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Author | : Vidar Thomee |
Publisher | : Springer Science & Business Media |
Total Pages | : 310 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 3662033593 |
Download Galerkin Finite Element Methods for Parabolic Problems Book in PDF, ePub and Kindle
My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin finite element methods as applied to parabolic partial differential equations. The emphases and selection of topics reflects my own involvement in the field over the past 25 years, and my ambition has been to stress ideas and methods of analysis rather than to describe the most general and farreaching results possible. Since the formulation and analysis of Galerkin finite element methods for parabolic problems are generally based on ideas and results from the corresponding theory for stationary elliptic problems, such material is often included in the presentation. The basis of this work is my earlier text entitled Galerkin Finite Element Methods for Parabolic Problems, Springer Lecture Notes in Mathematics, No. 1054, from 1984. This has been out of print for several years, and I have felt a need and been encouraged by colleagues and friends to publish an updated version. In doing so I have included most of the contents of the 14 chapters of the earlier work in an updated and revised form, and added four new chapters, on semigroup methods, on multistep schemes, on incomplete iterative solution of the linear algebraic systems at the time levels, and on semilinear equations. The old chapters on fully discrete methods have been reworked by first treating the time discretization of an abstract differential equation in a Hilbert space setting, and the chapter on the discontinuous Galerkin method has been completely rewritten.
Author | : Vidar Thomée |
Publisher | : Springer Science & Business Media |
Total Pages | : 320 |
Release | : 2010 |
Genre | : |
ISBN | : 9783540632368 |
Download Galerkin Finite Element Methods for Parabolic Problems Book in PDF, ePub and Kindle
Author | : V. Thomee |
Publisher | : Springer |
Total Pages | : 243 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540387935 |
Download Galerkin Finite Element Methods for Parabolic Problems Book in PDF, ePub and Kindle
Author | : V. Thomee |
Publisher | : |
Total Pages | : 248 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662179895 |
Download Galerkin Finite Element Methods for Parabolic Problems Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2004 |
Genre | : |
ISBN | : |
Download Lecture Notes in Mathematics : Galerkin Finite Element Methods for Parabolic Problems Book in PDF, ePub and Kindle
Author | : National Aeronautics and Space Administration (NASA) |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 34 |
Release | : 2018-06-21 |
Genre | : |
ISBN | : 9781721650644 |
Download Discontinuous Galerkin Finite Element Method for Parabolic Problems Book in PDF, ePub and Kindle
In this paper, we develop a time and its corresponding spatial discretization scheme, based upon the assumption of a certain weak singularity of parallel ut(t) parallel Lz(omega) = parallel ut parallel2, for the discontinuous Galerkin finite element method for one-dimensional parabolic problems. Optimal convergence rates in both time and spatial variables are obtained. A discussion of automatic time-step control method is also included. Kaneko, Hideaki and Bey, Kim S. and Hou, Gene J. W. Langley Research Center
Author | : Bernardo Cockburn |
Publisher | : Springer Science & Business Media |
Total Pages | : 468 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642597211 |
Download Discontinuous Galerkin Methods Book in PDF, ePub and Kindle
A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.
Author | : Beatrice Riviere |
Publisher | : SIAM |
Total Pages | : 201 |
Release | : 2008-12-18 |
Genre | : Mathematics |
ISBN | : 089871656X |
Download Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations Book in PDF, ePub and Kindle
Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.
Author | : P.G. Ciarlet |
Publisher | : Elsevier |
Total Pages | : 551 |
Release | : 1978-01-01 |
Genre | : Mathematics |
ISBN | : 0080875254 |
Download The Finite Element Method for Elliptic Problems Book in PDF, ePub and Kindle
The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author’s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on “Additional Bibliography and Comments should provide many suggestions for conducting seminars.
Author | : Andris Lasis |
Publisher | : |
Total Pages | : 394 |
Release | : 2005 |
Genre | : Differential equations, Nonlinear |
ISBN | : |
Download Hp-version Discontinuous Galerkin Finite Element Methods for Nonlinear Parabolic Problems Book in PDF, ePub and Kindle