[PDF] Top 20 A posteriori least-squares finite element error analysis for the Navier-Stokes equations

... The a posteriori error analysis presented in this article shows that the error indicator is perfectly reliable for the guidance of mesh refinement at ... See full document

... Abstract A residual type a posteriori error estimator is presented for the least squares ®nite element ...method. The estimator is proved to equal ... See full document

... ensure the accuracy of all the information (the “Content”) contained in the publications on our ...to the accuracy, completeness, or suitability for any purpose of the ... See full document

... propose a new Cartesian finite difference method for solving a coupled system of a fluid flow modelled by the Navier–Stokes equations and a porous media ... See full document

... of the article is organized as follows. In Section II, we propose a new stress- pressure-displacement formulation for the elasticity ...subsystems, the stress-pressure system and ... See full document

... paper a least-squares ®nite element method for the Timoshenko beam problem is proposed and ...analyzed. The method is shown to be convergent and stable without requiring ... See full document

... These methods offer certain advantages such as that they need not satisfy the inf-sup condition which is required in the mixed finite element formulation, that a sin[r] ... See full document

... DOWN FOR ARTICLE Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our ...to the accuracy, ... See full document

... in a disk domain is because it suces to have all aforementioned numerical dif- culties occurring in higher-dimensional cylindrical and spherical ...with the nite element or spectral methods ... See full document

... to the cost of computing the approximate solution u h , the cost of computing the es- timated error ˜e is fractional since the complementary BE space S h c can be constructed ... See full document

... uniqueness for the stationary Navier-Stokes equations In this section we consider the unique determination of the viscosity in an in- compressible fluid described by ... See full document

... A general framework of the theoretical analysis for the convergence and stability of the standard least squares finite element approximations to boundary value problems of fir[r] ... See full document

... in the literature, the computational results are not much different for two- and three-dimensional ...problems. The most common choices of w is h, the spatial mesh ...larger, the ... See full document

... of the WENO2 scheme on different grid systems. A comparison of the calculated results of the experimental data and the Jiang et ...that the  ow is grid resolved and that ... See full document

... consider the unique determination of the viscosity in an incompressible fluid described by the stationary Navier–Stokes ...be the velocity vector field satisfying the ... See full document

... proposes a new algorithm for designing "nite word length linear-phase FIR ..."lters. The new algorithm produces "nite-precision least-squares error (LSE) solutions with much ... See full document

... because the stencil-choosing step involves heavy usage of logical statements which perform poorly on such ...machines. The WENO schemes introduced by Liu et ...keeping the robustness and high-order ... See full document

... tested the method by embedding the Navier–Stokes equations to the entire domain and selecting the nor- mal and tangential forces along the boundary as augmented ... See full document

... analyze the matrix properties of the resulting adaptive $nite element sys- tems for the Poisson equation, which then lead to the M-matrix properties for the ... See full document

... On the other hand, an attempt to create a univer- sal conditions for the general system (1) and (2) in the context of LSFE approx- imation is very intractable if not impossi[r] ... See full document