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» Approximation by quadrilateral finite elements
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AMC
2005
132views more  AMC 2005»
13 years 7 months ago
Higher order isoparametric finite element solution of Stokes flow
A finite element method of the penalization type, using higher order shape functions with rectangular elements, is presented for the solution of the Stokes flow. The fluid is visc...
R. Eid
MOC
2000
124views more  MOC 2000»
13 years 7 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
SIAMSC
2008
167views more  SIAMSC 2008»
13 years 7 months ago
New Finite Elements for Large-Scale Simulation of Optical Waves
We present a new method to simulate optical waves in large geometries. This method is based on newly developed finite elements, so-called Trigonometric Finite Wave Elements (TFWEs)...
Britta Heubeck, Christoph Pflaum, Gunther Steinle
AMC
2005
154views more  AMC 2005»
13 years 7 months ago
Solving Laplacian problems with boundary singularities: a comparison of a singular function boundary integral method with the p/
We solve a Laplacian problem over an L-shaped domain using a singular function boundary integral method as well as the p/hp finite element method. In the former method, the soluti...
Miltiades Elliotis, Georgios Georgiou, Christos Xe...
MOC
2002
151views more  MOC 2002»
13 years 7 months ago
Mixed finite element methods for unilateral problems: convergence analysis and numerical studies
In this paper, we propose and study different mixed variational methods in order to approximate with finite elements the unilateral problems arising in contact mechanics. The discr...
Patrice Coorevits, Patrick Hild, Khalid Lhalouani,...