Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping
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DOI: 10.1007/s10543-020-00820-5
Abstract: The numerical method of Helsing and co-workers evaluates Laplace and related layer potentials generated by a panel (composite) quadrature on a curve, efficiently and with high-order accuracy for arbitrarily close targets. Since it exploits complex… read more here.
Keywords: singular line; quadrature; singularity; quadrature nearly ... See more keywords
Consistent Quantization of Nearly Singular Superconducting Circuits
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DOI: 10.1103/physrevx.13.021017
Abstract: The theory of circuit quantum electrodynamics has successfully analyzed superconducting circuits on the basis of the classical Lagrangian, and the corresponding quantized Hamiltonian, describing these circuits. In many simplified versions of these networks, the modeling… read more here.
Keywords: superconducting circuits; theory; consistent quantization; nearly singular ... See more keywords
An adaptive binary-tree subdivision method for evaluation of nearly singular integrals in 3D BEM
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DOI: 10.1108/ec-11-2022-0670
Abstract: PurposeThe purpose of this paper is to present an adaptive binary-tree element subdivision method (BTSM) for the evaluation of nearly singular integrals in three-dimensional boundary element method, which can facilitate automatic and high-quality patch generation.Design/methodology/approachIn… read more here.
Keywords: subdivision; nearly singular; singular integrals; adaptive binary ... See more keywords