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Author : Alfio Quarteroni
Release : 1979
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Hybrid finite element approximation of elliptic boundary value problems by : Alfio Quarteroni
Download or read book Hybrid finite element approximation of elliptic boundary value problems written by Alfio Quarteroni. This book was released on 1979. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Aubin
Release : 2007-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 915/5 ( reviews)
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.
Author : Ivo Babuška
Release : 1977
Genre : Finite element method
Kind : eBook
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Book Synopsis Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems by : Ivo Babuška
Download or read book Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems written by Ivo Babuška. This book was released on 1977. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivo Babuška
Release : 1975
Genre : Boundary value problems
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems by : Ivo Babuška
Download or read book Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems written by Ivo Babuška. This book was released on 1975. Available in PDF, EPUB and Kindle. Book excerpt: Mixed-hybrid finite element approximations are described for second-order elliptic boundary-value problems in which independent approximations are used for the solution and its gradient on the interior of an element and the trace of the gradients on the boundary of the element. This leads to nonconforming finite elements. The independent boundary approximations are introduced by means of Lagrange multipliers. A-priori error estimates are derived. several other finite element models are also obtained as special cases. (Author).
Author : Olaf Steinbach
Release : 2007-12-22
Genre : Mathematics
Kind : eBook
Book Rating : 056/5 ( reviews)
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.
