Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution
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Publication:1998431
DOI10.1016/j.matcom.2020.12.007OpenAlexW3113192603MaRDI QIDQ1998431
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.12.007
discontinuous Galerkin methodtriangular elementrectangular elementL1 schemetime-fractional convection equation
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx)
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Cites Work
- Unnamed Item
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- Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems
- The discontinuous Galerkin finite element method for fractional cable equation
- A second-order accurate numerical method for a fractional wave equation
- A hybridizable discontinuous Galerkin method for fractional diffusion problems
- On the fractional Adams method
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A direct discontinuous Galerkin method for a time-fractional diffusion equation with a Robin boundary condition
- DPG method with optimal test functions for a fractional advection diffusion equation
- A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
- Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation
- Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems
- The discontinuous Galerkin finite element method for Caputo-type nonlinear conservation law
- Analysis of local discontinuous Galerkin method for time-space fractional sine-Gordon equations
- Conservative local discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction
- An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension
- Finite difference/spectral approximation for a time-space fractional equation on two and three space dimensions
- Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation
- Optimal stabilization and time step constraints for the forward Euler-local discontinuous Galerkin method applied to fractional diffusion equations
- A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation
- Modeling and computing of fractional convection equation
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: mathematical analysis
- Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
- Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes
- A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis
- Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
- Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations
- Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems
- Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
- Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations
- FEM for time-fractional diffusion equations, novel optimal error analyses
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations
- High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- A posteriori error estimator based on derivative recovery for the discontinuous Galerkin method for nonlinear hyperbolic conservation laws on Cartesian grids
- Local Discontinuous Galerkin methods for fractional diffusion equations
- Variational formulation for the stationary fractional advection dispersion equation
- Variational formulation of problems involving fractional order differential operators