A Diagonalization-Based Parallel-in-Time Algorithm for Crank-Nicolson’s Discretization of the Viscoelastic Equation
From MaRDI portal
Publication:6192633
DOI10.4208/eajam.2022-304.070323OpenAlexW4389200439MaRDI QIDQ6192633
Publication date: 13 February 2024
Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.2022-304.070323
convergence analysisdiagonalizationCrank-Nicolson methodviscoelastic equationparallel-in-time (PinT) algorithm
Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- A space-time continuous finite element method for 2D viscoelastic wave equation
- Finite-difference time-domain method for modelling of seismic wave propagation in viscoelastic media
- Finite difference method and analysis for three-dimensional semiconductor device of heat conduction
- A mixed type boundary problem describing the propagation of disturbances in viscous media. I: Weak solutions for quasi-linear equations
- Global existence and exponential stability of small solutions to nonlinear viscoelasticity
- On the strongly damped wave equation
- A mixed finite element approach for viscoelastic wave propagation
- Wave propagation characteristics of Parareal
- Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow
- A parallel-in-time implementation of the Numerov method for wave equations
- Parallel implementation for the two-stage SDIRK methods via diagonalization
- Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation
- A stable parareal-like method for the second order wave equation
- A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation
- Weak Galerkin finite element method for viscoelastic wave equations
- A note on parallel preconditioning for all-at-once evolutionary PDEs
- Parallelization in time through tensor-product space-time solvers
- Block \(\omega\)-circulant preconditioners for the systems of differential equations
- Mixed finite element method for a strongly damped wave equation
- Résolution d'EDP par un schéma en temps «pararéel »
- 50 Years of Time Parallel Time Integration
- A POD-based-optimized finite difference CN-extrapolated implicit scheme for the 2D viscoelastic wave equation†
- Error estimates for mixed finite element approximations of the viscoelasticity wave equation
- An Introduction to Domain Decomposition Methods
- A Proposal for Toeplitz Matrix Calculations
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations
- A Direct Time Parallel Solver by Diagonalization for the Wave Equation
- A reduced‐order extrapolated Crank–Nicolson collocation spectral method based on proper orthogonal decomposition for the two‐dimensional viscoelastic wave equations
- A Uniform Spectral Analysis for a Preconditioned All-at-Once System from First-Order and Second-Order Evolutionary Problems
- A Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation Problems
- Parallel methods for integrating ordinary differential equations
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Optimized Schwarz Methods
- How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid?
- A Fast Block $\alpha$-Circulant Preconditoner for All-at-Once Systems From Wave Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item