[PDF] Top 20 Consistent local projection stabilized finite element methods

... establish local projection methods inside an enriching frame- work relied on ...and consistent new version of LPS (or polynomial projection methods) and still maintain them ... See full document

... The local stabilization suggested in [6] has some advantages in this ...of stabilized methods has been derived using Galerkin methods enriched with bub- ble functions (see ...pressure ... See full document

... Ern and Guermond [16] and Badia and Hierro [1], using different stabilisation methods and slightly different focus). Below we design a nonlinear LPS method based on these ideas. We show that the method satisfies a ... See full document

... stabilised methods are PSPG methods, introduced for shape-regular meshes in [HFB86], and extended to anisotropic meshes in [MPP03, ...enriched finite element methods (see, ...and ... See full document

... of stabilized finite element methods as well as for standard finite element ...The local error indicators that can be used to adaptively refine the mesh are locally ... See full document

... weakly consistent since it does not involve the full ...need element-wise projections satisfy- ing suitable orthogonality properties, and it does not need multiple ...LPS methods, the stabilization ... See full document

... numerical methods were applied to investigate the Stokes–Darcy fluid flow model, such as coupled finite elements methods [15–21], two-grid/multi-grid methods [22–28], discontinuous Galerkin finite ... See full document

... the consistent splitting scheme [, ], which is called a gauge method also ...semi-discrete projection methods can be found in Shen [] and Guermond and Quartapelle ...the projection ... See full document

... Numerical methods for this model have been intensively studied during the past several decades [3, 9, 17, ...numerical methods is to establish the so-called Babu˘ska–Brezzi stability ...finite element ... See full document

... Several methods have been intensively studied to remove such a drawback for this problem and relevant problem, we can summarize some of the most relevant ...orthogonal projection acting only on the fine ... See full document

... (SOLD) methods were proposed. SOLD methods add an extra term to the already stabilized formulation, which usually depends on the discrete solution in a nonlinear way, vanishes for small residuals ... See full document

... [1] J. Wang, “A Superconvergence Analysis for Finite Ele- ment Solutions by the Least-Squares Surface Fitting on Irregular Meshes for Smooth Problems,” Journal of Mathematical Study, Vol. 33, No. 3, 2000, pp. ... See full document

... the element boundary for the RFB has led to some numerical ...finite element method; see [21], where the main idea may be found, and [20], where the a priori error analysis is performed (for the ... See full document

... In 2004, Passerini et al. [12] performed a theoreti- cal investigation about the free convection in horizontal concentric cylinders. They showed that, for suciently small Rayleigh numbers, a steady stable solution can be ... See full document

... In this work we propose a simple solution to this problem by means of a LPS-like stabilized finite element method. The starting point is the observation that the mesh for the larger domain induces a ... See full document

... spectral methods where the field variable is discretized with Fourier basis [1, 2], but these methods typically render the computation ...regular finite element and finite difference ... See full document

... The application of STO to the problem of a plane truss is described in this section. The STO procedure gives the optimised layout for the truss by determining the ideal material distribution minimising the strain energy ... See full document

... about finite element mod- ellings in dentistry, FEM was described as a prevalent and useful technique in the evaluation of stress distri- butions in biomechanic models ... See full document

... In recent years, SPH method is developed to solve mechanical problems as well as fluid flow problems. The advantage of SPH is its meshless technique which avoid the time consuming remeshing process especially in ... See full document

... the stability condition (1.9), we will combine the ideas of macroelement technique in [15, 16, 17] and the arguments in [8] for Galerkin least squares methods. Then the er- ror estimate (1.5) follows in the usual ... See full document