High-Order Embedded Finite Difference Schemes for Initial Boundary Value Problems on Time Dependent Irregular Domains

This paper considers a family of spatially discrete approximations, including boundary treatment, to initial boundary value problems in evolving bounded domains. The presented method is based on the Cartesian grid embedded Finite-Difference method, which was initially introduced by Abarbanel and Dit...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 39; no. 3; pp. 394 - 440
Main Authors:	Ditkowski, Adi, Harness, Yuval
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.06.2009 Springer Nature B.V
Subjects:	Algorithms Approximation Boundaries Boundary conditions Boundary value problems Computational Mathematics and Numerical Analysis Dirichlet problem Finite difference method Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical models Mathematics Mathematics and Statistics Solidification Theoretical Time dependence Embedded finite difference Diffusion equation Complex geometry Heat equation Initial boundary value problems Moving boundaries
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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