Download or read book A Local Post processing Technique for Improving the Accuracy in Mixed Finite Element Approximations written by James H. Bramble and published by . This book was released on 1988 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mixed Finite Elements Compatibility Conditions and Applications written by Daniele Boffi and published by Springer Science & Business Media. This book was released on 2008-04-14 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.
Download or read book Mixed and Hybrid Finite Element Methods written by Franco Brezzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on non-standard finite element methods is evolving rapidly and in this text Brezzi and Fortin give a general framework in which the development is taking place. The presentation is built around a few classic examples: Dirichlet's problem, Stokes problem, Linear elasticity. The authors provide with this publication an analysis of the methods in order to understand their properties as thoroughly as possible.
Download or read book Multigrid Methods written by James H Bramble and published by Routledge. This book was released on 2019-01-22 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.
Download or read book Finite Element Methods written by 林群 and published by Elsevier. This book was released on 2007-11-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Superconvergence in Galerkin Finite Element Methods written by Lars Wahlbin and published by Springer. This book was released on 2006-11-14 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Posteriori Error Estimation for Hybridized Mixed and Discontinuous Galerkin Methods written by Johannes Neher and published by Logos Verlag Berlin GmbH. This book was released on 2012 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a variety of finite element based methods applicable to the discretization of second order elliptic boundary value problems in mixed form. However, it is expensive to solve the resulting discrete linear system due to its size and its algebraic structure. Hybridization serves as a tool to circumvent these difficulties. Furthermore hybridization is an elegant concept to establish connections among various finite element methods. In this work connections between the methods and their hybridized counterparts are established after showing the link between three different formulations of the elliptic model problem. The main part of the work contains the development of a reliable a posteriori error estimator, which is applicable to all of the methods above. This estimator is the key ingredient of an adaptive numerical approximation of the original boundary value problem. Finally, a number of numerical tests is discussed in order to exhibit the performance of the adaptive hybridized methods.
Download or read book Error Estimates for Advanced Galerkin Methods written by Marcus Olavi Rüter and published by Springer Nature. This book was released on 2019-11-07 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a compendium of established and novel error estimation procedures applied in the field of Computational Mechanics. It also includes detailed derivations of these procedures to offer insights into the concepts used to control the errors obtained from employing Galerkin methods in finite and linearized hyperelasticity. The Galerkin methods introduced are considered advanced methods because they remedy certain shortcomings of the well-established finite element method, which is the archetypal Galerkin (mesh-based) method. In particular, this monograph focuses on the systematical derivation of the shape functions used to construct both Galerkin mesh-based and meshfree methods. The mesh-based methods considered are the (conventional) displacement-based, (dual-)mixed, smoothed, and extended finite element methods. In addition, it introduces the element-free Galerkin and reproducing kernel particle methods as representatives of a class of Galerkin meshfree methods. Including illustrative numerical examples relevant to engineering with an emphasis on elastic fracture mechanics problems, this monograph is intended for students, researchers, and practitioners aiming to increase the reliability of their numerical simulations and wanting to better grasp the concepts of Galerkin methods and associated error estimation procedures.
Download or read book Finite Element Methods written by Michel Krizek and published by Routledge. This book was released on 2017-11-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Download or read book Superconvergence of Mixed Finite Element Methods on Rectangular Domains written by Jim Douglas and published by . This book was released on 1988 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Neural Networks In Vision And Pattern Recognition written by Walter Karplus and published by World Scientific. This book was released on 1992-07-15 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The neural network paradigm with its various advantages might be the next promising bridge between artificial intelligence and pattern recognition that will help with the conceptualization of new computational artifacts. This volume contains ten papers which represent some of the work being done in the field, such as in computational neuroscience, pattern recognition, computational vision, and applications.
Download or read book IMACS 91 written by Robert Vichnevetsky and published by . This book was released on 1991 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Climate Change Impacts on Coastal Soil and Water Management written by Zied Haj-Amor and published by CRC Press. This book was released on 2020-01-22 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Climate Change Impacts on Coastal Soil and Water Management discusses the latest approaches for monitoring soil and water degradation in coastal regions under current climate conditions as well as potential further changes in the future. It presents an overview of climate change impacts on soil and water resources and summarizes the adaptation of practical options and strategies to minimize the potential risks, such as land degradation, seawater intrusion, droughts, ocean acidification, etc. The book aims to promote the adoption of best practices, which can be selected and implemented according to the respective local conditions. In addition, the recommendations for specific soil and water use planning strategies to address climate change can also be incorporated into national and international development plans. Features: • Presents the general properties and analysis of soil and water resource conditions for coastal regions • Offers practical advice for adapting to climate change through case studies from diverse coastal settings around the globe • Presents information in an accessible format for practitioners in soil and water sciences, as well as for those working in related disciplines • Includes end-of-chapter summaries and homework problems Written primarily for practicing soil, water, agricultural, and environmental scientists, this book provides the latest research on soil and water resources management, soil processes and properties, and the related effects of climate change. It assesses the effectiveness of the methods currently in use and under future climate change scenarios as well.
Download or read book Chinese Journal of Numerical Mathematics and Applications written by and published by . This book was released on 2005 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research in Progress written by and published by . This book was released on 1988 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proposal for Center of Excellence in Mathematical Sciences 1990 written by Cornell University. Mathematical Sciences Institute and published by . This book was released on 1990 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics of Computation written by and published by . This book was released on 2006 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
