaz:
http://arxiv.org/abs/2201.10640
Autor:
Cho, Kanghun, Sheen, Dongwoo
We introduce simple quadrature rules for the family of nonparametric nonconforming quadrilateral element with four degrees of freedom. Our quadrature rules are motivated by the work of Meng {\it et al.} \cite{meng2018new}. First, we introduce a famil
Externí odkaz:
http://arxiv.org/abs/2201.10652
In this paper we propose an idea of constructing a macro--scale matrix system given a micro--scale matrix linear system. Then the macro--scale system is solved at cheaper computing costs. The method uses the idea of the generalized multiscale finite
Externí odkaz:
http://arxiv.org/abs/2201.10645
A homogenization approach is one of effective strategies to solve multiscale elliptic problems approximately. The finite element heterogeneous multiscale method (FEHMM) which is based on the finite element makes possible to simulate such process nume
Externí odkaz:
http://arxiv.org/abs/2201.10661
Autor:
Yim, Jaeryun, Sheen, Dongwoo
The $P_1$--nonconforming quadrilateral finite element space with periodic boundary condition is investigated. The dimension and basis for the space are characterized with the concept of minimally essential discrete boundary conditions. We show that t
Externí odkaz:
http://arxiv.org/abs/2201.10658
In this work, we introduce a time memory formalism in poroelasticity model that couples the pressure and displacement. We assume this multiphysics process occurs in multicontinuum media. The mathematical model contains a coupled system of equations f
Externí odkaz:
http://arxiv.org/abs/2201.07638
Akademický článek
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Autor:
Sheen, Dongwoo
Publikováno v:
in 2018 MATRIX Annals, J. de Gier et al. (eds.), MATRIX Book Series 3, pp. 121--133
We consider the lowest--degree nonconforming finite element methods for the approximation of elliptic problems in high dimensions. The $P_1$--nonconforming polyhedral finite element is introduced for any high dimension. Our finite element is simple a
Externí odkaz:
http://arxiv.org/abs/1910.04585