Keywords: روش های چند متغیره متغیر; Optimal control; Variational multiscale methods; Stabilized fem; Unsteady Navier-Stokes; Error estimate;
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A projection-based variational multiscale method for the optimal control problems governed by the stationary Navier-Stokes equations
Keywords: روش های چند متغیره متغیر; Optimal control; Variational multiscale methods; Stabilized fem; Navier-Stokes;
Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton–Krylov-AMG
Keywords: روش های چند متغیره متغیر; Stabilized FE; Variational multiscale methods; Resistive magnetohydrodynamics; Implicit methods; Newton–Krylov; Algebraic multigrid methods
Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods
Keywords: روش های چند متغیره متغیر; Hyperbolic conservation laws; Discontinuous Galerkin methods; Variational multiscale methods; Slope limiting; Constrained optimization
Finite element LES and VMS methods on tetrahedral meshes
Keywords: روش های چند متغیره متغیر; Incompressible Navier–Stokes equations; Turbulent flows; Large Eddy Simulation; Variational multiscale methods; Tetrahedral meshes
Numerical studies of finite element variational multiscale methods for turbulent flow simulations
Keywords: روش های چند متغیره متغیر; Variational multiscale methods; Finite element methods; Turbulent channel flow; Residual free bubble functions
Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations
Keywords: روش های چند متغیره متغیر; Navier–Stokes equations; Variational multiscale methods; h-Adaptive; Two local Gauss integrations
Improving stability of stabilized and multiscale formulations in flow simulations at small time steps
Keywords: روش های چند متغیره متغیر; Variational multiscale methods; Stabilized methods; Advection–diffusion equation; Element-vector-based ττ; Incompressible Navier–Stokes equations; Turbulence modeling; Turbulent channel flow
A three-field formulation for incompressible viscoelastic fluids
Keywords: روش های چند متغیره متغیر; Viscoelastic fluids; Oldroyd-B model; Variational multiscale methods; Stabilized methods; Mixed finite elements; Three-field formulation; Equal-order elements
A stochastic multiscale framework for modeling flow through random heterogeneous porous media
Keywords: روش های چند متغیره متغیر; Stochastic partial differential equations; Collocation methods; Sparse grids; Scalable algorithms; Non-linear model reduction; Manifold learning; Variational multiscale methods; Mixed finite elements; Data-driven modeling
Stabilized shock hydrodynamics: II. Design and physical interpretation of the SUPG operator for Lagrangian computations
Keywords: روش های چند متغیره متغیر; Variational multiscale methods; Stabilized methods; SUPG methods; Lagrangian hydrodynamics; Kuropatenko viscosity; Linear viscosity; Invariance; Galilean transformations
Stabilized finite element methods for the generalized Oseen problem
Keywords: روش های چند متغیره متغیر; Incompressible flow; Navier–Stokes equations; Variational multiscale methods; Stabilized finite elements
Interior penalty variational multiscale method for the incompressible Navier–Stokes equation: Monitoring artificial dissipation
Keywords: روش های چند متغیره متغیر; Variational multiscale methods; Interior penalty; Stabilized finite element methods; Incompressible flow; Navier–Stokes equations; Energy balance; Numerical dissipation; A posteriori error estimation
A discourse on Galilean invariance, SUPG stabilization, and the variational multiscale framework
Keywords: روش های چند متغیره متغیر; Variational multiscale methods; Stabilized methods; SUPG methods; Invariance; Galilean transformations; Instabilities
Modeling diffusion in random heterogeneous media: Data-driven models, stochastic collocation and the variational multiscale method
Keywords: روش های چند متغیره متغیر; Stochastic partial differential equations; Random heterogeneous media; Microstructures; Collocation methods; Sparse grids; Multiscale modeling; Variational multiscale methods; Model reduction
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
Keywords: روش های چند متغیره متغیر; Variational multiscale methods; Large eddy simulation; Turbulence modeling; Optimality; Projection; Small-scale Green’s function; Perturbation series; Isogeometric analysis; NURBS; Incompressible flows; Homogeneous isotropic turbulence; Turbulent channel
Fourier analysis of semi-discrete and space–time stabilized methods for the advective–diffusive–reactive equation: III. SGS/GSGS
Keywords: روش های چند متغیره متغیر; 47.11.+jAdvection–diffusion–reaction equation; Fourier stability analysis; Stabilized methods; Variational multiscale methods; SGS/GSGS method; Lumping
Fourier analysis of semi-discrete and space-time stabilized methods for the advective-diffusive-reactive equation: II. SGS
Keywords: روش های چند متغیره متغیر; 47.11.+j; 28; 29; 78; 86; Advection-diffusion-reaction equation; Fourier stability analysis; Stabilized methods; Variational multiscale methods; SGS method; Lumping;