This example is exactly the same as the 2D Laplace-Beltrami equation on curve y=sqrt(x) 2 posts ago.
The only difference is instead of Neumann boundary condition at the two edges of the curve, I used Dirichlet BC. This is slightly cheating since I did not actually fit the mesh at the right side boundary, instead assigning correct values to mesh nodes for which curve arclength > 1. In figure below these nodes are shown in green.
Convergence:
The only difference is instead of Neumann boundary condition at the two edges of the curve, I used Dirichlet BC. This is slightly cheating since I did not actually fit the mesh at the right side boundary, instead assigning correct values to mesh nodes for which curve arclength > 1. In figure below these nodes are shown in green.
Convergence:
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