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» Symmetric Matrix Fields in the Finite Element Method
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SIAMSC
2010
144views more  SIAMSC 2010»
13 years 6 months ago
An Exponentially Convergent Nonpolynomial Finite Element Method for Time-Harmonic Scattering from Polygons
In recent years nonpolynomial finite element methods have received increasing attention for the efficient solution of wave problems. As with their close cousin the method of parti...
A. H. Barnett, Timo Betcke
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
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

Publication
338views
12 years 6 months ago
A Reference Discretization Strategy for the Numerical Solution of 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
COMPUTING
2006
126views more  COMPUTING 2006»
13 years 8 months ago
Algebraic Multigrid Based on Computational Molecules, 1: Scalar Elliptic Problems
We consider the problem of splitting a symmetric positive definite (SPD) stiffness matrix A arising from finite element discretization into the sum of edge matrices thereby assumi...
J. K. Kraus, Josef Schicho