15 citations · 38 across the 9 of their papers we have counts for
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math.NA2019★ 2 cited
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…
math.NA2019★ 4 cited
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…
math.NA2019★ 4 cited
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…