Quasi-least-squares finite element method for steady flow and heat transfer with system rotation

DOI10.1007/s00211-006-0019-0zbMath1100.76039OpenAlexW2163523306MaRDI QIDQ850440

Liqiu Wang, Danping Yang

Publication date: 3 November 2006

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-006-0019-0

zbMATH Keywords

Navier-Stokes equationsBoussinesq approximationa priori error estimates

Mathematics Subject Classification ID

Related Items (1)

A split least-squares characteristic mixed element method for nonlinear nonstationary convection–diffusion problem

Cites Work

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• Least-squares finite element method for fluid dynamics
• A least-squares finite element method for the Helmholtz equation
• An error analysis of least-squares finite element method of velocity- pressure-vorticity formulation for Stokes problem
• Bifurcation and stability of forced convection in tightly coiled ducts: stability
• Competition of Coriolis instability with centrifugal instability and its effects on heat transfer in a rotating curved heated channel
• A mixed finite element method for the Stokes problem: an acceleration-pressure formulation
• Least-squares finite elements for the Stokes problem
• A finite element method for first order elliptic systems in three dimensions
• On finite element methods of the least squares type
• Buoyancy-force-driven transitions in flow structures and their effects on heat transfer in a rotating curved channel
• On the convergence and stability of the standard least squares finite element method for first-order elliptic systems
• A unified analysis of a weighted least squares method for first-order systems
• Accuracy of least-squares methods for the Navier--Stokes equations
• Effect of spanwise rotation on centrifugal instability in rotating curved non-isothermal flows
• Bifurcation and stability of combined free and forced convection in rotating curved ducts of square cross-section.
• Body-force-driven multiplicity and stability of combined free and forced convection in rotating curved ducts: Coriolis force
• Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations.
• Property of period-doubling bifurcations
• Optimal least-squares finite element method for elliptic problems
• Microscale flow bifurcation and its macroscale implications in periodic porous media
• Analysis of the \(L^2\) least-squares finite element method for the velocity-vorticity-pressure Stokes equations with velocity boundary conditions.
• Some least-squares Galerkin procedures for first-order time-dependent convection-diffusion system
• Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
• Bifurcation and stability of forced convection in tightly coiled ducts: multiplicity
• Bifurcation and stability of forced convection in curved ducts of square cross-section
• Least-squares methods for Stokes equations based on a discrete minus one inner product
• A least-squares finite element method for incompressible flow in stress-velocity-pressure version
• Adaptive refinement for least-squares finite elements with element-by-element conjugate gradient solution
• Bifurcation study of flow through rotating curved ducts
• A Comparative Study of Finite Element and Finite Difference Methods for Cauchy-Riemann Type Equations
• Finite Element Methods for Navier-Stokes Equations
• Least Squares Methods for Elliptic Systems
• Finite element approximation of vector fields given by curl and divergence
• Mixed and Hybrid Finite Element Methods
• Finite Element Approximation for Grad-Div Type Systems in the Plane
• A least-squares finite element method for incompressible Navier-Stokes problems
• Error analysis of a weighted least-squares finite element method for 2-D incompressible flows in velocity-stress-pressure formulation
• A two-stage least-squares finite element method for the stress-pressure-displacement elasticity equations
• Analysis of Velocity-Flux Least-Squares Principles for the Navier--Stokes Equations: Part II
• A bifurcation study of viscous flow through a rotating curved duct
• An Error Estimate of the Least Squares Finite Element Method for the Stokes Problem in Three Dimensions
• Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
• Analysis of Least Squares Finite Element Methods for the Stokes Equations
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation
• First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
• Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations
• Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
• Flow transitions and combined free and forced convective heat transfer in rotating curved channels: The case of positive rotation
• Error estimates for least-squares mixed finite elements
• Applied Analysis of the Navier-Stokes Equations
• Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods
• Analysis of least-squares mixed finite element methods for nonlinear nonstationary convection-diffusion problems
• On the lnviscid Theory of Rotating Fluids
• Rayleigh‐Ritz‐Galerkin methods for dirichlet's problem using subspaces without boundary conditions
• Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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