Zobrazeno 1 - 10
of 898
pro vyhledávání: '"Beale, J."'
We present a simple yet accurate method to compute the adjoint double layer potential, which is used to solve the Neumann boundary value problem for Laplace's equation in three dimensions. An expansion in curvilinear coordinates leads us to modify th
Externí odkaz:
http://arxiv.org/abs/2310.00188
Autor:
Beale, J. Thomas, Tlupova, Svetlana
We present a method for computing nearly singular integrals that occur when single or double layer surface integrals, for harmonic potentials or Stokes flow, are evaluated at points nearby. Such values could be needed in solving an integral equation
Externí odkaz:
http://arxiv.org/abs/2309.14169
Publikováno v:
Involve 15 (2022) 515-524
Many problems in fluid dynamics are effectively modeled as Stokes flows - slow, viscous flows where the Reynolds number is small. Boundary integral equations are often used to solve these problems, where the fundamental solutions for the fluid veloci
Externí odkaz:
http://arxiv.org/abs/2108.13330
Autor:
Beale, J. Thomas
A method for computing singular or nearly singular integrals on closed surfaces was presented by J. T. Beale, W. Ying, and J. R. Wilson [Comm. Comput. Phys. 20 (2016), 733--753, arXiv:1508.00265] and applied to single and double layer potentials for
Externí odkaz:
http://arxiv.org/abs/2004.06686
Akademický článek
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Autor:
Beale, J. Thomas
Publikováno v:
SIAM J. Sci. Comput. 42 (2020), pp. A1052-A1070
We present a general purpose method for solving partial differential equations on a closed surface, based on a technique for discretizing the surface introduced by Wenjun Ying and Wei-Cheng Wang [J. Comput. Phys. 252 (2013), pp. 606-624] which uses p
Externí odkaz:
http://arxiv.org/abs/1908.01796
Akademický článek
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Autor:
Tlupova, Svetlana, Beale, J. Thomas
Publikováno v:
J. Comput. Phys. 386 (2019), 568-584
We present a numerical method for computing the single layer (Stokeslet) and double layer (stresslet) integrals in Stokes flow. The method applies to smooth, closed surfaces in three dimensions, and achieves high accuracy both on and near the surface
Externí odkaz:
http://arxiv.org/abs/1808.02177
Autor:
Beale, J. Thomas, Ying, Wenjun
Publikováno v:
Numer. Math. 141 (2019), 605-626
Several important problems in partial differential equations can be formulated as integral equations. Often the integral operator defines the solution of an elliptic problem with specified jump conditions at an interface. In principle the integral eq
Externí odkaz:
http://arxiv.org/abs/1803.08532
Publikováno v:
Commun. Comput. Phys. 20 (2016), 733-53
We present a simple, accurate method for computing singular or nearly singular integrals on a smooth, closed surface, such as layer potentials for harmonic functions evaluated at points on or near the surface. The integral is computed with a regulari
Externí odkaz:
http://arxiv.org/abs/1508.00265