128 citations · 346 across the 59 of their papers we have counts for
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Multilevel Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems with Jump Coefficients
Blanca Ayuso De Dios, Michael Holst, Yunrong Zhu +1
We introduce and analyze two-level and multi-level preconditioners for a family of Interior Penalty (IP) discontinuous Galerkin (DG) discretizations of second order elliptic proble…
First-Order System Least Squares and the Energetic Variational Approach for Two-Phase Flow
J. H. Adler, J. Brannick, C. Liu +2
This paper develops a first-order system least-squares (FOSLS) formulation for equations of two-phase flow. The main goal is to show that this discretization, along with numerical…
Polynomial of best uniform approximation to and smoothing in two-level methods
Johannes K. Kraus, Panayot S. Vassilevski, Ludmil T. Zikatanov
We derive a three-term recurrence relation for computing the polynomial of best approximation in the uniform norm to on a finite interval with positive endpoints. As appli…