An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation

DOI10.1186/s13661-016-0739-8zbMath1353.74078OpenAlexW2570845215WikidataQ59527061 ScholiaQ59527061MaRDI QIDQ501942

Fei Teng, Zhen-Dong Luo

Publication date: 10 January 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0739-8

zbMATH Keywords

error estimatenumerical simulationviscoelastic wave equationoptimized splitting positive definite mixed finite element extrapolation approachproper orthogonal decomposition technique

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (13)

An optimized finite element extrapolating method for 2D viscoelastic wave equation ⋮ A reduced-order characteristic finite element method based on POD for optimal control problem governed by convection-diffusion equation ⋮ Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation ⋮ Reduced-order finite element approximation based on POD for the parabolic optimal control problem ⋮ A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation ⋮ A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation ⋮ A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem ⋮ A splitting mixed covolume method for viscoelastic wave equations on triangular grids ⋮ Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow ⋮ A reduced-order finite element method based on POD for the incompressible miscible displacement problem ⋮ Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique ⋮ A reduced-order Weak Galerkin finite element algorithm based on POD technique for parabolic problem on polytopal mesh ⋮ A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

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