A Fourier Continuation Method for the Solution of Elliptic Eigenvalue Problems in General Domains

Figure 2

Decomposition of simple geometries: (a) the unit square, decomposed into two overlapping rectangles; (b) the unit disk, decomposed into eight overlapping sections of an annulus and a square centered at the origin. These examples demonstrate the usefulness of domain decomposition to avoid difficulties in mapping entire domains.

(a)

(b)