Superconvergence in Galerkin Finite Element Methods PDF Download
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Author: Lars Wahlbin
Publisher: Springer
ISBN: 3540494014
Category : Mathematics
Languages : en
Pages : 179
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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: Lars Wahlbin
Publisher: Springer
ISBN: 3540494014
Category : Mathematics
Languages : en
Pages : 179
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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: Alfred H. Schatz
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 28
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Book Description
Author: Lars B. Wahlbin
Publisher:
ISBN:
Category :
Languages : en
Pages : 32
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Book Description
Author: Ivo Babuska
Publisher: Springer Science & Business Media
ISBN: 9780387945422
Category : Mathematics
Languages : en
Pages : 516
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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.
Author: Richard Dwayne Dunlap
Publisher:
ISBN:
Category :
Languages : en
Pages : 172
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Book Description
Author: Zhongci Shi
Publisher: American Mathematical Soc.
ISBN: 0821851632
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Describes significant contributions made by Chinese mathematicians over the past decades, some of which complement western developments in the field. Contributors range from senior mathematicians to young researchers. Topics include finite element methods; computational fluid mechanics; numerical solutions of differential equations; computational methods in dynamic systems; numerical algebra; approximation; and optimization. Lacks an index. Annotation copyright by Book News, Inc., Portland, OR
Author: Palle E. T. J?rgensen
Publisher: World Scientific
ISBN: 981270700X
Category : Science
Languages : en
Pages : 395
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Book Description
This book presents state-of-the-art lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phase-field equations. It also discusses some interesting topics related to Stokes equations, Schrdinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book.This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries.
Author: Rolf Jeltsch
Publisher: European Mathematical Society
ISBN: 9783037190562
Category : Mathematics
Languages : en
Pages : 528
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Book Description
The International Council for Industrial and Applied Mathematics (ICIAM) is the worldwide organization of societies which are dedicated primarily or significantly to applied and/or industrial mathematics. The ICIAM Congresses, held every 4 years, are run under the auspices of the Council with the aim to advance the applications of mathematics in all parts of the world. The Sixth ICIAM Congress was held in Zurich, Switzerland, July 16-20, 2007, and was attended by more than 3000 scientists from 47 countries. This volume collects the invited lectures of this Congress, the appreciations of the ICIAM Prize winners' achievements, and the Euler Lecture celebrating the 300th anniversary of Euler. The authors of these papers are leading researchers in their fields, rigorously selected by a distinguished international program committee. The book presents an overview of contemporary applications of mathematics, new perspectives, and open problems. Topics embrace analysis of and numerical methods for: linear and nonlinear partial differential equations multiscale modeling nonlinear problems involving integral operators controllability and observability asymptotic solutions of Hamilton-Jacobi equations contact problems in solid mechanics topology optimization of structures dissipation inequalities in systems theory greedy algorithms sampling in function space order-value optimization parabolic partial differential equations and deterministic games Moreover, particular applications involve risk in financial markets, radar imaging, brain dynamics, and complex geometric optics applied to acoustics and electromagnetics.
Author: 林群
Publisher: Elsevier
ISBN: 9787030166562
Category : Business & Economics
Languages : en
Pages : 342
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Book Description
Distributed by Elsevier Science on behalf of Science Press. This book discusses the accuracy of various finite element approximations and how to improve them, with the help of extrapolations and super convergence's post-processing technique. The discussion is based on asymptotic expansions for finite elements and finally reduces to the technique of integration by parts, embedding theorems and norm equivalence lemmas. The book is also devoted to explaining the origin of theorems. Masterly exposition of the accuracy and improvement of finite element methods, highlighting the postprocessing Emphasis on understanding of higher knowledge Accessible to students, engaging for experts and professionals Written by leading Chinese mathematicians, available internationally for the first time
Author: Arieh Iserles
Publisher: Cambridge University Press
ISBN: 9780521825238
Category : Juvenile Nonfiction
Languages : en
Pages : 536
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Book Description
An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.
