5 citations · 5 across the 1 of their papers we have counts for
3 papers
math.NA2013★ 5 cited
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…
math.NA2010
Local Convergence of Adaptive Methods for Nonlinear Partial Differential Equations
Michael Holst, Gantumur Tsogtgerel, Yunrong Zhu
In this article we develop convergence theory for a general class of adaptive approximation algorithms for abstract nonlinear operator equations on Banach spaces, and use the theor…
gr-qc2008
Far-from-constant mean curvature solutions of Einstein's constraint equations with positive Yamabe metrics
M. Holst, G. Nagy, G. Tsogtgerel
In this article we develop some new existence results for the Einstein constraint equations using the Lichnerowicz-York conformal rescaling method. The mean extrinsic curvature is…