Optimal convergence for time-dependent Stokes equation: a new approach
DOI10.1007/s10915-021-01684-9OpenAlexW3211459728MaRDI QIDQ2053327
Jean-Pierre Croisille, Dalia Fishelov
Publication date: 29 November 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01684-9
Navier-Stokes equationsbiharmonic problemoptimal convergencehigh-order compact schemetime dependent Stokes problem
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Incompressible viscous fluids (76Dxx)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- A high order compact scheme for the pure-streamfunction formulation of the Navier-Stokes equations
- Single cell discretizations of order two and four for biharmonic problems
- A fourth-order scheme for incompressible Boussinesq equations
- Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
- Convergence of summation-by-parts finite difference methods for the wave equation
- A pure-compact scheme for the streamfunction formulation of Navier-Stokes equations
- Analysis of a fourth-order finite difference method for the incompressible Boussinesq equations
- Essentially compact schemes for unsteady viscous incompressible flows
- Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation
- A unified framework of continuous and discontinuous Galerkin methods for solving the incompressible Navier-Stokes equation
- A Cartesian compact scheme for the Navier-Stokes equations in streamfunction formulation in irregular domains
- Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain
- Extension of high-order compact schemes to time-dependent problems
- Navier-Stokes Equations in Planar Domains
- Matrix Analysis
- The Convergence Rate for Difference Approximations to General Mixed Initial-Boundary Value Problems
- A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- Fourth‐order finite difference simulation of a differentially heated cavity
- A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
- Optimal-Order Finite Difference Approximation of Generalized Solutions to the Biharmonic Equation in a Cube
- Time evolution of discrete fourth‐order elliptic operators
- Semi-discrete Time-Dependent Fourth-Order Problems on an Interval: Error Estimate
- Convergence of a Compact Scheme for the Pure Streamfunction Formulation of the Unsteady Navier–Stokes System
- The Navier-Stokes Equations
- A numerical study of laminar separation bubbles using the Navier-Stokes equations
- A streamfunction–velocity approach for 2D transient incompressible viscous flows
- On error bounds of finite difference approximations to partial differential equations. -- Temporal behavior and rate of convergence
- A compact fourth-order finite difference scheme for unsteady viscous incompressible flows.
This page was built for publication: Optimal convergence for time-dependent Stokes equation: a new approach
