Abstract
In this article, we discuss an adaptive strategy of implementing trapezoidal rule for evaluating Hadamard finite-part integrals with kernels having different singularity. The purpose is to demonstrate cost savings and fast convergence rates engendered through adaptivity for the computation of finite-part integrals. The error indicators obtained from the a posteriori error estimate are used for mesh refinement. Numerical experiments demonstrate that the a posteriori error estimate is efficient, and there is no reliability-efficient gap.
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