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math.NA2022
--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…
math.NA2022
--Nonconforming Quadrilateral Finite Element Space with Periodic Boundary Conditions: Part I. Fundamental results on dimensions, bases, solvers, and error analysis
Jaeryun Yim, Dongwoo Sheen
The --nonconforming quadrilateral finite element space with periodic boundary condition is investigated. The dimension and basis for the space are characterized with the conce…
math.NA2015★ 15 cited
Stable cheapest nonconforming finite elements for the Stokes equations
Sihwan Kim, Jaeryun Yim, Dongwoo Sheen
We introduce two pairs of stable cheapest nonconforming finite element space pairs to approximate the Stokes equations. One pair has each component of its velocity field to be appr…