A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model (Q2044099)

scientific article; zbMATH DE number 7378118

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English	A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model	scientific article; zbMATH DE number 7378118

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instance of

scholarly article

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title

A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model (English)

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Advances in Computational Mathematics

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publication date

4 August 2021

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zbMATH Keywords

modified method of characteristics

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finite element method

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time-fractional

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mobile/immobile advection diffusion model

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error estimate

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describes a project that uses

FODE

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10444-021-09867-6

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cites work

The Mathematical Theory of Finite Element Methods

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A two-grid characteristic finite volume element method for semilinear advection-dominated diffusion equations

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A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations

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Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations

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Numerical simulation for conservative fractional diffusion equations by an expanded mixed formulation

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Characteristic-nonconforming finite-element methods for advection-dominated diffusion problems

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A Eulerian–Lagrangian control volume method for solute transport with anomalous diffusion

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Local Discontinuous Galerkin methods for fractional diffusion equations

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Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

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Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures

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The modified method of characteristics with adjusted advection

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Regularity of the solution to 1-D fractional order diffusion equations

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Q4941491

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Optimal \(L^\infty (L^2)\) error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem

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A fully discrete direct discontinuous Galerkin Method for the fractional diffusion-wave equation

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A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains

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A fast finite volume method for conservative space-time fractional diffusion equations discretized on space-time locally refined meshes

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A numerical method for solving the time variable fractional order mobile-immobile advection-dispersion model

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Q5699297

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Fractional spectral collocation method for optimal control problem governed by space fractional diffusion equation

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A mixed‐type Galerkin variational formulation and fast algorithms for variable‐coefficient fractional diffusion equations

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A two-grid block-centered finite difference method for the nonlinear time-fractional parabolic equation

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Numerical methods and analysis for a class of fractional advection-dispersion models

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A new fractional finite volume method for solving the fractional diffusion equation

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A mixed finite element method for a time-fractional fourth-order partial differential equation

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Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem

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Error analysis of a high order method for time-fractional diffusion equations

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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A second-order accurate numerical method for the two-dimensional fractional diffusion equation

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A characteristic domain decomposition and space-time local refinement method for first-order linear hyperbolic equations with interfaces

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An Optimal-Order Error Estimate for an ELLAM Scheme for Two-Dimensional Linear Advection-Diffusion Equations

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A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations

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Wellposedness and regularity of the variable-order time-fractional diffusion equations

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Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems

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Least-squared mixed variational formulation based on space decomposition for a kind of variable-coefficient fractional diffusion problems

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Numerical method for the estimation of the fractional parameters in the fractional mobile/immobile advection–diffusion model

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A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

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Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

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A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model

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Finite difference methods for the time fractional diffusion equation on non-uniform meshes

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Finite element approximation of optimal control problems governed by time fractional diffusion equation

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Time-stepping discontinuous Galerkin approximation of optimal control problem governed by time fractional diffusion equation

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Identifiers

zbMATH Open document ID

1486.65148

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Mathematics Subject Classification ID

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10.1007/S10444-021-09867-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:2044099