A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations
From MaRDI portal
Publication:371482
DOI10.1016/j.amc.2012.11.083zbMath1273.65117OpenAlexW2006543616MaRDI QIDQ371482
Hong Li, Ping Sun, Zhen-Dong Luo
Publication date: 10 October 2013
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.11.083
proper orthogonal decompositionparabolic equationerror estimatenumerical simulationCrank-Nicolson finite volume element formulation
Related Items (12)
A low-dimensional compact finite difference method on graded meshes for time-fractional diffusion equations ⋮ The Crank-Nicolson mixed finite element method for the improved system of time-domain Maxwell's equations ⋮ An efficient high-order compact finite difference scheme based on proper orthogonal decomposition for the multi-dimensional parabolic equation ⋮ Hybridizable discontinuous Galerkin reduced order model for the variable coefficient advection equation ⋮ A reduced-order DG formulation based on POD method for the time-domain Maxwell's equations in dispersive media ⋮ Error analysis of the reduced RBF model based on POD method for time-fractional partial differential equations ⋮ Crank–Nicolson Finite Element Scheme and Modified Reduced-Order Scheme for Fractional Sobolev Equation ⋮ Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations ⋮ Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations ⋮ A POD-based reduced-order Crank-Nicolson finite volume element extrapolating algorithm for 2D Sobolev equations ⋮ A reduced high-order compact finite difference scheme based on proper orthogonal decomposition technique for KdV equation ⋮ A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems
- POD a-posteriori error estimates for linear-quadratic optimal control problems
- Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations
- Finite element formulation based on proper orthogonal decomposition for parabolic equations
- Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
- Principal component analysis.
- Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations
- A reduced stabilized mixed finite element formulation based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations
- On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
- Some Error Estimates for the Box Method
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Convergence of Finite Volume Schemes for Poisson’s Equation on Nonuniform Meshes
- Mixed and Hybrid Finite Element Methods
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations
- Proper orthogonal decomposition for optimality systems
- Reduced basis method for finite volume approximations of parametrized linear evolution equations
- Analysis of the cell-centred finite volume method for the diffusion equation
- Galerkin proper orthogonal decomposition methods for parabolic problems
This page was built for publication: A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations
