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Multiscale Flow Simulation by Adaptive Finite Volume Particle Methods
Author(s) -
Jürgens Markus
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510361
Subject(s) - tikhonov regularization , discretization , finite volume method , wavelet , mathematics , piecewise , representation (politics) , inverse problem , heat equation , piecewise linear function , flow (mathematics) , mathematical optimization , particle (ecology) , mathematical analysis , computer science , mechanics , physics , geometry , artificial intelligence , oceanography , politics , political science , law , geology
Abstract We present a discretisation of parabolic problems in the time direction based on piecewise linear wavelets. This discretisation of the solution admits a sparse representation, i.e. few coef.cients have to be stored to achieve a reasonable close approximation to the exact solution. To demonstrate the advantages of this method we provide numerical experiments for Tikhonov regularisation of the inverse heat equation. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)