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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
CORR
2008
Springer
78views Education» more  CORR 2008»
13 years 7 months ago
Spread Codes and Spread Decoding in Network Coding
In this paper we introduce the class of Spread Codes for the use in random network coding. Spread Codes are based on the construction of spreads in finite projective geometry. The ...
Felice Manganiello, Elisa Gorla, Joachim Rosenthal
DM
2008
117views more  DM 2008»
13 years 7 months ago
Classes of optical orthogonal codes from arcs in root subspaces
We present new constructions for (n, w, ) optical orthogonal codes (OOC) using techniques from finite projective geometry. In one case codewords correspond to (q - 1)-arcs contain...
T. L. Alderson, Keith E. Mellinger
EWC
2008
85views more  EWC 2008»
13 years 7 months ago
Geometry based pre-processor for parallel fluid dynamic simulations using a hierarchical basis
The pre-processing stage of finite element analysis of the Navier-Stokes equations is becoming increasingly important as the desire for more general boundary conditions, as well a...
Anil Kumar Karanam, Kenneth E. Jansen, Christian H...
MOC
2000
113views more  MOC 2000»
13 years 7 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