Finite element approximation for the fractional eigenvalue problem
arXiv:1603.0031736 citationsh-index: 14
Originality Synthesis-oriented
AI Analysis
Provides a theoretical foundation for numerical approximation of fractional eigenvalue problems, which is incremental for the numerical analysis community.
The authors develop a finite element method for the fractional Laplacian eigenvalue problem, proving convergence and convergence rates, and validating with numerical experiments.
The purpose of this work is to study a finite element method for finding solutions to the eigenvalue problem for the fractional Laplacian. We prove that the discrete eigenvalue problem converges to the continuous one and we show the order of such convergence. Finally, we perform some numerical experiments and compare our results with previous work by other authors.