Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 192
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.
N%-Superconvergence of Finite Element Approximations in the Interior of General Meshes of Triangles
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 192
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.
Publisher:
ISBN:
Category :
Languages : en
Pages : 192
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.
Superconvergence in Galerkin Finite Element Methods
Author: Lars Wahlbin
Publisher: Springer
ISBN: 3540494014
Category : Mathematics
Languages : en
Pages : 179
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.
Publisher: Springer
ISBN: 3540494014
Category : Mathematics
Languages : en
Pages : 179
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.
Finite Element Methods
Author: Michel Krizek
Publisher: Routledge
ISBN: 1351448609
Category : Mathematics
Languages : en
Pages : 370
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.
Publisher: Routledge
ISBN: 1351448609
Category : Mathematics
Languages : en
Pages : 370
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.
Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
Author: Ivo Babuska
Publisher: Springer Science & Business Media
ISBN: 9780387945422
Category : Mathematics
Languages : en
Pages : 516
Book Description
With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.
Publisher: Springer Science & Business Media
ISBN: 9780387945422
Category : Mathematics
Languages : en
Pages : 516
Book Description
With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.
Superconvergence in Finite Element Methods and Meshes which are Locally Symmetric with Respect to a Point
Author: Alfred H. Schatz
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 28
Book Description
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 28
Book Description
Journal of the Society for Industrial and Applied Mathematics. Series B: Numerical Analysis
Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 842
Book Description
Publisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 842
Book Description
Scientific and Technical Aerospace Reports
Applied Mechanics Reviews
Anisotropic Finite Elements: Local Estimates and Applications
Author: Thomas Apel
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 268
Book Description
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 268
Book Description
Superconvergence of Finite Element Approximations by a Computer-based Approach
Author: Srihari Kumar Gangaraj
Publisher:
ISBN:
Category :
Languages : en
Pages : 406
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 406
Book Description