An adaptive wavelet viscosity method for hyperbolic conservation laws |
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| Authors: | Daniel Castaño Díez Max Gunzburger Angela Kunoth |
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| Institution: | 1. EMBL Heidelberg, Meyerhofstra?e 1, 69117 Heidelberg, Germany;2. School of Computational Science, Florida State University, Tallahassee, Florida 32306‐4120;3. Institut für Angewandte Mathematik und Institut für Numerische Simulation, Universit?t Bonn, Wegelerstr. 6, 53115 Bonn, Germany |
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| Abstract: | We extend the multiscale finite element viscosity method for hyperbolic conservation laws developed in terms of hierarchical finite element bases to a (pre‐orthogonal spline‐)wavelet basis. Depending on an appropriate error criterion, the multiscale framework allows for a controlled adaptive resolution of discontinuities of the solution. The nonlinearity in the weak form is treated by solving a least‐squares data fitting problem. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008 |
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| Keywords: | wavelet methods hyperbolic conservation laws adaptive methods |
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