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pro vyhledávání: '"Klinteberg, Ludvig af"'
Autor:
Klinteberg, Ludvig af
This paper presents a quadrature method for evaluating layer potentials in two dimensions close to periodic boundaries, discretized using the trapezoidal rule. It is an extension of the method of singularity swap quadrature, which recently was introd
Externí odkaz:
http://arxiv.org/abs/2304.11865
Publikováno v:
in IEEE Robotics and Automation Letters, vol. 8, no. 5, pp. 2860-2867, May 2023
Accurate and robust extrinsic calibration is necessary for deploying autonomous systems which need multiple sensors for perception. In this paper, we present a robust system for real-time extrinsic calibration of multiple lidars in vehicle base frame
Externí odkaz:
http://arxiv.org/abs/2212.09579
Panel-based, kernel-split quadrature is currently one of the most efficient methods available for accurate evaluation of singular and nearly singular layer potentials in two dimensions. However, it can fail completely for the layer potentials belongi
Externí odkaz:
http://arxiv.org/abs/2108.00372
The quadrature error associated with a regular quadrature rule for evaluation of a layer potential increases rapidly when the evaluation point approaches the surface and the integral becomes nearly singular. Error estimates are needed to determine wh
Externí odkaz:
http://arxiv.org/abs/2012.06870
The 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 analysis, it
Externí odkaz:
http://arxiv.org/abs/1910.09899
Publikováno v:
Journal of Computational Physics, 2020
The integral equation approach to partial differential equations (PDEs) provides significant advantages in the numerical solution of the incompressible Navier-Stokes equations. In particular, the divergence-free condition and boundary conditions are
Externí odkaz:
http://arxiv.org/abs/1908.07392
Panel-based, kernel-split quadrature is currently one of the most efficient methods available for accurate evaluation of singular and nearly singular layer potentials in two dimensions. However, it can fail completely for the layer potentials belongi
Externí odkaz:
http://arxiv.org/abs/1906.07713
A parallel non-uniform fast Fourier transform library based on an 'exponential of semicircle' kernel
The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many applications include image reconstruction, data analysis, and the numerical solution of differential equations. We present FINUFFT, an efficient parallel lib
Externí odkaz:
http://arxiv.org/abs/1808.06736
Publikováno v:
SIAM J. Sci. Comput., 40(3), A1225-A1249, 2018
When solving partial differential equations using boundary integral equation methods, accurate evaluation of singular and nearly singular integrals in layer potentials is crucial. A recent scheme for this is quadrature by expansion (QBX), which solve
Externí odkaz:
http://arxiv.org/abs/1704.02219
Publikováno v:
Res. Math. Sci., 4:1, 2017
We present a spectrally accurate method for the rapid evaluation of free-space Stokes potentials, i.e. sums involving a large number of free space Green's functions. We consider sums involving stokeslets, stresslets and rotlets that appear in boundar
Externí odkaz:
http://arxiv.org/abs/1607.04808