BibTex format
@inproceedings{Bluck:2005,
author = {Bluck, MJ and Walker, SP},
pages = {853--856},
title = {Algebraic topology and computational electromagnetics},
year = {2005}
}
Publications
Citation
RIS format (EndNote, RefMan)
TY - CPAPER
AB - In this paper we discuss the application of algebraic topology to computational electromagnetics. Basic homology and cohomology theory is explained in the context of numerical schemes. We will show how these concepts influence the choice of discrete spaces for both finite and boundary element methods. Spaces on simplicial manifolds (triangles, tetrahedra), cartesian product manifolds (quadrilaterals, hexahedra) and prismatic manifolds are easily constructed in the light of these topological considerations. In particular, Nedelec, Raviart-Thomas, Whitney and Rao-Wilton-Glisson type function spaces are easily obtained as special cases. This approach is not restricted to affine manifolds with results being equally valid for the general curvilinear case. In general an adjoint form of the commuting de Rham diagram is shown to hold and how this property affect convergence is discussed.
AU - Bluck,MJ
AU - Walker,SP
EP - 856
PY - 2005///
SP - 853
TI - Algebraic topology and computational electromagnetics
ER -