[PDF] Top 20 Stabilized finite element method for the stationary mixed Stokes–Darcy problem

... steady-state Stokes–Darcy problem that can be implemented by the use of existing surface water and groundwater ...medium problem for subsurface flow, a mixed discretization, which ... See full document

... squares method, proposed by Hughes et ...unusual stabilized finite element method [, ] for advection-diffusion equa- tions, we propose here a first-order mixed type stabilized ... See full document

... coupled method (.) and DBES (.). The finite element spaces are constructed using the well-known MINI elements for the Stokes problem and linear Lagrangian elements for the Darcy ... See full document

... Multi-Scale method (VMS) [24] and variations of it [3, 16], the Residual-Free-Bubble approach (RFB) [14, 27, 13] and its practical implementation using a two-level method [22], the Heterogeneous Multi-Scale ... See full document

... new stabilized finite element method for the coupled Navier-Stokes/temperature (or Boussinesq) ...The method is built using low order conforming elements for velocity and ... See full document

... the problem difficult to analyze accurately and to solve it ...numerical method for modelling such multimaterial flows (fluid/solid) will be referred as the immersed volume method ( IVM ...this ... See full document

... the Stokes problem to be stitched together using a stabilized Nitsche method from multiple non-matching and intersecting meshes to weakly enforce continuity over an ...The method has ... See full document

... Solving the viscoelastic fluid flow model is a great challenge due to the slow flow and the hyperbolic nature of the constitutive equation [1]. Owing to the complex structure of viscoelastic fluid, it is not solvable ... See full document

... [7] J. Douglas, Jr. and J. P. Wang, An absolutely stabilized finite element method for the Stokes problem, Math. Comp. 52 (1989), no. 186, 495–508. MR 89j:65069. Zbl 669.76051. [8] L. P. ... See full document

... the problem numerically using a combination of the mixed-hybrid finite element method for the total flux discretization and the finite volume method for the discretization ... See full document

... 3. Stabilized mixed DG methods are introduced for the velo- city and pressure in Section ...a mixed, stabilized and discontinuous Galerkin ...the finite element formulation are ... See full document

... of stabilized methods has been derived using Galerkin methods enriched with bub- ble functions (see ...penalty method have been proposed and analyzed in ...pressure stabilized finite ... See full document

... of stabilized finite element methods for the Stokes problem considering nonstable different (or equal) order of velocity and pressure interpola- ... See full document

... a stabilized finite element method for the Stokes problem, with and without a reaction ...appropriate finite dimensional spaces of bubble-like ...the finite ... See full document

... Reduced-Navier Stokes/Prandtl (RNS/P) ...flow problem. For these equations, a numerical method based on finite differences has been proposed and tested in ...proposed method is cheap ... See full document

... non-stationary Stokes equations about vorticity–stream functions and analyzed the existence, uniqueness, stability, and convergence of the time semi-discretized CN and CNFSE solutions, ... See full document

... XFEM, finite element mesh is produced regardless of existence and location of ...classical finite element at selected nodes due to enrichment of displacement ... See full document

... [5] Crouzeix, M. and Raviart, P.A. (1973) Conforming and Nonconforming Finite Ele- ment Methods for Solving the Stationary Stokes Equations. Revue française d ’ automatique , informatique , recherche ... See full document

... Abdominal aortic aneurysm (AAA) is a common clinical problem that requires determination of hemodynamic conditions and subsequent rupture prediction. AAAs, are aneurysms occurring in the abdominal part of the ... See full document

... value problem in a single space ...this method to the free boundary problem, that is, one-dimensional single- phase Stefan problem for which part of the boundary has to be found out along with ... See full document