Complete Eigenpairs of Hexagonal Seven-Point Laplacian in Fourier Vectors at Half-Integral Nodes

Complete Eigenpairs of Hexagonal Seven-Point Laplacian in Fourier Vectors at Half-Integral Nodes

Year:    2018

Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 3 : pp. 569–603

Abstract

Hexagonal grid methods are valuable in two-dimensional applications involving Laplacian. The methods are investigated on problems related to standard and anisotropic Laplacian using Fourier vectors in pure, mixed and combination types. Complete (positive) eigenvalues and eigenvectors are determined explicitly in terms of various bases in a unified structure. This work is the smallest completion of some previous works.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2017-OA-0102

Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 3 : pp. 569–603

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    35

Keywords: