Two-grid finite element methods for nonlinear time-fractional parabolic equations
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Publication:2138403
DOI10.1007/s11075-021-01205-7OpenAlexW3206599815MaRDI QIDQ2138403
Jie Zhou, Xing Yao, Wan-Sheng Wang
Publication date: 11 May 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-021-01205-7
stabilityfinite element methoderror estimatetwo-grid algorithmGrönwall inequalityL1 methodnonlinear time-fractional parabolic equation
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Two-grid finite element methods for nonlinear time fractional variable coefficient diffusion equations ⋮ A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional \(\alpha\)-robust error estimates ⋮ \(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations ⋮ Two-grid fully discrete finite element algorithms on temporal graded meshes for nonlinear multi-term time-fractional diffusion equations with variable coefficient ⋮ Numerical analysis of two-dimensional unsaturated soil water flow problems with two-grid finite element methods
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Cites Work
- Unnamed Item
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- Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters
- Postprocessing mixed finite element methods for solving Cahn-Hilliard equation: methods and error analysis
- Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- A parareal method for time-fractional differential equations
- A two-grid method with expanded mixed element for nonlinear reaction-diffusion equations
- Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
- A priori estimates for solutions of boundary value problems for fractional-order equations
- A two-grid method based on Newton iteration for the Navier-Stokes equations
- Two-grid finite volume element methods for semilinear parabolic problems
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A direct discontinuous Galerkin method for a time-fractional diffusion equation with a Robin boundary condition
- Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
- A two-grid block-centered finite difference method for the nonlinear time-fractional parabolic equation
- National economies in state-space of fractional-order financial system
- Local and parallel finite element algorithms for eigenvalue problems
- Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
- Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem
- Superconvergence error estimate of a finite element method on nonuniform time meshes for reaction-subdiffusion equations
- Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature
- On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis
- A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms
- Two-grid methods for semilinear time fractional reaction diffusion equations by expanded mixed finite element method
- A discrete comparison principle for the time-fractional diffusion equation
- Optimal \(H^1\) spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation
- Sharp \(H^1\)-norm error estimate of a cosine pseudo-spectral scheme for 2D reaction-subdiffusion equations
- Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory
- Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations
- Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
- Optimal spatial \(H^1\)-norm analysis of a finite element method for a time-fractional diffusion equation
- Exact solutions and numerical study of time fractional Burgers' equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms
- An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
- Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter
- Long-time behavior of the two-grid finite element method for fully discrete semilinear evolution equations with positive memory
- Two-level stabilized finite element methods for the steady Navier-Stokes problem
- Two-Grid method for nonlinear parabolic equations by expanded mixed finite element methods
- A Kernel Compression Scheme for Fractional Differential Equations
- Acceleration of a two-grid method for eigenvalue problems
- A Fast Time Stepping Method for Evaluating Fractional Integrals
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
- A Two-Level Method with Backtracking for the Navier--Stokes Equations
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- Two-grid finite element formulations of the incompressible Navier-Stokes equations
- A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
- A two-grid discretization scheme for eigenvalue problems
- Numerical Analysis of Nonlinear Subdiffusion Equations
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
- A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis
- A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- Numerical Approximation of Semilinear Subdiffusion Equations with Nonsmooth Initial Data
- A higher order difference method for singularly perturbed parabolic partial differential equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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