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Numerical Approximation Methods for Elliptic Boundary Value Problems

2007-12-22 Mathematics
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Release : 2007-12-22
Genre : Mathematics
Kind : eBook
Book Rating : 056/5 ( reviews)

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Book Synopsis Numerical Approximation Methods for Elliptic Boundary Value Problems by : Olaf Steinbach

Download or read book Numerical Approximation Methods for Elliptic Boundary Value Problems written by Olaf Steinbach. This book was released on 2007-12-22. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.

Approximation of Elliptic Boundary-Value Problems

2007-01-01 Mathematics
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Release : 2007-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 915/5 ( reviews)

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Book Synopsis Approximation of Elliptic Boundary-Value Problems by : Jean-Pierre Aubin

Download or read book Approximation of Elliptic Boundary-Value Problems written by Jean-Pierre Aubin. This book was released on 2007-01-01. Available in PDF, EPUB and Kindle. Book excerpt: A marriage of the finite-differences method with variational methods for solving boundary-value problems, the finite-element method is superior in many ways to finite-differences alone. This self-contained text for advanced undergraduates and graduate students is intended to imbed this combination of methods into the framework of functional analysis and to explain its applications to approximation of nonhomogeneous boundary-value problems for elliptic operators. The treatment begins with a summary of the main results established in the book. Chapter 1 introduces the variational method and the finite-difference method in the simple case of second-order differential equations. Chapters 2 and 3 concern abstract approximations of Hilbert spaces and linear operators, and Chapters 4 and 5 study finite-element approximations of Sobolev spaces. The remaining four chapters consider several methods for approximating nonhomogeneous boundary-value problems for elliptic operators.

Adaptive Nonlinear System Identification

2007-09-12 Science
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Release : 2007-09-12
Genre : Science
Kind : eBook
Book Rating : 281/5 ( reviews)

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Book Synopsis Adaptive Nonlinear System Identification by : Tokunbo Ogunfunmi

Download or read book Adaptive Nonlinear System Identification written by Tokunbo Ogunfunmi. This book was released on 2007-09-12. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on System Identification applications of the adaptive methods presented. but which can also be applied to other applications of adaptive nonlinear processes. Covers recent research results in the area of adaptive nonlinear system identification from the authors and other researchers in the field.

Numerical Approximation Methods for Elliptic Boundary Value Problems

2007-11-26 Mathematics
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Release : 2007-11-26
Genre : Mathematics
Kind : eBook
Book Rating : 125/5 ( reviews)

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Book Synopsis Numerical Approximation Methods for Elliptic Boundary Value Problems by : Olaf Steinbach

Download or read book Numerical Approximation Methods for Elliptic Boundary Value Problems written by Olaf Steinbach. This book was released on 2007-11-26. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.

Numerical Methods For Elliptic Problems With Singularities: Boundary Mtds And Nonconforming Combinatn

1990-12-27 Mathematics
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Release : 1990-12-27
Genre : Mathematics
Kind : eBook
Book Rating : 80X/5 ( reviews)

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Book Synopsis Numerical Methods For Elliptic Problems With Singularities: Boundary Mtds And Nonconforming Combinatn by : Zi-cai Li

Download or read book Numerical Methods For Elliptic Problems With Singularities: Boundary Mtds And Nonconforming Combinatn written by Zi-cai Li. This book was released on 1990-12-27. Available in PDF, EPUB and Kindle. Book excerpt: This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities. Part I gives the boundary methods which use analytic and singular expansions, and Part II the nonconforming methods combining finite element methods (FEM) (or finite difference methods (FDM)) and singular (or analytic) expansions. The advantage of these methods over the standard FEM and FDM is that they can cope with complicated geometrical boundaries and boundary conditions as well as singularity. Therefore, accurate numerical solutions near singularities can be obtained. The description of methods, error bounds, stability analysis and numerical experiments are provided for the typical problems with angular, interface and infinity singularities. However, the approximate techniques and coupling strategy given can be applied to solving other PDE and engineering problems with singularities as well. This book is derived from the author's Ph. D. thesis which won the 1987 best doctoral dissertation award given by the Canadian Applied Mathematics Society.

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