Work

Adaptive Quarklet Schemes: Tree Approximation and Optimal Convergence

Year: 2024

Type: dissertation

Abstract: 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.

Source: open_UMR Marburg DSpace 10.0 (Philipps-Universität Marburg)

DOI: 10.17192/z2024.0477

Author: Vogel, Dorian

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6906494753

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