Adaptive Quarklet Schemes: Tree Approximation and Optimal Convergence
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Philipps-Universität Marburg
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This thesis is concerned with so-called quarklets and their properties. In particular, we investigate near-optimal approximations of explicitly and implicitly given L_2-functions with hp tree structures based on quarklets. We develop several adaptive methods in the context of partial differential equations and demonstrate their high order convergence rates in numerical experiments.
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This item has been published with the following license: In Copyright