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» Approximation by quadrilateral finite elements
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IMR
2003
Springer
15 years 4 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»
14 years 11 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»
14 years 11 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»
14 years 6 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 ...
109
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COMPUTING
2008
174views more  COMPUTING 2008»
14 years 11 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