57 citations · 69 across the 14 of their papers we have counts for
4 papers · 1 filter
Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic PDE with jump coefficient
Yunrong Zhu
In this paper, we present a multigrid -cycle preconditioner for the linear system arising from piecewise linear nonconforming Crouzeix-Raviart discretization of second order ell…
Finite Element Error Estimates for Critical Growth Semilinear Problems without Angle Conditions
Randolph E. Bank, Michael Holst, Ryan Szypowski +1
In this article we consider a priori error and pointwise estimates for finite element approximations of solutions to semilinear elliptic boundary value problems in d>=2 space dimen…
Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients
Blanca Ayuso De Dios, Michael Holst, Yunrong Zhu +1
In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order e…
Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation
Michael Holst, Ryan Szypowski, Yunrong Zhu
In this article we study adaptive finite element methods (AFEM) with inexact solvers for a class of semilinear elliptic interface problems. We are particularly interested in nonlin…