Harmonic solutions of a mixed boundary problem arising in the modeling of macromolecular transport into vessel walls

Balsim, Igor; Neimark, Mathew A.; Rumschitzki, David S.

doi:10.1016/j.camwa.2008.11.020

Cited by 3 publications

(1 citation statement)

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“…The perhaps most well known application of such boundary conditions is Newton's law of cooling in heat transfer, but there are others in a variety of fields, for example robotic motion [7], chemical vapor deposition modeling [16], and modeling of macromolecular transport in medicine [3].…”

Section: Introductionmentioning

confidence: 99%

A Robust and Accurate Solver of Laplace's Equation with General Boundary Conditions on General Domains in the Plane

Ojala¹

2012

JCM

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A robust and accurate solver of Laplace's equation with general boundary conditions on general domains in the planeOjala, Rikard General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal AbstractA robust and general solver for Laplace's equation on the interior of a simply connected domain in the plane is described and tested. The solver handles general piecewise smooth domains and Dirichlet, Neumann, and Robin boundary conditions. It is based on an integral equation formulation of the problem. Difficulties due to changes in boundary conditions and corners, cusps, or other examples of non-smoothness of the boundary are handled using a recent technique called recursive compressed inverse preconditioning. The result is a rapid and very accurate solver which is general in scope, its performance is demonstrated via some challenging numerical tests.Mathematics subject classification: 65R20, 65E05.

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Section: Introductionmentioning

confidence: 99%