A space-time finite element method for solving linear Riesz space fractional partial differential equations
type: Item
instance of: scholarly article
title: A space-time finite element method for solving linear Riesz space fractional partial differential equations
zbMATH Open document ID: 1480.65262
author: Junjiang Lai
author: Fawang Liu
author: Qingxia Liu
author: Vo V. Anh
published in: Numerical Algorithms
publication date: 2021-08-24T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7384510
zbMATH Keywords: Riesz fractional derivative
zbMATH Keywords: space-time finite element
zbMATH Keywords: error estimates
zbMATH Keywords: stability
Wikidata QID: Q115381595
MaRDI profile type: Publication
full work available at URL: s11075-020-01047-9
OpenAlex ID: W3119218394
cites work: Q5318420
cites work: Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
cites work: The Mathematical Theory of Finite Element Methods
cites work: Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations
cites work: Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
cites work: A fractional diffusion equation to describe Lévy flights
cites work: Variational formulation for the stationary fractional advection dispersion equation
cites work: Finite element method for space-time fractional diffusion equation
cites work: A continuous space-time finite element method for the wave equation
cites work: Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations
cites work: Vibration analysis of plane elasticity problems by the \(C^0\)-continuous time stepping finite element method
cites work: Vibration analysis for elastic multi-beam structures by theC0-continuous time-stepping finite element method
cites work: A finite element formulation preserving symmetric and banded diffusion stiffness matrix characteristics for fractional differential equations
cites work: Q5634306
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
cites work: Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q3141895
cites work: A second order explicit finite difference method for the fractional advection diffusion equation
cites work: Galerkin Finite Element Methods for Parabolic Problems
cites work: Combined DG--CG Time Stepping for Wave Equations
cites work: An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains
cites work: Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions
cites work: Chaos, fractional kinetics, and anomalous transport
cites work: Galerkin finite element approximation of symmetric space-fractional partial differential equations
DOI: 10.1007/S11075-020-01047-9
description: scientific article; zbMATH DE number 7384510