Divergence-free Scott--Vogelius Elements on Curved Domains

نویسندگان

چکیده

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 17 August 2020Accepted: 05 February 2021Published online: 27 April 2021Keywordsdivergence-free, isoparametric elements, convergence analysisAMS Subject Headings65N30, 76M10, 65N12Publication DataISSN (print): 0036-1429ISSN (online): 1095-7170Publisher: Society for Industrial and Applied MathematicsCODEN: sjnaam

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Divergence-free Multiwavelets on Rectangular Domains

In this paper we construct a family of divergence-free multiwavelets. The construction follows Lemari e's procedure. In the process we nd multiresolution analyses (MRA) related by diierentiation and integration to a family of biorthogonal MRAs constructed by Hardin and Marasovich. The multiscaling and multiwavelets constructed have symmetries and support properties which allow us to obtain bior...

متن کامل

Conforming and divergence-free Stokes elements on general triangular meshes

We present a family of conforming finite elements for the Stokes problem on general triangular meshes in two dimensions. The lowest order case consists of enriched piecewise linear polynomials for the velocity and piecewise constant polynomials for the pressure. We show that the elements satisfy the inf-sup condition and converges optimally for both the velocity and pressure. Moreover, the pres...

متن کامل

Remarks on multilevel bases for divergence free nite elements

The connection between the multilevel factorization method re cently proposed by Sarin and Sameh for solving mixed discretizations of the Stokes equation using a divergence free nite element formula tion and hierarchical basis preconditioners is established For the D triangular Taylor Hood element a preconditioning method is proposed that could be useful in fractional step methods

متن کامل

Divergence-free finite elements on tetrahedral grids for k≥6

It was shown two decades ago that the Pk-Pk−1 mixed element on triangular grids, approximating the velocity by the continuous Pk piecewise polynomials and the pressure by the discontinuous Pk−1 piecewise polynomials, is stable for all k ≥ 4, provided the grids are free of a nearly-singular vertex. The problem with the method in 3D was posted then and remains open. The problem is solved partiall...

متن کامل

New connections between finite element formulations of the Navier-Stokes equations

We show the velocity solutions to the convective, skew-symmetric, and rotational Galerkin finite element formulations of the Navier-Stokes equations are identical if Scott-Vogelius elements are used, and thus all three formulations will the same pointwise divergence free solution velocity. A connection is then established between the formulations for grad-div stabilized Taylor-Hood elements: un...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: SIAM Journal on Numerical Analysis

سال: 2021

ISSN: ['0036-1429', '1095-7170']

DOI: https://doi.org/10.1137/20m1360098