15 citations · 38 across the 9 of their papers we have counts for
9 papers
Beyond Exascale: Dataflow Domain Translation on a Cerebras Cluster
Tomas Oppelstrup, Nicholas Giamblanco, Delyan Z. Kalchev +5
Simulation of physical systems is essential across scientific and engineering domains. Commonly used domain decomposition methods are unable to simultaneously deliver both high sim…
Breaking the mold: overcoming the time constraints of molecular dynamics on general-purpose hardware
Danny Perez, Aidan Thompson, Stan Moore +11
The evolution of molecular dynamics (MD) simulations has been intimately linked to that of computing hardware. For decades following the creation of MD, simulations have improved w…
Scalable Multilevel Monte Carlo Methods Exploiting Parallel Redistribution on Coarse Levels
Hillary R. Fairbanks, Delyan Z. Kalchev, Chak Shing Lee +1
We study an element agglomeration coarsening strategy that requires data redistribution at coarse levels when the number of coarse elements becomes smaller than the used computatio…
Breaking the Molecular Dynamics Timescale Barrier Using a Wafer-Scale System
Kylee Santos, Stan Moore, Tomas Oppelstrup +11
Molecular dynamics (MD) simulations have transformed our understanding of the nanoscale, driving breakthroughs in materials science, computational chemistry, and several other fiel…
Parallel Element-based Algebraic Multigrid for H(curl) and H(div) Problems Using the ParELAG Library
Delyan Z. Kalchev, Panayot S. Vassilevski, Umberto Villa
This paper presents the use of element-based algebraic multigrid (AMGe) hierarchies, implemented in the ParELAG (Parallel Element Agglomeration Algebraic Multigrid Upscaling and So…
Mixed and least-squares finite element methods with application to linear hyperbolic problems
Delyan Z. Kalchev, Thomas A. Manteuffel, Steffen Münzenmaier
In this paper, a few dual least-squares finite element methods and their application to scalar linear hyperbolic problems are studied. The purpose is to obtain -norm approxima…
A Condensed Constrained Nonconforming Mortar-based Approach for Preconditioning Finite Element Discretization Problems
Delyan Z. Kalchev, Panayot S. Vassilevski
This paper presents and studies an approach for constructing auxiliary space preconditioners for finite element problems using a constrained nonconforming reformulation, that is ba…
A Least-Squares Finite Element Method Based on the Helmholtz Decomposition for Hyperbolic Balance Laws
Delyan Z. Kalchev, Thomas A. Manteuffel
In this paper, a least-squares finite element method for scalar nonlinear hyperbolic balance laws is proposed and studied. The approach is based on a formulation that utilizes an a…
Auxiliary Space Preconditioning of Finite Element Equations Using a Nonconforming Interior Penalty Reformulation and Static Condensation
Delyan Z. Kalchev, Panayot S. Vassilevski
We modify the well-known interior penalty finite element discretization method so that it allows for element-by-element assembly. This is possible due to the introduction of additi…