Remarks on the accuracy of algorithms for motion by mean curvature in bounded domains

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dc.contributor.author Mishuris, Gennady
dc.contributor.author Cox, Simon
dc.date.accessioned 2008-04-22T15:55:40Z
dc.date.available 2008-04-22T15:55:40Z
dc.date.issued 2008-04-22
dc.identifier.citation Mishuris , G & Cox , S 2008 ' Remarks on the accuracy of algorithms for motion by mean curvature in bounded domains ' . en
dc.identifier.other PURE: 85243
dc.identifier.other dspace: 2160/559
dc.identifier.uri http://hdl.handle.net/2160/559
dc.description.abstract Simulations of motion by mean curvature in bounded domains, with applications to bubble motionand grain growth, rely upon boundary conditions that are only approximately compatible with the equation of motion. Three closed form solutions for the problem exist, governing translation, rotation and expansion of a single interface [1], providing the only benchmarks for algorithm verification. We derive new identities for the translation solution. Then we estimate the accuracy of a straightforward algorithm to recover the analytical solution for different values of the velocity V given along the boundary. As expected, for large V the error can reach unacceptable levels especially near the boundary. We discuss factors influencing the accuracy and propose a simple modification of the algorithm which improves the computational accuracy. en
dc.language.iso eng
dc.title Remarks on the accuracy of algorithms for motion by mean curvature in bounded domains en
dc.type Text en
dc.type.publicationtype Working paper en
dc.contributor.institution Institute of Mathematics & Physics (ADT) en


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