Keywords: 65N15; 65N30; 76D07; 76S05; Non-stationary mixed Stokes-Darcy model; Interface coupling; Crank-Nicolson scheme; Explicit MacCormack scheme; MacCormack rapid solver method; Long time stability;
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Keywords: Fluid flow; Stokes system; Brinkman equation; Varying viscosity; 76D03; 76D07; 76D10; 76S99;
Keywords: Linearized Oldroyd model; Second order scheme; Stability; Error estimates; 65N15; 65N30; 76D07;
Keywords: 76D07; 65N30; Stokes system; Outflow condition; Finite elements; Stabilized finite elements; Inf-sup condition;
Keywords: Rod-like particle; Orientation distribution; Depletion layer; Excluded volume effect; Microchannel flow; 82-80; 76-10; 76D07; 76T70;
Keywords: 65N15; 65N30; 76D07; Viscoelastic flow problem; Higher order projection method; Stability; Error estimates;
Keywords: 65N30; 65N12; 65N15; 76R05; 76D07; Linear elasticity; Stress-assisted diffusion; Mixed-primal formulation; Fixed-point theory; Finite element methods; A priori error bounds;
Keywords: 76505; 76D07; 35M10; 35Q35; 65M60; 65M55; Stokes equation; Darcy equation; Filtration;
Keywords: 65N30; 65N12; 65N15; 76D07; Nonconforming virtual element method; Stokes problem; General elements; Inf-Sup condition; Optimal error estimates;
Keywords: primary; 35K61; secondary; 76D07;
Keywords: 65N30; 65N12; 65N15; 35Q79; 80A20; 76R05; 76D07; Navier-Stokes; Darcy; Stress-velocity formulation; Mixed finite element methods; A posteriori error analysis;
Keywords: 65N30; 65N12; 65N15; 35Q79; 80A20; 76R05; 76D07; Generalized Boussinesq problem; Conforming finite element method; Hood-Taylor element; Temperature-dependent parameters; Primal-mixed formulation;
Keywords: 76D07; 76Txx; Micropolar fluid; Newtonian fluid; Cell model; Wall correction factor; Non-zero microrotation;
Keywords: Factorization theorem; Stokes flows; The Brinkman equations; The Oseen equations; 35Q35; 76D07;
Keywords: 76S05; 74Q05; 74F10; 76D07; Porous media; Homogenization; Fluid-structure interaction; Finite strains; Stokes' flow;
Keywords: 65N12; 65N30; 76D07; Stokes problem; Mixed methods; Curl-free forces; Higher-order reconstruction; Hybrid discontinuous Galerkin method; Static condensation;
Keywords: 76D07; 65N30; 65N08; 82.45.Rr; Electrochemical thin-layer flowcell; Butler-Volmer equation; Cyclic voltammetry; Stokes equations; Mixed finite element method; Finite volume method;
Keywords: Time dependent conduction-convection problems; Characteristic variational multiscale method; Finite element method; Stability analysis; High Rayleigh number; 2000 MSC; 65N15; 65N30; 76D07;
Keywords: 65M60; 65M12; 65M15; 35Q35; 76D07; Discontinuous finite volume element methods; Semi-discrete scheme; Convergence to the weak solution; Error estimates; Nonlinear coupled flow and transport; Sedimentation-consolidation processes; Gravity flows;
Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids
Keywords: Characteristic MAC scheme; Stability; Oseen equations; Post-processing; Non-uniform grids; 65M06; 65M12; 65M15; 65M25; 76D07;
An absolutely stable weak Galerkin finite element method for the Darcy-Stokes problem
Keywords: Weak Galerkin finite element method; Darcy-Stokes equation; Discrete weak gradient; Discrete weak divergence; Primary; 65N15; 65N30; 76D07; Secondary; 35B45; 35J50;
Numerical simulation of Stefan problem with ensuing melt flow through XFEM/level set method
Keywords: Extended finite element method; Level set method; Stefan problem; Buoyancy driven flow; 65D17; 65M60; 76D07; 80A22;
The decoupled Crank-Nicolson/Adams-Bashforth scheme for the Boussinesq equations with nonsmooth initial data
Keywords: The Boussinesq equations; Crank-Nicolson/Adams-Bashforth scheme; Decoupled method; Nonsmooth initial data; Stability; Convergence; 65N15; 65N30; 76D07;
A Hybrid High-Order discretisation of the Brinkman problem robust in the Darcy and Stokes limits
Keywords: 65N30; 65N08; 76S05; 76D07; Brinkman; Darcy; Stokes; Hybrid high-order methods; Korn inequality; Strain projector;
Weighted Lq-estimates for stationary Stokes system with partially BMO coefficients
Keywords: 35R05; 76N10; 76D07; Stokes system; Reifenberg flat domains; Measurable coefficients; Small mean oscillations; Muckenhoupt weights;
A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem
Keywords: 65N30; 65N12; 76D07; 65N15; Brinkman equation; Darcy equation; Vorticity-based formulation; Mixed finite elements; Error analysis; Viscous and non-viscous flows;
A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media
Keywords: 65N30; 76D07; 74Qxx; 35Q86; Stokes flow; Darcy equation; Numerical homogenization; Reduced basis; Adaptivity;
Large time behavior for the nonstationary Navier-Stokes flows in the half-space
Keywords: 35Q35; 35B40; 75D05; 76D07; Navier-Stokes flow; Stokes system; Solution formula; Strong solution; Half-space;
Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain
Keywords: 35Q35; 35B40; 75D05; 76D07; Steady Stokes system; Navier-Stokes flow; Exterior domain;
Equal order approximations enriched with bubbles for coupled Stokes–Darcy problem
Keywords: 65N30; 65N15; 76D07; 76M10; 76S05Stabilized finite elements; Mixed elements; Darcy equation; Stokes equations; Flows in porous media
A posteriori error estimate for the H(div) conforming mixed finite element for the coupled Darcy-Stokes system
Keywords: 65N15; 65N30; 76D07; Mixed finite element methods; Coupled Darcy-Stokes problem; A posteriori estimates;
LpLp-theory for Stokes and Navier–Stokes equations with Navier boundary condition
Keywords: 35Q30; 76D05; 76D07; 76N10; 35Q40; 35J45Stokes equations; Navier–Stokes equations; Navier boundary conditions; Very weak solutions; LpLp-theory; Fluid mechanics
A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation
Keywords: primary; 65N15; 65N30; 76D07; secondary; 35B45; 35J50; Finite volume methods; Bilinear finite elements; Posteriori error estimate; Elliptic problems;
Approximation of coupled Stokes–Darcy flow in an axisymmetric domain
Keywords: 76D07; 76S05; 74S05; 65M15; 35Q35Axisymmetric flow; Stokes equation; Darcy equation; Coupled fluid flow
Spatial and temporal decay estimate of the Stokes flow of weighted L1 initial data in the half space
Keywords: 35Q30; 76D07; Stokes; Half space; Spatial; Temporal; Decay rate;
Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time
Keywords: 35Q30; 65M12; 76D07; 76M10Stokes equations; Arbitrary Lagrangian Eulerian; Finite element method
The method of images for regularized Stokeslets
Keywords: 76D07; 35Q30Stokeslet; Method of images
A general solution of Oseen equations
Keywords: 76D07; Oseen flow; General solution; Divergence-free vector; Lamb's solution; Imai's solution; Oseenlet;
Stabilized discontinuous finite element approximations for Stokes equations
Keywords: Primary 65N15; 65N30; 76D07; secondary 35B45, 35J50Finite element method; Discontinuous Galerkin method; Stokes problem; Linear elasticity; Almost incompressible material
Unconditionally stable discretizations of the immersed boundary equations
Keywords: 65M06; 65M12; 74F10; 76D05; 76D07; 76M20Stability; Fluid–structure interaction; Immersed boundary method; Immersed interface method; Projection methods; Navier–Stokes equations
Simulating particles in Stokes flow
Keywords: 76D07; Slow viscous flow; Particle; Singularity method;
Maximum-norm stability of the finite element Stokes projection
Keywords: 65N15; 65N30; 76D07; Green's function; Duality argument; Weighted error estimates; Weighted inf-sup condition; Local interpolation;