57 citations · 69 across the 14 of their papers we have counts for
3 papers · 1 filter
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…
Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation
Michael Holst, James Andrew McCammon, Zeyun Yu +2
We develop an efficient and reliable adaptive finite element method (AFEM) for the nonlinear Poisson-Boltzmann equation (PBE). We first examine the regularization technique of Chen…
Local Multilevel Preconditioners for Elliptic Equations with Jump Coefficients on Bisection Grids
Long Chen, Michael Holst, Jinchao Xu +1
The goal of this paper is to design optimal multilevel solvers for the finite element approximation of second order linear elliptic problems with piecewise constant coefficients on…