Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes
نویسندگان
چکیده
منابع مشابه
Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes
In this work we present and analyse new inf-sup stable, and stabilised, finite element methods for the Oseen equation in anisotropic quadrilateral meshes. The meshes are formed of closed parallelograms, and the analysis is restricted to two space dimensions. Starting with the lowest order Q1 × P0 pair, we first identify the pressure components that make this finite element pair to be non-inf-su...
متن کاملStabilized Finite Element Methods with Anisotropic Mesh Refinement for the Oseen Problem
with an artificial reaction term cu where c ∼ 1/∆t. We consider stabilized conforming finite element (FE) schemes with equal-order interpolation of velocity/pressure for problem (3)–(4) with emphasis on anisotropic mesh refinement in boundary layers. The classical streamline upwind and pressure stabilization (SUPG/PSPG) techniques for the incompressible Navier-Stokes problem for equal-order int...
متن کاملA Stabilized Finite Element Scheme for the Navier-stokes Equations on Quadrilateral Anisotropic Meshes
It is well known that the classical local projection method as well as residual-based stabilization techniques, as for instance streamline upwind Petrov-Galerkin (SUPG), are optimal on isotropic meshes. Here we extend the local projection stabilization for the Navier-Stokes system to anisotropic quadrilateral meshes in two spatial dimensions. We describe the new method and prove an a priori err...
متن کامل“CleanUp: Improving Quadrilateral Finite Element Meshes”
Unless an all quadrilateral (quad) finite element mesher is of a high quality, the mesh it produces can contain misshapen quads. This paper will describe “CleanUp”, written to improve an all quad mesh. CleanUp looks at improving node connectivity, boundary and flange patterns, quad shape, and to some extent, quad size. CleanUp is currently used in conjunction with the Paver algorithm developed ...
متن کاملConvergence of an adaptive finite element method on quadrilateral meshes
We prove convergence and optimal complexity of an adaptive finite element algorithm on quadrilateral meshes. The local mesh refinement algorithm is based on regular subdivision of marked cells, leading to meshes with hanging nodes. In order to avoid multiple layers of these, a simple rule is defined, which leads to additional refinement. We prove an estimate for the complexity of this refinemen...
متن کاملذخیره 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: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2018
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/2017031