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Error estimate based adaptive quadrature for layer potentials over axisymmetric surfaces

Error estimate based adaptive quadrature for layer potentials over axisymmetric surfaces

Layer potentials represent solutions to partial differential equations in an integral equation formulation. When numerically evaluating layer potentials at evaluation points close to the domain boundary, specialized quadrature techniques are required for accuracy because of rapid variations in the integrand. To efficiently achieve a specified error tolerance, we introduce an …