A reduced-dimension method for unknown Crank-Nicolson finite element solution coefficient vectors of elastic wave equation with singular source term
DOI10.1016/j.jmaa.2024.128629zbMATH Open1548.6521MaRDI QIDQ6612203
Mingfu Feng, Luru Jing, Yuejie Li, Fei Teng, Zhendong Luo
Publication date: 30 September 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
stabilityconvergenceexistenceproper orthogonal decompositionelastic wave equationCrank-Nicolson finite element methodreduced-dimension extrapolated Crank-Nicolson finite element method
Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05) 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) Finite difference methods applied to problems in solid mechanics (74S20) 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) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems
- A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem
- A reduced finite element formulation based on POD method for two-dimensional solute transport 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
- A priori error estimates for explicit finite element for linear elasto-dynamics by Galerkin method and central difference method.
- The solution of elastostatic and elastodynamic problems with Chebyshev spectral finite elements
- A lowest-order weak Galerkin method for linear elasticity
- Principal component analysis.
- A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model
- The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev 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 fully coupled multiphase flow and geomechanics solver for highly heterogeneous porous media
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- FICTITIOUS DOMAINS, MIXED FINITE ELEMENTS AND PERFECTLY MATCHED LAYERS FOR 2-D ELASTIC WAVE PROPAGATION
- Finite-element method for elastic wave propagation
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Proper orthogonal decomposition for flow calculations and optimal control in a horizontal CVD reactor
- Dispersion analysis of a non-conforming finite element method for the Helmholtz and elastodynamic equations
- An HDG method for linear elasticity with strong symmetric stresses
- Model Reduction and Approximation
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- 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
- Locking-Free Enriched Galerkin Method for Linear Elasticity
- Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations
- Reduced Basis Methods for Partial Differential Equations
- On Korn's inequality
- Galerkin proper orthogonal decomposition methods for parabolic problems
- A natural boundary element reduced-dimension model for uniform high-voltage transmission line problem in an unbounded outer domain
This page was built for publication: A reduced-dimension method for unknown Crank-Nicolson finite element solution coefficient vectors of elastic wave equation with singular source term
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612203)
