On the efficiency of combining different methods for acceleration of iterations at the solution of PDEs by the method of collocations and least residuals
From MaRDI portal
Publication:2286159
DOI10.1016/j.amc.2019.124644zbMath1433.65244OpenAlexW2967305896WikidataQ114211033 ScholiaQ114211033MaRDI QIDQ2286159
Evgenii V. Vorozhtsov, Vasily P. Shapeev
Publication date: 9 January 2020
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.124644
Navier-Stokes equationspreconditioningmultigridKrylov subspacesGauss-Seidel iterationsmethod of collocations and least residuals
Related Items (7)
Verified simulation of the stationary polymer fluid flows in the channel with elliptical cross-Section ⋮ High Accuracy Numerical Solution of Elliptic Equations with Discontinuous Coefficients ⋮ \(h\)-, \(p\)-, and \(hp\)-versions of the least-squares collocation method for solving boundary value problems for biharmonic equation in irregular domains and their applications ⋮ Development and Verification of a Simplified hp-Version of the Least-Squares Collocation Method for Irregular Domains ⋮ Solution of the Cauchy Problem for Ordinary Differential Equations Using the Collocation and Least Squares Method with the Pade Approximation ⋮ Evaluation of an effective and robust implicit time-integration numerical scheme for Navier-Stokes equations in a CFD solver for compressible flows ⋮ Бездивергентный метод коллокаций и наименьших квадратов для расчета течений несжимаемой жидкости и его эффективная реализация
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Newton multigrid least-squares FEM for the V-V-P formulation of the Navier-Stokes equations
- Multigrid methods for the Stokes equations using distributive Gauss-Seidel relaxations based on the least squares commutator
- High-order accurate collocations and least squares method for solving the Navier-Stokes equations
- TURBINS: an immersed boundary, Navier-Stokes code for the simulation of gravity and turbidity currents interacting with complex topographies
- Accurate three-dimensional lid-driven cavity flow
- Fast unsteady flow computations with a Jacobian-free Newton-Krylov algorithm
- An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner
- Development of the collocations and least squares method
- Krylov methods for the incompressible Navier-Stokes equations
- Higher-order time integration schemes for the unsteady Navier-Stokes equations on unstructured meshes.
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- A nonstandard multigrid method with flexible multiple semicoarsening for the numerical solution of the pressure equation in a Navier--Stokes solver
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Benchmark spectral results on the lid-driven cavity flow
- An adaptiv grid-projection method for elliptic problems
- A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries
- An effective explicit pressure gradient scheme implemented in the two-level non-staggered grids for incompressible Navier-Stokes equations
- FREE LONGITUDINAL VIBRATIONS OF BIMODULAR BEAMS: A COMPARATIVE STUDY
- CAS Application to the Construction of the Collocations and Least Residuals Method for the Solution of the Burgers and Korteweg–de Vries–Burgers Equations
- Symbolic-Numeric Implementation of the Method of Collocations and Least Squares for 3D Navier–Stokes Equations
- High-accuracy versions of the collocations and least squares method for the numerical solution of the Navier-Stokes equations
- Analysis of Augmented Lagrangian-Based Preconditioners for the Steady Incompressible Navier–Stokes Equations
- An Asymptotic Fitting Finite Element Method with Exponential Mesh Refinement for Accurate Computation of Corner Eddies in Viscous Flows
- Discussions on driven cavity flow
- Least-squares finite element method and preconditioned conjugate gradient solution
- Finite Element Methods of Least-Squares Type
- A subdomain boundary element method for high-Reynolds laminar flow using stream function-vorticity formulation
- CAS Application to the Construction of the Collocations and Least Residuals Method for the Solution of 3D Navier–Stokes Equations
- Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
- Nonconforming Finite Element Method Applied to the Driven Cavity Problem
- Computer Algebra in Scientific Computing
- The speed of convergence of one iterative process
This page was built for publication: On the efficiency of combining different methods for acceleration of iterations at the solution of PDEs by the method of collocations and least residuals
