A triangular hierarchical Poincaré-Steklov scheme achieves O(N log N) fast direct solves for surface PDEs with spectral accuracy on unstructured meshes.
IfΓis not a closed surface,(3.1)may also be subject to boundary conditions, e.g.,u(x) =h(x)forx∈∂Γand some functionh
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A High-Order Fast Direct Solver for Surface PDEs on Triangles
A triangular hierarchical Poincaré-Steklov scheme achieves O(N log N) fast direct solves for surface PDEs with spectral accuracy on unstructured meshes.