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» Approximation by quadrilateral finite elements
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IMR
2003
Springer
14 years 1 months ago
Increasing the Number and Volume of Hexahedral and Prism Elements in a Hex-Dominant Mesh by Topological Transformations
This paper describes a new method for increasing the number and the volume of hexahedral and prism elements in a hexdominant mesh by topological transformations. The method takes ...
Soji Yamakawa, Kenji Shimada
MOC
2002
70views more  MOC 2002»
13 years 8 months ago
Positivity preserving finite element approximation
We consider finite element operators defined on "rough" functions in a bounded polyhedron in RN . Insisting on preserving positivity in the approximations, we discover a...
Ricardo H. Nochetto, Lars B. Wahlbin
MOC
2000
113views more  MOC 2000»
13 years 8 months ago
A finite element approximation for a class of degenerate elliptic equations
In this paper we exhibit a finite element method fitting a suitable geometry naturally associated with a class of degenerate elliptic equations (usually called Grushin type equatio...
Bruno Franchi, Maria Carla Tesi
SIAMNUM
2010
140views more  SIAMNUM 2010»
13 years 3 months ago
Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
Semidiscrete finite element approximation of the linear stochastic wave equation with additive noise is studied in a semigroup framework. Optimal error estimates for the determinis...
Mihály Kovács, Stig Larsson, Fardin ...
COMPUTING
2008
174views more  COMPUTING 2008»
13 years 8 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