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Exponential splitting time integration for pseudospectral methods on moving meshes

✍ Scribed by Roman Kozlov

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
978 KB
Volume
228
Category
Article
ISSN
0377-0427

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✦ Synopsis

Moving meshes are successfully used in many fields. Here we investigate how a recently proposed approach to combine the Strang splitting method for time integration with pseudospectral spatial discretization by orthogonal polynomials can be extended to include moving meshes. A double representation of a function (by coefficients of polynomial expansion and by values at the mesh nodes associated with a suitable quadrature formula) is an essential part of the numerical integration. Before numerical implementation the original PDE is transformed into a suitable form. The approach is illustrated on the linear heat transfer equation.

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