Math @ Duke

Publications [#243361] of J. Thomas Beale
Papers Published
 Beale, JT, A proof that a discrete delta function is secondorder accurate,
Journal of Computational Physics, vol. 227 no. 4
(2008),
pp. 21952197, Elsevier BV, ISSN 00219991 [pdf], [doi]
(last updated on 2019/04/19)
Abstract: It is proved that a discrete delta function introduced by Smereka [P. Smereka, The numerical approximation of a delta function with application to level set methods, J. Comput. Phys. 211 (2006) 7790] gives a secondorder accurate quadrature rule for surface integrals using values on a regular background grid. The delta function is found using a technique of Mayo [A. Mayo, The fast solution of Poisson's and the biharmonic equations on irregular regions, SIAM J. Numer. Anal. 21 (1984) 285299]. It can be expressed naturally using a level set function. © 2007 Elsevier Inc. All rights reserved.


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