Singularities and treatments of elliptic boundary value problems

By Z. C. Li, Tzon-Tzer Lu. 2000

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Generalized Duffy transformation for integrating vertex singularities (2009, background): “We apply Dirichlet boundary condition u = 0 on D and Neumann boundary condition ∇u · n = g on N and all other edges.”
A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain (2011, background): “A (2011) them noted in Li & Lu (2000).”
Trefftz and Collocation Methods (2008, methodology): “Compared with the more accurate value of D0 in [291, 309], this D0 has exactly 17 significant digits, which error happens to coincide with the rounding errors of double precision.”
Treatment of singularities in the method of fundamental solutions for two-dimensional Helmholtz-type equations (2010, background): “For an excellent survey on the treatment of singularities in elliptic boundary value problems, we refer the reader to Li and Lu [23] and the references therein.”