4 papers
Soohak: A Mathematician-Curated Benchmark for Evaluating Research-level Math Capabilities of LLMs
Guijin Son, Seungone Kim, Catherine Arnett +73
Following the recent achievement of gold-medal performance on the IMO by frontier LLMs, the community is searching for the next meaningful and challenging target for measuring LLM…
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…
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…
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…