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Minimal example of finite element method for the spectral fractional Laplacian in FEniCSx

Version 3 2022-02-01, 17:24
Version 2 2022-01-28, 16:53
Version 1 2022-01-28, 14:49
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posted on 2022-02-01, 17:24 authored by Raphael BulleRaphael Bulle, Jack S. HaleJack S. Hale
A minimal example of adaptive finite element method for the two-dimensional spectral fractional Laplacian based on the FEniCSx library FEniCS-Error-Estimation (FEniCS-EE) is provided.

FEniCS-EE is an open source library showing how hierarchical estimators of Bank-Weiser type can be implemented using the FEniCS Project finite element solvers DOLFIN and DOLFINx (https://fenicsproject.org).

The code and Docker images archived here was submitted with the pre-print of the paper.

Please visit https://github.com/rbulle/fenics-error-estimation and https://github.com/jhale/fenicsx-error-estimation for the latest versions

Funding

University of Luxembourg ASSIST

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