On the -stability of the -projection onto finite element spaces
RE Bank, H Yserentant - Numerische Mathematik, 2014 - Springer
We study the stability in the H^ 1 H 1-seminorm of the L_2 L 2-projection onto finite element
spaces in the case of nonuniform but shape regular meshes in two and three dimensions …
spaces in the case of nonuniform but shape regular meshes in two and three dimensions …
A posteriori estimates using auxiliary subspace techniques
A posteriori error estimators based on auxiliary subspace techniques for second order
elliptic problems in R d (d≥ 2) are considered. In this approach, the solution of a global …
elliptic problems in R d (d≥ 2) are considered. In this approach, the solution of a global …
Saturation estimates for hp-finite element methods
RE Bank, A Parsania, S Sauter - Computing and Visualization in Science, 2013 - Springer
In this paper we will prove saturation estimates for the adaptive hp hp-finite element method
for linear, second order partial differential equations. More specifically we will consider a …
for linear, second order partial differential equations. More specifically we will consider a …
An error analysis of some higher order space-time moving finite elements
RE Bank, MS Metti - Computing and Visualization in Science, 2013 - Springer
This is a study of certain finite element methods designed for convection-dominated, time-
dependent partial differential equations. Specifically, we analyze high order space-time …
dependent partial differential equations. Specifically, we analyze high order space-time …
Adventures in adaptivity
RE Bank, C Deotte - Computing and Visualization in Science, 2017 - Springer
In this work, we compare and contrast a few finite element h-adaptive and hp-adaptive
algorithms. We test these schemes on three example PDE problems and we utilize and …
algorithms. We test these schemes on three example PDE problems and we utilize and …
Analysis of Some Higher Order Space-Time Moving Finite Element Methods
MS Metti - 2013 - escholarship.org
This is a study of an application of finite element methods designed for convection-
dominated, time-dependent partial differential equations. Specifically, this work analyzes …
dominated, time-dependent partial differential equations. Specifically, this work analyzes …
A parallel hp-adaptive finite element method
RE Bank, H Nguyen - Recent Advances in Scientific Computing …, 2013 - books.google.com
This paper describes a combination of automatic hp-adaptive finite elements and domain
decomposition. The combination is based on the Bank-Holst parallel adaptive meshing …
decomposition. The combination is based on the Bank-Holst parallel adaptive meshing …
On the convergence of adaptive feedback loops
RE Bank, H Yserentant - Computing and Visualization in Science, 2019 - Springer
We present a technique for proving convergence of h and hp adaptive finite element
methods through comparison with certain reference refinement schemes based on …
methods through comparison with certain reference refinement schemes based on …