Record link: 
http://hdl.handle.net/20.500.12708/190879
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Title: 
Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1D
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Citation: 
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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Publisher DOI: 
10.1007/978-3-031-20432-6_18
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Publication Type: 
Inproceedings - Full-Paper Contribution
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Language: 
English
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Authors: 
Bahr, Björn 
Faustmann, Markus 
Marcati, Carlo 
Melenk, Jens Markus 
Schwab, Christoph 
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Organisational Unit: 
E101-02-1 - Forschungsgruppe Computational Mathematics 
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Published 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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Volume: 
137
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Date (published): 
2023
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Event name: 
ICOSAHOM Conference 2021 
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Event date: 
12-Jul-2021 - 16-Jul-2021
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Event place: 
Wien, Austria
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Number of Pages: 
16
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Publisher: 
Springer, Cham
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Keywords: 
hp-FEM; fractional diffusion
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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.
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Research Areas: 
Mathematical and Algorithmic Foundations: 80%
Modeling and Simulation: 20%
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Science Branch: 
1010 - Mathematik: 100%
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