Finite element approximations of the nonhomogeneous fractional Dirichlet problem-Reference-Cited by-同舟云学术

Finite element approximations of the nonhomogeneous fractional Dirichlet problem

Published:2018-05-03 Issue: Volume: Page:
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Acosta Gabriel¹,Borthagaray Juan Pablo¹²,Heuer Norbert³

Affiliation:

1. IMAS-CONICET and Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina

2. Department of Mathematics, University of Maryland, College Park, MD, USA

3. Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Santiago, Chile

Funder

Comisión Nacional de Investigación Científica y Tecnológica

National Scientific and Technical Research Council

Agencia Nacional de Promoción Científica y Tecnológica

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

http://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/dry023/24767088/dry023.pdf

Reference33 articles.

1. A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian;Acosta;Comput. Math. Appl.,2017

2. A fractional Laplace equation: regularity of solutions and finite element approximations;Acosta;SIAM J. Numer. Anal.,2017

3. Acosta, G., Borthagaray, J., Bruno, O. & Maas, M. (2018) Regularity theory and high order numerical methods for the (1D)-fractional Laplacian. Math. Comp., 87, 1821–1857.

4. Aspects of an adaptive finite element method for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver;Ainsworth,2017

5. Towards an efficient finite element method for the integral fractional Laplacian on polygonal domains.;Ainsworth,2017

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. FEM-BEM coupling in fractional diffusion;IMA Journal of Numerical Analysis;2024-06-06

2. A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity;SIAM Journal on Numerical Analysis;2022-11-23

3. A Wavelet-Based Approach for the Simulation and Optimal Control of NonLocal Operator Equations;SIAM Journal on Scientific Computing;2022-08

4. Approximation of fractional harmonic maps;IMA Journal of Numerical Analysis;2022-07-16

5. Local Convergence of the FEM for the Integral Fractional Laplacian;SIAM Journal on Numerical Analysis;2022-05-12