Datensatz Zitierlink: 
http://hdl.handle.net/20.500.12708/190879
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Titel: 
Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1D
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Zitat: 
Bahr, B., Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, C. (2023). Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1D. In J. M. Melenk, I. Perugia, J. Schöberl, & C. Schwab (Eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 : Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021 (pp. 291–306). Springer. https://doi.org/10.1007/978-3-031-20432-6_18
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Verlags-DOI: 
10.1007/978-3-031-20432-6_18
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Publikationstyp: 
Konferenzbeitrag - Full-Paper Contribution
de
Sprache: 
Englisch
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Autor_innen: 
Bahr, Björn 
Faustmann, Markus 
Marcati, Carlo 
Melenk, Jens Markus 
Schwab, Christoph 
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Organisations­einheit: 
E101-02-1 - Forschungsgruppe Computational Mathematics 
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Erschienen in: 
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 : Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021 
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ISBN: 
978-3-031-20432-6
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Band: 
137
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Datum (veröffentlicht): 
2023
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Veranstaltungs­name: 
ICOSAHOM Conference 2021 
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Veranstaltungs­zeitraum: 
12-Jul-2021 - 16-Jul-2021
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Veranstaltungs­ort: 
Wien, Österreich
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Umfang: 
16
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Verlag: 
Springer, Cham
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Keywords: 
hp-FEM; fractional diffusion
en
Abstract: 
We prove weighted analytic regularity for the solution of the integral fractional Poisson problem on bounded intervals with analytic right-hand side. Based on this regularity result, we prove exponential convergence of the hp-FEM on geometric boundary-refined meshes.
en
Forschungs­schwerpunkte: 
Mathematical and Algorithmic Foundations: 80%
Modeling and Simulation: 20%
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Wissenschafts­zweig: 
1010 - Mathematik: 100%
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Enthalten in den Sammlungen:
Conference Paper

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