Superconvergence of Finite Element Approximations by a Computer-based Approach PDF Download

Author: Srihari Kumar Gangaraj
Publisher:
ISBN:
Category :
Languages : en
Pages : 406

View

Book Description

Author: Michel Krizek
Publisher: Routledge
ISBN: 1351448617
Category : Mathematics
Languages : en
Pages : 368

View

Book Description
""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 192

View

Book Description
In this paper we introduce a new definition of super convergence - the n%-superconvergence, which generalizes the classical idea of superconvergence to general meshes. We show that this new definition can be employed to determine the regions of least error in any element in the interior of any grid by using a computer-based approach. We present numerical results for the standard displacement finite element method for the scalar equation of orthotropic heat- conduction. The results demonstrate that n% superconvergence is applicable to the complex grids which are employed in practical engineering computations.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 91

View

Book Description
In 1 we addressed the problem of existence of superconvergence points by a computer-based proof and we gave a detailed study of the superconvergence points for the components of the gradient in finite element solutions for Laplace's and Poisson's equations. Here we employ the same approach to study the superconvergence for the gradient of the displacement, the strain and the stress for finite element solutions of the equations of plane elasticity. We give the superconvergence points for the components of the gradient of the displacement, the strain and stress for meshes of triangles and squares of degree p, 1

Author: Ivo Babuška
Publisher:
ISBN:
Category : Composite materials
Languages : en
Pages : 59

View

Book Description

Author: Rabee Jari
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659333170
Category :
Languages : en
Pages : 104

View

Book Description
The finite element method (FEM) is a discretization technique for solving partial differential equations. It widely used in many fields of engineering such as computational fluid dynamics. The superconvergence of finite element solutions is an interesting and useful phenomenon in the scientific computing of real world problems and has become an area of active research in recent years. A general superconvergence of discontinuous Galerkin finite element method for the elliptic problem is established by using L DEGREES2-projection method. Regularity assumptions for the elliptic problem with regular partitions are required. Numerical experiments are given to verify the theoretical resu

Author: Lars Wahlbin
Publisher: Springer
ISBN: 3540494014
Category : Mathematics
Languages : en
Pages : 179

View

Book Description
This book is essentially a set of lecture notes from a graduate seminar given at Cornell in Spring 1994. It treats basic mathematical theory for superconvergence in the context of second order elliptic problems. It is aimed at graduate students and researchers. The necessary technical tools are developed in the text although sometimes long proofs are merely referenced. The book gives a rather complete overview of the field of superconvergence (in time-independent problems). It is the first text with such a scope. It includes a very complete and up-to-date list of references.

Author: Chandra Shekhar Upadhyay
Publisher:
ISBN:
Category :
Languages : en
Pages : 582

View

Book Description

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 692

View

Book Description

Author: Rabeea Hadi Jari
Publisher:
ISBN:
Category : Differential equations, Elliptic
Languages : en
Pages : 162

View

Book Description