Figure 6From: The Dirichlet problem for the Laplace equation in supershaped annuli Boundary behavior along ∂ − A ( a ) and ∂ + A ( b ) of the partial sum U N (ϱ,ϑ) of order N=16 representing the solution of the Dirichlet problem for the Laplace equation in the supershaped annulus A described by the Gielis formula with parameters k x − = k y − =2 , d x − =1/2 , d y − =1 , ν x − =2 , ν y − = ν 0 − =4 , k x + = k y + = k + =4 , d x + = d y + =7/4 , and ν x + = ν y + =2(1− ν 0 + log 2 cos π k + ) , ν 0 + →+∞ . Back to article page