Research on the Connection of Multi-scale Quadrilateral Finite Element Meshes
نویسندگان
چکیده
منابع مشابه
“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 ...
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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...
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This chapter explains techniques for the generation of quadrilateral and hexahedral element meshes. Since structured meshes are discussed in detail in other parts of this volume, we focus on the generation of unstructured meshes, with special attention paid to the 3D case. Quadrilateral or hexahedral element meshes are the meshes of choice for many applications, a fact that can be explained emp...
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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 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...
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ژورنال
عنوان ژورنال: Journal of Mechanical Engineering
سال: 2019
ISSN: 0577-6686
DOI: 10.3901/jme.2019.09.100