The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation
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Publication:2124695
DOI10.1016/j.jmaa.2022.126207zbMath1490.65216OpenAlexW4220896338MaRDI QIDQ2124695
Publication date: 11 April 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126207
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 methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items (4)
The Crank-Nicolson mixed finite element method for the improved system of time-domain Maxwell's equations ⋮ A precision preserving Crank-Nicolson mixed finite element lowering dimension method for the unsteady conduction-convection problem ⋮ Two-grid dimension reduction method of Crank-Nicolson mixed finite element solution coefficient vectors for the fourth-order extended Fisher-Kolmogorov equation ⋮ The dimension reduction method of two-grid Crank-Nicolson mixed finite element solution coefficient vectors for nonlinear fourth-order reaction diffusion equation with temporal fractional derivative
Uses Software
Cites Work
- Unnamed Item
- A space-time continuous finite element method for 2D viscoelastic wave equation
- A new space-time continuous Galerkin method with mesh modification for Sobolev equations
- Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: trust region POD 4D VAR data assimilation
- A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems
- An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type
- An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation
- A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations
- A natural boundary element method for the Sobolev equation in the 2D unbounded domain
- Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations
- A POD-based reduced-order Crank-Nicolson finite volume element extrapolating algorithm for 2D Sobolev equations
- Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations
- A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions
- A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model
- A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation
- A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations
- A collocation spectral method for two-dimensional Sobolev equations
- The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows
- A highly efficient reduced-order extrapolated finite difference algorithm for time-space tempered fractional diffusion-wave equation
- 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
- POD-based model order reduction with an adaptive snapshot selection for a discontinuous Galerkin approximation of the time-domain Maxwell's equations
- A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation
- A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation
- A reduced-order extrapolated natural boundary element method based on POD for the parabolic equation in the 2D unbounded domain
- A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations
- Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation
- Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- The dynamics of coherent structures in the wall region of a turbulent boundary layer
- Model Reduction and Approximation
- 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
- Numerical simulation of the temperature field of the stadium building foundation in frozen areas based on the finite element method and proper orthogonal decomposition technique
- A reduced‐order extrapolated natural boundary element method based on POD for the 2D hyperbolic equation in unbounded domain
- Reduced Basis Methods for Partial Differential Equations
- Galerkin proper orthogonal decomposition methods for parabolic problems
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