Publication
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Publication
I. Introduction
II. Foundations
A. The Mathematical Structure of Physical Field Theories
B. Geometric Objects and Orientation
1. Space-Time Object...
Publication
The space-time geometric structure of Maxwell’s equations is examined and a subset of them is found to define a pair of exact discrete time-stepping relations. The desirability ...
Publication
I. Introduction
II. Foundations
A. The Mathematical Structure of Physical Field Theories
B. Geometric Objects and Orientation
1. Space-Time Object...
SIAMNUM
2010
12 years 11 months ago
2010
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
PAAPP
2002
13 years 4 months ago
2002
Abstract. The performance of shared-memory (OpenMP) implementations of three different PDE solver kernels representing finite difference methods, finite volume methods, and spectra...