Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113441
Abstract: Abstract In this paper, we study the construction of quadrature rules for the approximation of hypersingular integrals that occur when 2D Neumann or mixed Laplace problems are numerically solved using Boundary Element Methods. In particular… read more here.
Keywords: quadrature; spline quasi; hypersingular integrals; quasi interpolation ... See more keywords
Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11040150
Abstract: The article is devoted to the issue of construction of an optimal with respect to order passive algorithms for evaluating Cauchy and Hilbert singular and hypersingular integrals with oscillating kernels. We propose a method for… read more here.
Keywords: singular hypersingular; oscillating kernels; quadrature formulas; hypersingular integrals ... See more keywords