Least-squares finite element method for fluid dynamics
DOI10.1016/0045-7825(90)90139-DzbMath0714.76058OpenAlexW2091893176MaRDI QIDQ751404
Bo-Nan Jiang, Louis A. Povinelli
Publication date: 1990
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(90)90139-d
least-squares finite element methodconvective transport problemsequal-order interpolations for incompressible viscous flowshigh-speed compressible flowspositiveness of the algebraic systems
Finite element methods applied to problems in fluid mechanics (76M10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Finite element approximation of the Navier-Stokes equations
- Least-squares finite elements for the Stokes problem
- A space-time least-square finite element scheme for advection-diffusion equations
- Theory of multiobjective optimization
- Stability of some mixed finite element methods for Stokesian flows
- An analysis of time discretization in the finite element solution of hyperbolic problems
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Simple \(C^ 0\) approximations for the computation of incompressible flows
- Nonlinear preconditioned conjugate gradient and least-squares finite elements
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- Stabilized mixed methods for the Stokes problem
- A primitive variable finite element formulation for inviscid, compressible flow
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Error-bounds for finite element method
- Adaptive refinement for least-squares finite elements with element-by-element conjugate gradient solution
- Least-squares finite element methods for compressible Euler equations
- A Taylor-Galerkin method for convective transport problems
- A Comparative Study of Finite Element and Finite Difference Methods for Cauchy-Riemann Type Equations
- Element-by-element linear and nonlinear solution schemes
- Least Squares Methods for Elliptic Systems
- Least-squares finite element method and preconditioned conjugate gradient solution
- Recent progress in the development and understanding of SUPG methods with special reference to the compressible Euler and Navier-Stokes equations
- Least-squares finite elements for first-order hyperbolic systems
- On a finite element CFD algorithm for compressible, viscous and turbulent aerodynamic flows
- A stable least-squares finite element method for non-linear hyperbolic problems
- Finite element Euler computations in three dimensions
- A review of least‐squares methods for solving partial differential equations
- Efficient least squares finite elements for two-dimensional laminar boundary layer analysis
- Finite element methods for second order differential equations with significant first derivatives
- A least squares finite element approach to unsteady gas dynamics
- On least squares approximations to indefinite problems of the mixed type
- Least square‐finite element for elasto‐static problems. Use of ‘reduced’ integration
- Least squares finite element analysis of laminar boundary layer flows
- Rayleigh‐Ritz‐Galerkin methods for dirichlet's problem using subspaces without boundary conditions
- Use of the least squares criterion in the finite element formulation
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