A generalized finite element method for the strongly damped wave equation with rapidly varying data
From MaRDI portal
Publication:5074375
DOI10.1051/m2an/2021023OpenAlexW3164739563MaRDI QIDQ5074375
No author found.
Publication date: 9 May 2022
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.03311
finite element methodreduced basis methodmultiscalestrongly damped wave equationlocalized orthogonal decomposition
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Second-order parabolic equations (35K10) Numerical analysis (65-XX)
Related Items
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients ⋮ A Space-Time Multiscale Method for Parabolic Problems ⋮ Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization ⋮ Multiscale methods for solving wave equations on spatial networks ⋮ On Optimal Convergence Rates for Discrete Minimizers of the Gross–Pitaevskii Energy in Localized Orthogonal Decomposition Spaces
Uses Software
Cites Work
- Unnamed Item
- A reduced basis method for evolution schemes with parameter-dependent explicit operators
- Computation of eigenvalues by numerical upscaling
- Adaptive variational multiscale methods based on a posteriori error estimation: energy norm estimates for elliptic problems
- The variational multiscale method -- a paradigm for computational mechanics
- Multiscale techniques for parabolic equations
- Efficient implementation of the localized orthogonal decomposition method
- Asymptotic periodicity for strongly damped wave equations
- Strongly damped wave equation with exponential nonlinearities
- Limiting behavior of strongly damped nonlinear wave equations
- Global solutions and finite time blow up for damped semilinear wave equations
- Decay estimates of solutions for the wave equations with strong damping terms in unbounded domains
- Attractors for strongly damped wave equations with nonlinear hyperbolic dynamic boundary conditions
- Adaptive Reduced Basis Methods for Nonlinear Convection–Diffusion Equations
- A localized orthogonal decomposition method for semi-linear elliptic problems
- Localized Orthogonal Decomposition Techniques for Boundary Value Problems
- Localized orthogonal decomposition method for the wave equation with a continuum of scales
- Variational Multiscale Stabilization and the Exponential Decay of Fine-Scale Correctors
- Generalized finite element methods for quadratic eigenvalue problems
- Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
- Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
- Qualitative theory for strongly damped wave equations
- Localization of elliptic multiscale problems
- Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
- Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
- On the strongly damped wave equation with constraint
- Multi Space Reduced Basis Preconditioners for Large-Scale Parametrized PDEs
- Local well posedness for strongly damped wave equations with critical nonlinearities
- Galerkin Finite Element Methods for Parabolic Problems
- Reduced Basis Methods for Partial Differential Equations
- A note on a strongly damped wave equation with fast growing nonlinearities
- Finite-Element Methods for a Strongly Damped Wave Equation