An optimized finite element extrapolating method for 2D viscoelastic wave equation

DOI10.1186/s13660-017-1496-7zbMath1372.65313OpenAlexW2755410122WikidataQ42169301 ScholiaQ42169301MaRDI QIDQ2404527

Hong Xia, Zhen-Dong Luo

Publication date: 19 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1496-7

zbMATH Keywords

error estimateproper orthogonal decomposition methodclassical finite element methodoptimized finite element extrapolating method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation ⋮ A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation ⋮ Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow

Cites Work

• A space-time continuous finite element method for 2D viscoelastic wave equation
• A reduced MFE formulation based on POD for the non-stationary conduction-convection problems
• An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation
• A reduced finite element formulation based on POD method for two-dimensional solute transport problems
• A POD-based reduced-order model for free surface shallow water flows over real bathymetries for Monte-Carlo-type applications
• Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison
• Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model
• On the stability of the reduced basis method for Stokes equations in parametrized domains
• A mixed type boundary problem describing the propagation of disturbances in viscous media. I: Weak solutions for quasi-linear equations
• A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations
• A POD reduced-order SPDMFE extrapolating algorithm for hyperbolic equations
• A general theory of heat conduction with finite wave speeds
• A reduced stabilized mixed finite element formulation based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations
• A POD-based-optimized finite difference CN-extrapolated implicit scheme for the 2D viscoelastic wave equation^†
• A Priori $L^2 $ Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
• An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems
• A POD-BASED REDUCED-ORDER STABILIZED CRANK–NICOLSON MFE FORMULATION FOR THE NON-STATIONARY PARABOLIZED NAVIER–STOKES EQUATIONS
• Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations
• A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations
• An improved error bound for reduced basis approximation of linear parabolic problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An optimized finite element extrapolating method for 2D viscoelastic wave equation