A parallel finite element variational multiscale method based on fully overlapping domain decomposition for incompressible flows

Y Shang - Numerical Methods for Partial Differential Equations, 2015 - Wiley Online Library
Based on fully overlapping domain decomposition and a recent variational multiscale
method, a parallel finite element variational multiscale method for convection dominated …

[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 …

[PDF][PDF] Nodal basis functions in p-adaptive finte element methods

H Nguyen, QH Phan, T Mai - DTU Journal of Science & …, 2020 - thuvienlamdong.org.vn
Nodal basis functions in p-adaptive finte element methods Page 1 Nodal basis functions in p-adaptive
finte element methods Hàm nút cơ sở dùng trong phương pháp phần tử hữu hạn thích nghi …

Mesh Regularization in Bank-Holst Parallel hp-Adaptive Meshing

RE Bank, H Nguyen - Domain Decomposition Methods in Science and …, 2013 - Springer
In this work, we study mesh regularization in Bank-Holst parallel adaptive paradigm when
adaptive enrichment in both h (geometry) and p (degree) is used. The paradigm was first …

[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 …

[图书][B] Domain partitioning methods for elliptic partial differential equations

CG Deotte - 2014 - search.proquest.com
UNIVERSITY OF CALIFORNIA, SAN DIEGO Domain Partitioning Methods for Elliptic Partial
Differential Equations A dissertation submi Page 1 UNIVERSITY OF CALIFORNIA, SAN DIEGO …

[PDF][PDF] PLTMG: A Software Package

RE Bank - Solving Elliptic Partial Diflerential Equations, 2004 - 193.219.28.2
Many people have made contributions to the development of this version of PLTMG; I am
indebted to them all for their help. The original grid refinement algorithms used in PLTMG …

[引用][C] An optimal schwarz preconditioner for parallel adaptive finite elements

S Loisel, H Nguyen - SIAM J. Numer. Anal., submitted