Reduced‐order extrapolation technique for coefficient vectors of numerical solutions about fluid mechanics equation
DOI10.1002/num.22989MaRDI QIDQ6066561
Yuejie Li, Zhen-Dong Luo, Yihui Zeng, Xiang Dong Liu
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
proper orthogonal decompositionnonstationary Stokes problemexistence and stability as well as error estimationfinite spectral element Crank-Nicolson solution
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) 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) Extrapolation to the limit, deferred corrections (65B05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations
- Optimization-based limiters for the spectral element method
- Reduced finite difference scheme and error estimates based on POD method for non-stationary Stokes equation
- Some progress in spectral methods
- Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation
- A finite volume element formulation and error analysis for the non-stationary conduction-convection problem
- A Crank-Nicolson collocation spectral method for the two-dimensional telegraph equations
- A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions
- A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations
- Numerical research of nonlinear system of fractional Volterra-Fredholm integral-differential equations via block-pulse functions and error analysis
- Haar wavelet method for approximating the solution of a coupled system of fractional-order integral-differential equations
- Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow
- A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model
- Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model
- A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation
- A reduced-order energy-stability-preserving finite difference iterative scheme based on POD for the Allen-Cahn equation
- A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation
- A reduced-order extrapolated approach to solution coefficient vectors in the Crank-Nicolson finite element method for the uniform transmission line equation
- Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Spectral Methods and Their Applications
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- A reduced‐order extrapolated Crank–Nicolson collocation spectral method based on proper orthogonal decomposition for the two‐dimensional viscoelastic wave equations
- A REDUCED-ORDER EXTRAPOLATION SPECTRAL-FINITE DIFFERENCE SCHEME BASED ON THE POD METHOD FOR 2D SECOND-ORDER HYPERBOLIC EQUATIONS
- A POD-based reduced-order finite difference extrapolating model with fully second-order accuracy for non-stationary Stokes equations
- Numerical scheme for solving system of fractional partial differential equations with Volterra‐type integral term through two‐dimensional block‐pulse functions
- Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations
- Computational Fluid Dynamics