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math.NA2022
Smoothers Based on Nonoverlapping Domain Decomposition Methods for Problems: A Numerical Study
Duk-Soon Oh
This paper presents a numerical study on multigrid algorithms of -cycle type for problems posed in the Hilbert space in three dimensions. The multigrid method…
math.NA2022
Multigrid methods for 3 problems with nonoverlapping domain decomposition smoothers
Duk-Soon Oh
We propose V--cycle multigrid methods for vector field problems arising from the lowest order hexahedral Nédélec finite element. Since the conventional scalar smoothing techniques…
math.NA2015
Multigrid Methods for Saddle Point Problems: Darcy Systems
Susanne C. Brenner, Duk-Soon Oh, Li-yeng Sung
We design and analyze multigrid methods for the saddle point problems resulting from Raviart-Thomas-Nédélec mixed finite element methods (of order at least 1) for the Darcy system…