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Book Expanded Mixed Finite Element Methods for Quasilinear Second Order Elliptic Problems II

Download or read book Expanded Mixed Finite Element Methods for Quasilinear Second Order Elliptic Problems II written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Expanded Mixed Finite Element Methods for Linear Second Order Elliptic Problems I

Download or read book Expanded Mixed Finite Element Methods for Linear Second Order Elliptic Problems I written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Expanded Mixed Finite Element Methods for Linear Second Order Elliptic Problems

Download or read book Expanded Mixed Finite Element Methods for Linear Second Order Elliptic Problems written by Z. Chen and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Estimates for and Properties of Mixed Finite Element Methods for Elliptic Problems

Download or read book Estimates for and Properties of Mixed Finite Element Methods for Elliptic Problems written by Alan Robert Demlow and published by . This book was released on 2002 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book ESAIM

Download or read book ESAIM written by and published by . This book was released on 2006 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Finite Element Method for Elliptic Problems

Download or read book The Finite Element Method for Elliptic Problems written by Philippe G. Ciarlet and published by SIAM. This book was released on 2002-01-01 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method for Elliptic Problems is the only book available that analyzes in depth the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, as well as a working textbook for graduate courses in numerical analysis. It includes many useful figures, and there are many exercises of varying difficulty. Although nearly 25 years have passed since this book was first published, the majority of its content remains up-to-date. Chapters 1 through 6, which cover the basic error estimates for elliptic problems, are still the best available sources for material on this topic. The material covered in Chapters 7 and 8, however, has undergone considerable progress in terms of new applications of the finite element method; therefore, the author provides, in the Preface to the Classics Edition, a bibliography of recent texts that complement the classic material in these chapters. Audience: this book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces. Other than these basics, the book is mathematically self-contained.

Book Advances in Internetworking  Data   Web Technologies

Download or read book Advances in Internetworking Data Web Technologies written by Leonard Barolli and published by Springer. This book was released on 2017-05-25 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest research findings, innovative research results, methods and development techniques, from both theoretical and practical perspectives, in the emerging areas of information networking, data and Web technologies. It gathers papers originally presented at the 5th International Conference on Emerging Internetworking, Data & Web Technologies (EIDWT-2017) held 10–11 June 2017 in Wuhan, China. The conference is dedicated to the dissemination of original contributions that are related to the theories, practices and concepts of emerging internetworking and data technologies – and most importantly, to how they can be applied in business and academia to achieve a collective intelligence approach. Information networking, data and Web technologies are currently undergoing a rapid evolution. As a result, they are now expected to manage increasing usage demand, provide support for a significant number of services, consistently deliver Quality of Service (QoS), and optimize network resources. Highlighting these aspects, the book discusses methods and practices that combine various internetworking and emerging data technologies to capture, integrate, analyze, mine, annotate, and visualize data, and make it available for various users and applications.

Book Finite Elements II

    Book Details:
  • Author : Alexandre Ern
  • Publisher : Springer Nature
  • Release : 2021-04-22
  • ISBN : 3030569233
  • Pages : 491 pages

Download or read book Finite Elements II written by Alexandre Ern and published by Springer Nature. This book was released on 2021-04-22 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance scientific literacy. Volume II is divided into 32 chapters plus one appendix. The first part of the volume focuses on the approximation of elliptic and mixed PDEs, beginning with fundamental results on well-posed weak formulations and their approximation by the Galerkin method. The material covered includes key results such as the BNB theorem based on inf-sup conditions, Céa's and Strang's lemmas, and the duality argument by Aubin and Nitsche. Important implementation aspects regarding quadratures, linear algebra, and assembling are also covered. The remainder of Volume II focuses on PDEs where a coercivity property is available. It investigates conforming and nonconforming approximation techniques (Galerkin, boundary penalty, Crouzeix—Raviart, discontinuous Galerkin, hybrid high-order methods). These techniques are applied to elliptic PDEs (diffusion, elasticity, the Helmholtz problem, Maxwell's equations), eigenvalue problems for elliptic PDEs, and PDEs in mixed form (Darcy and Stokes flows). Finally, the appendix addresses fundamental results on the surjectivity, bijectivity, and coercivity of linear operators in Banach spaces.

Book On the Stability and Convergence of Higher Order Mixed Finite Element Methods for Second Order Elliptic Problems

Download or read book On the Stability and Convergence of Higher Order Mixed Finite Element Methods for Second Order Elliptic Problems written by M. Suri and published by . This book was released on 1988 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We investigate the use of higher-order mixed methods for second order elliptic problems by establishing refined stability and convergence estimates which take into account both the mesh size h and polynomial degree p. Our estimates yield asymptotic convergence rates for the p and h-p versions of the finite element method. They also describe more accurately than previously proved estimates the increased the rate of convergence expected when the h-version is used with higher order polynomials. For our analysis, we choose the Raviart-Thomas and the Brezzi-Douglas-Marini elements and establish optimal rates of convergence in both h and p (up to an arbritrary [epsilon] [is greater than] 0)

Book Recent Results on Mixed Finite Element Methods for Second Order Elliptic Problems

Download or read book Recent Results on Mixed Finite Element Methods for Second Order Elliptic Problems written by Istituto di analisi numerica (Pavia, Italy) and published by . This book was released on 1984 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Finite Element Method for Elliptic Problems

Download or read book The Finite Element Method for Elliptic Problems written by P.G. Ciarlet and published by Elsevier. This book was released on 1978-01-01 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Alternating direction Iterative Schemes for Mixed Finite Element Methods for Second Order Elliptic Problems

Download or read book Alternating direction Iterative Schemes for Mixed Finite Element Methods for Second Order Elliptic Problems written by David Cory Brown and published by . This book was released on 1982 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mixed Finite Element Technologies

Download or read book Mixed Finite Element Technologies written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2009-06-16 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mixed finite element methods are a tool to solve complex engineering problems of different nature. This subject is treated in the volume from the engineering and the mathematical point. Different applications are considered which depict the value of mixed formulations in engineering on one side. On the other side the mathematical background is provided including proofs of convergence and stability of these methods and adequate solvers for mixed problems are discussed. This broad spectrum yields an indepth treatment of mixed methods from different perspectives.