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MOC
2000
124views more  MOC 2000»
13 years 4 months ago
Local and parallel finite element algorithms based on two-grid discretizations
A number of new local and parallel discretization and adaptive finite element algorithms are proposed and analyzed in this paper for elliptic boundary value problems. These algorit...
Jinchao Xu, Aihui Zhou

Publication
519views
12 years 3 months ago
The Finite Volume, Finite Difference, and Finite Elements Methods as Numerical Methods for Physical Field Problems
I. Introduction II. Foundations A. The Mathematical Structure of Physical Field Theories B. Geometric Objects and Orientation 1. Space-Time Object...
Claudio Mattiussi
SIAMSC
2010
125views more  SIAMSC 2010»
13 years 3 months ago
A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
Abstract. In this article, we present a parallel geometric multigrid algorithm for solving elliptic partial differential equations (PDEs) on octree based conforming finite elemen...
Rahul S. Sampath, George Biros
SIAMNUM
2010
95views more  SIAMNUM 2010»
12 years 11 months ago
Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements
A Balancing Domain Decomposition Method by Constraints (BDDC) is constructed and analyzed for the Reissner-Mindlin plate bending problem discretized with MITC finite elements. This...
L. Beirão da Veiga, C. Chinosi, Carlo Lovad...
CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 5 months ago
Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloi
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Feng-Nan Hwang, Shang-Rong Cai, Yun-Long Shao, Jon...