7 citations · 31 across the 20 of their papers we have counts for
5 papers · 1 filter
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…
DNN Approximation of Nonlinear Finite Element Equations
Tuyen Tran, Aidan Hamilton, Maricela Best McKay +2
We investigate the potential of applying (D)NN ((deep) neural networks) for approximating nonlinear mappings arising in the finite element discretization of nonlinear PDEs (partial…
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…
Improving Solve Time of aggregation-based adaptive AMG
Pasqua D'Ambra, Panayot S. Vassilevski
This paper proposes improving the solve time of a bootstrap AMG designed previously by the authors. This is achieved by incorporating the information, set of algebraically smooth v…
Modifying AMG coarse spaces with weak approximation property to exhibit approximation in energy norm
Xiaozhe Hu, Panayot S. Vassilevski
Algebraic multigrid (AMG) coarse spaces are commonly constructed so that they exhibit the so-called weak approximation (WAP) property which is necessary and sufficient condition fo…