5 citations · 5 across the 4 of their papers we have counts for
4 papers
Convergence and Optimality of Adaptive Mixed Methods on Surfaces
Michael Holst, Adam Mihalik, Ryan Szypowski
In a 1988 article, Dziuk introduced a nodal finite element method for the Laplace-Beltrami equation on 2-surfaces approximated by a piecewise-linear triangulation, initiating a lin…
Convergence and Optimality of Adaptive Methods for Poisson's Equation in the FEEC Framework
Michael Holst, Yuwen Li, Adam Mihalik +1
Finite Element Exterior Calculus (FEEC) was developed by Arnold, Falk, Winther and others over the last decade to exploit the observation that mixed variational problems can be pos…
Two-Grid Methods for Semilinear Interface Problems
Michael Holst, Ryan Szypowski, Yunrong Zhu
In this article we consider two-grid finite element methods for solving semilinear interface problems in d space dimensions, for d=2 or d=3. We first describe in some detail the ta…
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…