A finite element formulation preserving symmetric and banded diffusion stiffness matrix characteristics for fractional differential equations
From MaRDI portal
Publication:1990846
DOI10.1007/s00466-017-1492-2zbMath1446.35250OpenAlexW2766444621WikidataQ113327328 ScholiaQ113327328MaRDI QIDQ1990846
Publication date: 25 October 2018
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-017-1492-2
finite element methodfractional diffusion equationfractional advection-diffusion-reaction equationfractional weight functionsymmetric and banded diffusion stiffness matrix
Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Related Items (7)
Reproducing kernel particle method for two-dimensional time-space fractional diffusion equations in irregular domains ⋮ Local discontinuous Galerkin method based on a family of second-order time approximation schemes for fractional mobile/immobile convection-diffusion equations ⋮ A Petrov-Galerkin finite element-meshfree formulation for multi-dimensional fractional diffusion equations ⋮ Fractional SUPG finite element formulation for multi-dimensional fractional advection diffusion equations ⋮ A space-time finite element method for solving linear Riesz space fractional partial differential equations ⋮ Fast Solvers for Two-Dimensional Fractional Diffusion Equations Using Rank Structured Matrices ⋮ Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations
- A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation
- Differential operator multiplication method for fractional differential equations
- Fractional governing equations for coupled random walks
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- A high-order discontinuous Galerkin method for unsteady advection-diffusion problems
- Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts
- A high-accuracy preserving spectral Galerkin method for the Dirichlet boundary-value problem of variable-coefficient conservative fractional diffusion equations
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- A note on the finite element method for the space-fractional advection diffusion equation
- Anomalous diffusion modeling by fractal and fractional derivatives
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Space-time fractional diffusion equations and asymptotic behaviors of a coupled continuous time random walk model
- An enriched finite element method to fractional advection-diffusion equation
- A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations
- Least squares finite-element solution of a fractional order two-point boundary value problem
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- A linear finite difference scheme for generalized time fractional Burgers equation
- A new stabilized linear finite element method for solving reaction-convection-diffusion equations
- A Petrov-Galerkin finite element method for the fractional advection-diffusion equation
- High-order central difference scheme for Caputo fractional derivative
- The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium
- Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes
- Finite difference/spectral approximations for the distributed order time fractional reaction-diffusion equation on an unbounded domain
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A second-order accurate numerical approximation for the fractional diffusion equation
- Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- A Meshfree Method for the Fractional Advection-Diffusion Equation
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation
This page was built for publication: A finite element formulation preserving symmetric and banded diffusion stiffness matrix characteristics for fractional differential equations
