On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons

boundary element methods collocation double layer potential Sobolev norms asymptotic error estimates simple layer potential covergence integral equations of potential theory asymptotic orders of convergence piecewise linear spline trial functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Variational methods for second-order elliptic equations (35J20) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

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