A unified framework for Trefftz-like discretization methods
| Autor: | Lederer, Philip L., Lehrenfeld, Christoph, Stocker, Paul, Voulis, Igor |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This paper presents a unifying framework for Trefftz-like methods, which allows the analysis and construction of discretization methods based on the decomposition into, and coupling of, local and global problems. We apply the framework to provide a comprehensive error analysis for the Embedded Trefftz discontinuous Galerkin method, for a wide range of second-order scalar elliptic partial differential equations and a scalar reaction-advection problem. We also analyze quasi-Trefftz methods with our framework and build bridges to other methods that are similar in virtue. Comment: 43 pages, 6 figures |
| Databáze: | arXiv |
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