High-order splitting finite element methods for the subdiffusion equation with limited smoothing property

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Cites Work

Unnamed Item
Unnamed Item
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
A hybridizable discontinuous Galerkin method for fractional diffusion problems
Optimal a priori estimates for higher order finite elements for elliptic interface problems
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Efficient high order algorithms for fractional integrals and fractional differential equations
Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources
A posteriori error analysis for variable-coefficient multiterm time-fractional subdiffusion equations
Pointwise-in-time a posteriori error control for time-fractional parabolic equations
Numerical Solution of the Time-Fractional Fokker--Planck Equation with General Forcing
Uniform convergence for a discontinuous Galerkin, time-stepping method applied to a fractional diffusion equation
Vector-valued Laplace Transforms and Cauchy Problems
Firedrake
Convolution quadrature time discretization of fractional diffusion-wave equations
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data
Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
On identification of memory kernels in linear theory of heat conduction
Semidiscrete Finite Element Analysis of Time Fractional Parabolic Problems: A Unified Approach
Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
FEM for time-fractional diffusion equations, novel optimal error analyses
Finite volume element method for two-dimensional fractional subdiffusion problems
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
HOW TO APPROXIMATE THE FRACTIONAL DERIVATIVE OF ORDER 1 < α ≤ 2
Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data
Numerical analysis of backward subdiffusion problems
Fractional Differential Equations
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh
A posteriori error analysis for approximations of time-fractional subdiffusion problems
Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions
Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem
High-order Time Stepping Schemes for Semilinear Subdiffusion Equations
A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations
Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
FINITE ELEMENT APPROXIMATION OF A TIME-FRACTIONAL DIFFUSION PROBLEM FOR A DOMAIN WITH A RE-ENTRANT CORNER
Total variation regularization for a backward time-fractional diffusion problem
Galerkin Finite Element Methods for Parabolic Problems
The random walk's guide to anomalous diffusion: A fractional dynamics approach
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations
Numerical Treatment and Analysis of Time-Fractional Evolution Equations

This page was built for publication: High-order splitting finite element methods for the subdiffusion equation with limited smoothing property