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Space-Time Adaptive Wavelet Discretization of Nonlinear Parabolic Problems
| Project Leader: | Prof. Dr. Ch. Schwab |
| Researchers: |
Roman Andreev (Seminar for Applied Mathematics, ETH Zurich) Dr. Rafaela Guberovic (Seminar for Applied Mathematics, ETH Zurich) Dr. Markus Hansen (Seminar for Applied Mathematics, ETH Zurich) |
Date
Starting date: October 2009
Description
For nonlinear parabolic equations posed in a Gelfand triple we construct stable sparse approximation schemes which yield efficient numerical algorithms. These algorithms make use of a priori and a posteriori adaptivity, for instance in the context of a wavelet finite element method. Particular attention is paid to spatial operators in divergence form with nonseparable coefficients. Singularities arising from the geometry of the space-time cylinder are addressed.
Funding
- SNF grant PDFMP2-127034/1
- ERC AdG grant STAHDPDE 247277
References
- Ch. Schwab and R. Stevenson, "Space-time adaptive wavelet methods for parabolic evolution problems", Math. Comp., 79 (267), pp. 1293-1318, 2009
http://www.ams.org/journals/mcom/2009-78-267/S0025-5718-08-02205-9/home.html
Contacts
Prof. Christoph Schwab
Roman Andreev
Dr. Rafaela Guberovic
Dr. Markus Hansen
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