Finite element approximation of fractional order elliptic boundary value problems
From MaRDI portal
Publication:495128
DOI10.1016/j.cam.2015.07.026zbMath1327.65215OpenAlexW1252767471MaRDI QIDQ495128
Béla J. Szekeres, Ferenc Izsák
Publication date: 9 September 2015
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2015.07.026
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Periodic boundary value problems for two classes of nonlinear fractional differential equations, Numerical solution of time-dependent problems with fractional power elliptic operator, Finite element methods for fractional-order diffusion problems with optimal convergence order, Optimal stabilization and time step constraints for the forward Euler-local discontinuous Galerkin method applied to fractional diffusion equations, Численное моделирование процесса аномальной диффузии на основе схемы повышенного порядка точности, Finite difference approximation of space-fractional diffusion problems: the matrix transformation method, Matrix transfer technique for anomalous diffusion equation involving fractional Laplacian
Cites Work
- Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation
- The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
- On the stability and convergence of the time-fractional variable order telegraph equation
- Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
- A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations
- Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation
- Comparison of norms \(|||f(A)-f(B)|||\) and \(|||f(|A-B|)|||\)
- Theory and practice of finite elements.
- Finite difference approximations for fractional advection-dispersion flow equations
- Quasi-compact finite difference schemes for space fractional diffusion equations
- Convergence analysis of moving finite element methods for space fractional differential equations
- A PDE approach to fractional diffusion in general domains: a priori error analysis
- A second-order accurate numerical approximation for the fractional diffusion equation
- Stability and convergence of an implicit numerical method for the space and time fractional Bloch–Torrey equation
- Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
- A Schur–Padé Algorithm for Fractional Powers of a Matrix
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- Finite Elemente
- Local Discontinuous Galerkin methods for fractional diffusion equations
- An Extension Problem Related to the Fractional Laplacian
- Variational formulation for the stationary fractional advection dispersion equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item