Application of Mixed Quadrature Rule on Electromagnetic Field Problems
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DOI: 10.1007/s10598-017-9363-4
Abstract: This paper is concerned with the problem of determining the approximate solution of real definite integrals by means of the mixed quadrature rule, which has been implemented with the quasi-type singular integral of electromagnetic field… read more here.
Keywords: quadrature rule; mixed quadrature; electromagnetic field; field problems ... See more keywords
An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics
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DOI: 10.1016/j.cma.2018.08.016
Abstract: We present a meshfree quadrature rule for compactly supported non-local integro-differential equations (IDEs) with radial kernels. We apply this rule to develop a strong-form meshfree discretization of a peridynamic solid mechanics model that requires no… read more here.
Keywords: meshfree quadrature; rule; asymptotically compatible; quadrature rule ... See more keywords
Numerical solution for system of nonlinear Fredholm–Hammerstein integral equations based on hybrid Bernstein Block-Pulse functions with the Gauss quadrature rule
Sign Up to like & getrecommendations! Published in 2018 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557118500894
Abstract: This work provides an efficient method for solving system of nonlinear Fredholm–Hammerstein integral equations. The propose method approximates the unknown function with hybrid Bernstein Block-Pulse functions (HBPF). In order to do this, we apply these… read more here.
Keywords: system; hybrid bernstein; bernstein block; quadrature rule ... See more keywords