Mixed FEM for time-fractional diffusion problems with time-dependent coefficients

DOI10.1007/S10915-020-01236-7zbMath1442.65261OpenAlexW3034077321MaRDI QIDQ2189658

Samir Karaa, Amiya K. Pani

Publication date: 16 June 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01236-7

zbMATH Keywords

time-dependent coefficientsoptimal error estimatesmixed finite element methodtime-fractional diffusion equationsemidiscrete methodsmooth and nonsmooth initial data

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11)

Related Items (2)

Galerkin type methods for semilinear time-fractional diffusion problems ⋮ Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two mixed finite element methods for time-fractional diffusion equations
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• The Galerkin finite element method for a multi-term time-fractional diffusion equation
• Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data
• Optimal error analysis of a FEM for fractional diffusion problems by energy arguments
• Time fractional diffusion: A discrete random walk approach
• Optimal error estimates of two mixed finite element methods for parabolic integro-differential equations with nonsmooth initial data
• Numerical Solution of the Time-Fractional Fokker--Planck Equation with General Forcing
• OPTIMAL ESTIMATES FOR THE SEMIDISCRETE GALERKIN METHOD APPLIED TO PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA
• Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations
• Random Walks on Lattices. II
• REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
• An Alternate Approach to OptimalL²-Error Analysis of Semidiscrete Galerkin Methods for Linear Parabolic Problems with Nonsmooth Initial Data
• Some Convergence Estimates for Semidiscrete Type Schemes for Time-Dependent Nonselfadjoint Parabolic Equations
• Error estimates for some mixed finite element methods for parabolic type problems
• On the Smoothing Property of the Galerkin Method for Parabolic Equations
• Mixed and Hybrid Finite Element Methods
• Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
• Semidiscrete Finite Element Analysis of Time Fractional Parabolic Problems: A Unified Approach
• FEM for time-fractional diffusion equations, novel optimal error analyses
• Finite volume element method for two-dimensional fractional subdiffusion problems
• 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
• Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion
• Subdiffusion with a time-dependent coefficient: Analysis and numerical solution

This page was built for publication: Mixed FEM for time-fractional diffusion problems with time-dependent coefficients