Fast \(Q1\) finite element for two-dimensional integral fractional Laplacian
DOI10.1016/j.amc.2022.127757OpenAlexW4311818264MaRDI QIDQ2700397
Hu Li, Ting Deng, Jin Huang, Yi Yang, Yi-Fei Wang
Publication date: 21 April 2023
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2022.127757
error analysismatrix-vector productToeplitz structureintegral fractional Laplacian\( Q1\)-elementFFT-based fast algorithm
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Miscellaneous topics in partial differential equations (35Rxx)
Cites Work
- Nonlocal diffusion and applications
- The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
- Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Numerical approximation of the fractional Laplacian via \(hp\)-finite elements, with an application to image denoising
- Fractional quantum mechanics and Lévy path integrals
- Effect of surface slip on the relative motion and collision efficiency of slippery spherical particles
- A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem
- A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
- A comparative study on nonlocal diffusion operators related to the fractional Laplacian
- Reformulation of elasticity theory for discontinuities and long-range forces
- Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications
- On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for the fractional Allen-Cahn equation
- Fractional centered difference scheme for high-dimensional integral fractional Laplacian
- On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes
- Finite element simulation and efficient algorithm for fractional Cahn-Hilliard equation
- Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
- Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises
- From the long jump random walk to the fractional Laplacian
- A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
- A Family of Block Preconditioners for Block Systems
- Unbiased ‘walk-on-spheres’ Monte Carlo methods for the fractional Laplacian
- Nonlocal Modeling, Analysis, and Computation
- The Fractional Laplacian
- Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations
- Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach
- A Fast Finite Element Method for Space-Fractional Dispersion Equations on Bounded Domains in $\mathbb{R}^2$
- A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models
- Numerical methods for fractional diffusion
- Unnamed Item
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