Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions

Authors:
Clark R. Dohrmann;Axel Klawonn;Olof B. Widlund
Affiliations:
crdohrm@sandia.gov;axel.klawonn@uni-due.de;widlund@cims.nyu.edu
Venue:
SIAM Journal on Numerical Analysis
Year:
2008

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Abstract

Several problems of trigonometric approximation on a hexagon and a triangle are studied using the discrete Fourier transform and orthogonal polynomials of two variables. A discrete Fourier analysis on the regular hexagon is developed in detail, from ...