Four- and eight-node hybrid-Trefftz quadrilateral finite element models for helmholtz problem

نویسندگان
چکیده

برای دانلود رایگان 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

Development of T-Trefftz Four-Node Quadrilateral and Voronoi Cell Finite Elements for Macro- & Micromechanical Modeling of Solids

In this paper, we explore three different ways of developing T-Trefftz finite elements of quadrilateral as well as polygonal shapes. In all of these three approaches, in addition to assuming an inter-element compatible displacement field along the element boundary, an interior displacement field for each element is independently assumed as a linear combination of T-Trefftz trial functions. In a...

متن کامل

Applications of Gauss-Radau and Gauss-Lobatto Numerical Integrations Over a Four Node Quadrilateral Finite Element

In this paper Gauss-Radau and Gauss-Lobatto quadrature rules are presented to evaluate the rational integrals of the element matrix for a general quadrilateral. These integrals arise in finite element formulation for second order Partial Differential Equation via Galerkin weighted residual method in closed form. Convergence to the analytical solutions and efficiency are depicted by numerical ex...

متن کامل

A four-node hybrid assumed-strain finite element for laminated composite plates

Fibre-reinforced plates and shells are finding an increasing interest in engineering applications. Consequently, efficient and robust computational tools are required for the analysis of such structural models. As a matter of fact, a large amount of laminate finite elements have been developed and incorporated in most commercial codes for structural analysis. In this paper a new laminate hybrid...

متن کامل

Hybrid Trefftz finite-element approach for plate bending on an elastic foundation

This paper presents a modified variational principle for the treatment of thin plate bending on an elastic foundation. The foundation may be of the Winkler or Pasternak type. A hybrid Trefftz (HT) finite-element (FE) model has been developed based on the principle and a new set of T-complete functions. The derivation of the new set of trial functions is based mainly on the resolution approach o...

متن کامل

A nine-node quadrilateral FCBI element for incompressible fluid flows

We propose a nine-node ow-condition-based interpolation (FCBI) nite element for the analysis of 2D incompressible ows. Emphasis in the FCBI approach is on obtaining an element that is stable and can be used in rather coarse meshes even when considering high Reynolds number ows. The formulation of the element is presented and the results obtained in the solution of some test cases are given. Cop...

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: Computer Methods in Applied Mechanics and Engineering

سال: 2010

ISSN: 0045-7825

DOI: 10.1016/j.cma.2009.10.012