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ADCM
2011
13 years 2 months ago
Approximation properties of the Generalized Finite Element Method
In this paper, we have obtained an approximation result in the Generalized Finite Element Method (GFEM) that reflects the global approximation property of the Partition of Unity ...
C. Anitescu, U. Banerjee
COMPUTING
2008
174views more  COMPUTING 2008»
13 years 7 months ago
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems
Generalizing the approach of a previous work [15] the authors present multilevel preconditioners for three-dimensional (3D) elliptic problems discretized by a family of Rannacher ...
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
COMPUTING
1999
128views more  COMPUTING 1999»
13 years 7 months ago
A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids
Nonconforming finite element discretisations require special care in the construction of the prolongation andrestrictioninthemultigridprocess. Inthispaper,ageneralschemeisproposed...
Dietrich Braess, Maksimillian Dryja, Wolfgang Hack...
JSCIC
2008
134views more  JSCIC 2008»
13 years 7 months ago
Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Yan Xu, Jaap J. W. van der Vegt, Onno Bokhove

Publication
519views
12 years 5 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