[PDF] Top 20 Stabilized finite element methods based on multiscale enrichment for the Stokes problem

... the element boundary for the RFB has led to some numerical ...discontinuous enrichment method [18] (for the Helmholtz equation), and, more recently, the multiscale finite element method; see ... See full document

... the problem difficult to analyze accurately and to solve it ...and methods for predicting the furnace behaviour and heat transfer processes of the workpieces are highly ...a stabilized finite ... See full document

... trary finite element methods are not allowed, and second, considering standard finite element methods produces poor approximation results when convection–dominated regimes are ... See full document

... the problem of miscible displacement which has considerable and practi- cal importance in petroleum ...This problem can be considered as the result of advective-diffusive equation for concentrations and the ... See full document

... projection methods inside an enriching frame- work relied on ...projection methods) and still maintain them parameter-free, and without the need of a dual coarser mesh satisfying a macro-element ... See full document

... the multiscale ba- sis function because it greatly influences the eventual accuracy of the method under ...the multiscale basis ...coarse element are extended to a domain larger than the ... See full document

... stabilization methods for inf-sup unstable approximations have been developed during the last three ...These methods can be classified into two kinds. The first one is residual based stabilization, ... 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 ... See full document

... the stabilized finite element methods proposed in [8, 28–33, 36, ...the Stokes problems with Dirichlet boundary conditions [2, 5, 26, 31, 46–48], the corresponding result for the Stokes ... See full document

... Fourth test case: In this test case, we take the mesh with 8192 elements and ∆ t = 2 − k with k = 5, 6, 7, 8 and solve the problem with CG method. We compare the results with the third test. We also notice for ... See full document

... the Stokes problem gener- ally follows one of two complementary ...such methods are available in the literature (see [20, 10] for extensive ...the element level or can simply be based ... See full document

... finite element method and the time discretization is obtained by the backward Eu- ler ...scheme. Based on the error estimates for the corresponding deterministic problem and Itô isometry, finally the ... See full document

... stationary Stokes–Darcy problem by developing a fully mixed stabilized finite element ...finite element scheme is proposed herein without introducing any Lagrange multi- plier and ... See full document

... of stabilized methods has been derived using Galerkin methods enriched with bub- ble functions (see ...niques based on a continuous penalty method have been proposed and analyzed in ... See full document

... a stabilized finite element method for the Stokes problem, with and without a reaction ...is based on the solution of local problems posed on appropriate finite ... 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. Franca ... See full document

... The Finite Element Analysis (FEA) finds out the solutions for various parameters like temperature, stresses, or other needed unknown parameters ...specific finite element ...the finite ... See full document

... volume element (RVE) for the multiscale large strain methodology are ...discretised multiscale model at large strains is presented with details of the solver algorithmic ... See full document

... Oseen problem numerically three different aspects can affect the quality of the numerical solution, and then need to be ...the problem is convection-dominated), then the numerical solution usually presents ... See full document

... 3. Chan, J., Demkowicz, L., Moser, R. and Roberts, N., 2010, ''A New Discontinuous Petrov- Galerkin Method with Optimal Test Functions. Part V: Solution of 1-D Burgers’ and Navier- Stokes Equations '' , The ... See full document