An isoparametric finite element method for time-fractional parabolic equation on 2D curved domain
DOI10.1007/S10915-024-02556-8zbMATH Open1541.65105MaRDI QIDQ6536833
Hui Liang, Minghui Song, Zhixin Liu
Publication date: 14 May 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
convergence analysisnumerical quadraturetime-fractional parabolic equationcurved domainisoparametric finite element methodL1 formula
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) 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) Numerical quadrature and cubature formulas (65D32) Singularity in context of PDEs (35A21)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A new difference scheme for the time fractional diffusion equation
- Two mixed finite element methods for time-fractional diffusion equations
- High-order finite element methods for time-fractional partial differential equations
- Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- A direct discontinuous Galerkin method for a time-fractional diffusion equation with a Robin boundary condition
- Optimal \(L^\infty (L^2)\) error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem
- 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
- The finite difference/finite volume method for solving the fractional diffusion equation
- Efficiency of nonparametric finite elements for optimal-order enforcement of Dirichlet conditions on curvilinear boundaries
- An isoparametric mixed finite element method for approximating a class of fourth-order elliptic problem
- A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients
- A virtual element method for the wave equation on curved edges in two dimensions
- Weak Galerkin finite element with curved edges
- A finite element approximation for a class of Caputo time-fractional diffusion equations
- Accuracy enhancement for non-isoparametric finite-element simulations in curved domains; application to fluid flow
- Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data
- Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation
- Optimal spatial \(H^1\)-norm analysis of a finite element method for a time-fractional diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics
- A fully discrete difference scheme for a diffusion-wave system
- Interpolation theory over curved elements, with applications to finite element methods
- A weak Galerkin finite element method for high dimensional time-fractional diffusion equation
- The virtual element method for the time fractional convection diffusion reaction equation with non-smooth data
- The finite element solution of elliptic and parabolic equations using simplicial isoparametric elements
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
- External finite element approximations of eigenvalue problems
- Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients
- 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
- Finite volume element method for two-dimensional fractional subdiffusion problems
- Curved Elements in the Finite Element Method. I
- A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains
- A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
- The Virtual Element Method with curved edges
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- A second‐order isoparametric element method to solve plane linear elastic problem
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