[HTML][HTML] An optimal Schwarz preconditioner for a class of parallel adaptive finite elements

S Loisel, H Nguyen - Journal of Computational and Applied Mathematics, 2017 - Elsevier
A Schwarz-type preconditioner is formulated for a class of parallel adaptive finite elements
where the local meshes cover the whole domain. With this preconditioner, the convergence …

hp Adaptive finite elements based on derivative recovery and superconvergence

RE Bank, H Nguyen - Computing and Visualization in Science, 2011 - Springer
In this paper, we present a new approach to hp-adaptive finite element methods. Our a
posteriori error estimates and hp-refinement indicator are inspired by the work on …

[HTML][HTML] On the convergence of an optimal Additive Schwarz method for parallel adaptive finite elements

S Loisel, H Nguyen - Journal of Computational and Applied Mathematics, 2019 - Elsevier
In this paper, we formulate and analyze a one-level Additive Schwarz preconditioner with full-
domain overlap for a class of parallel adaptive finite elements, including the Bank–Holst …

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 …