Title :
Time domain discrete Green´s functions for waves on simplicial networks
Author_Institution :
Sch. of Eng., Univ. of Glasgow, Glasgow, UK
Abstract :
The representation of discrete Green´s functions for propagators over arbitrary unstructured grids is examined. By constructing classes of cohomology operators based on functions of the discrete Laplacian it is shown that discrete Green´s functions are constructible in a sum-over-paths formalism.
Keywords :
Green´s function methods; Laplace equations; electromagnetic wave propagation; network theory (graphs); time-domain analysis; arbitrary unstructured grids; cohomology operator; discrete Laplacian; propagator; simplicial network; sum-over-paths formalism; time domain discrete Green´s function; waves; Finite difference methods; Green´s function methods; Laplace equations; Markov processes; Polynomials; Symmetric matrices; Time domain analysis;
Conference_Titel :
Electromagnetics in Advanced Applications (ICEAA), 2011 International Conference on
Conference_Location :
Torino
Print_ISBN :
978-1-61284-976-8
DOI :
10.1109/ICEAA.2011.6046450
