Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1D

Author:

Bahr Björn,Faustmann Markus,Marcati Carlo,Melenk Jens Markus,Schwab Christoph

Publisher

Springer International Publishing

Reference24 articles.

1. Acosta, G., Borthagaray, J.: A fractional Laplace equation: regularity of solutions and finite element approximations. SIAM J. Numer. Anal. 55(2), 472–495 (2017)

2. Apel, T., Melenk, J.: Interpolation and quasi-interpolation in h- and hp-version finite element spaces (extended version). Tech. Rep. 39, Institute of Analysis and Scientific Computing, TU Wien (2015). http://www.asc.tuwien.ac.at/preprint/2015/asc39x2015.pdf

3. Bahr, B., Faustmann, M., Melenk, J.M.: An implementation of hp-FEM for the fractional Laplacian. In preparation

4. Banjai, L., Melenk, J.M., Nochetto, R.H., Otárola, E., Salgado, A.J., Schwab, C.: Tensor FEM for spectral fractional diffusion. Found. Comput. Math. 19(4), 901–962 (2019)

5. Bonito, A., Borthagaray, J., Nochetto, R., Otárola, E., Salgado, A.: Numerical methods for fractional diffusion. Comput. Vis. Sci. 19(5–6), 19–46 (2018)

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