Fast implementation of FEM for integral fractional Laplacian on rectangular meshes (Q6620384)

scientific article; zbMATH DE number 7927777

Language	Label	Description	Also known as
English	Fast implementation of FEM for integral fractional Laplacian on rectangular meshes	scientific article; zbMATH DE number 7927777

Statements

instance of

scholarly article

0 references

title

Fast implementation of FEM for integral fractional Laplacian on rectangular meshes (English)

0 references

0 references

0 references

0 references

0 references

Communications in Computational Physics

0 references

publication date

16 October 2024

0 references

zbMATH Keywords

integral fractional Laplacian

0 references

nonlocal/singular operators

0 references

FEM on rectangular meshes

0 references

stiffness matrix with Toeplitz structure

0 references

MaRDI profile type

Publication

0 references

cites work

Numerical approximations for a fully fractional Allen–Cahn equation

0 references

A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian

0 references

A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations

0 references

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

0 references

Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

0 references

Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis

0 references

Numerical methods for fractional diffusion

0 references

Numerical approximation of the integral fractional Laplacian

0 references

On the Convergence in $H^1$-Norm for the Fractional Laplacian

0 references

Finite element approximation for the fractional eigenvalue problem

0 references

Local Energy Estimates for the Fractional Laplacian

0 references

Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains

0 references

Hierarchical matrix approximations for space-fractional diffusion equations

0 references

A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs

0 references

An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations

0 references

An Introduction to Iterative Toeplitz Solvers

0 references

On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes

0 references

The Fractional Laplacian

0 references

Numerical methods for nonlocal and fractional models

0 references

Nonlocal Modeling, Analysis, and Computation

0 references

A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem

0 references

Computing the Ground and First Excited States of the Fractional Schrödinger Equation in an Infinite Potential Well

0 references

Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications

0 references

Local Convergence of the FEM for the Integral Fractional Laplacian

0 references

Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Victor Moll and Daniel Zwillinger

0 references

Fractional Laplacians on domains, a development of Hörmander's theory of $\mu$-transmission pseudodifferential operators

0 references

Fractional centered difference scheme for high-dimensional integral fractional Laplacian

0 references

${\mathscr{H}} $-matrix approximability of inverses of discretizations of the fractional Laplacian

0 references

Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation

0 references

What is the fractional Laplacian? A comparative review with new results

0 references

On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for the fractional Allen-Cahn equation

0 references

Q4953888

0 references

A Simple Solver for the Fractional Laplacian in Multiple Dimensions

0 references

Hitchhiker's guide to the fractional Sobolev spaces

0 references

Q3579593

0 references

Efficient spectral methods for PDEs with spectral fractional Laplacian

0 references

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains

0 references

A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations

0 references

Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains

0 references

Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains

0 references

Exploiting multilevel Toeplitz structures in high dimensional nonlocal diffusion

0 references

A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations

0 references

Identifiers

zbMATH Open document ID

1548.65412

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

10.4208/CICP.OA-2023-0011

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6620384