An Invitation To The Theory Of The Hybridizable Discontinuous Galerkin Method
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An Invitation To The Theory Of The Hybridizable Discontinuous Galerkin Method
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Author : Shukai Du
language : en
Publisher: Springer Nature
Release Date : 2019-08-29
An Invitation To The Theory Of The Hybridizable Discontinuous Galerkin Method written by Shukai Du and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-29 with Mathematics categories.
This monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method. However, all the tools for the analysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piola transforms) are carefully introduced before being used, so that the reader does not need to go over longforgotten textbooks. Readers include: computational mathematicians, numerical analysts, engineers and scientists interested in new and computationally competitive Discontinuous Galerkin methods. The intended audience includes graduate students in computational mathematics, physics, and engineering, since the prerequisites are quite basic for a second year graduate student who has already taken a non necessarily advanced class in the Finite Element method.
Hybrid High Order Methods
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Author : Matteo Cicuttin
language : en
Publisher: Springer Nature
Release Date : 2021-11-11
Hybrid High Order Methods written by Matteo Cicuttin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-11 with Mathematics categories.
This book provides a comprehensive coverage of hybrid high-order methods for computational mechanics. The first three chapters offer a gentle introduction to the method and its mathematical foundations for the diffusion problem. The next four chapters address applications of increasing complexity in the field of computational mechanics: linear elasticity, hyperelasticity, wave propagation, contact, friction, and plasticity. The last chapter provides an overview of the main implementation aspects including some examples of Matlab code. The book is primarily intended for graduate students, researchers, and engineers working in related fields of application, and it can also be used as a support for graduate and doctoral lectures.
Discontinuous Galerkin Methods
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Author : Bernardo Cockburn
language : en
Publisher:
Release Date : 2009
Discontinuous Galerkin Methods written by Bernardo Cockburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Numerical Methods For Pdes
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Author : Daniele Antonio Di Pietro
language : en
Publisher: Springer
Release Date : 2018-10-12
Numerical Methods For Pdes written by Daniele Antonio Di Pietro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-12 with Mathematics categories.
This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields. Numerical analysis applied to the approximate solution of PDEs is a key discipline in applied mathematics, and over the last few years, several new paradigms have appeared, leading to entire new families of discretization methods and solution algorithms. This book is intended for researchers in the field.
Building Bridges Connections And Challenges In Modern Approaches To Numerical Partial Differential Equations
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Author : Gabriel R. Barrenechea
language : en
Publisher: Springer
Release Date : 2016-10-03
Building Bridges Connections And Challenges In Modern Approaches To Numerical Partial Differential Equations written by Gabriel R. Barrenechea and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-03 with Computers categories.
This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches. The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.
Mathematical Aspects Of Discontinuous Galerkin Methods
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Author : Daniele Antonio Di Pietro
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-03
Mathematical Aspects Of Discontinuous Galerkin Methods written by Daniele Antonio Di Pietro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-03 with Mathematics categories.
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed.
Computational Electromagnetism
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Author : Houssem Haddar
language : en
Publisher: Springer
Release Date : 2015-07-20
Computational Electromagnetism written by Houssem Haddar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-20 with Mathematics categories.
Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro in June 2014, the material covered includes the spatial discretization of Maxwell’s equations in a bounded domain, the numerical approximation of the eddy current model in harmonic regime, the time domain integral equation method (with an emphasis on the electric-field integral equation) and an overview of qualitative methods for inverse electromagnetic scattering problems. Assuming some knowledge of the variational formulation of PDEs and of finite element/boundary element methods, the book is suitable for PhD students and researchers interested in numerical approximation of partial differential equations and scientific computing.
Encyclopedia Of Computational Mechanics
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Author : Erwin Stein
language : en
Publisher:
Release Date : 2004
Encyclopedia Of Computational Mechanics written by Erwin Stein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Dynamics categories.
The Encyclopedia of Computational Mechanics provides a comprehensive collection of knowledge about the theory and practice of computational mechanics.
Computational Electromagnetics
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Author : Carsten Carstensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-02-13
Computational Electromagnetics written by Carsten Carstensen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-13 with Computers categories.
The contributions in this book by leading international experts in the field of electromagnetic field computation cover a wide area of contemporary research activities. They clearly underline the important role of modeling, analysis and numerical methods to provide powerful tools for the simulation of electromagnetic phenomena. The main topics range from the mathematical analysis of Maxwell's equations including its proper spatial discretizations (edge elements, boundary element methods, finite integration), and efficient iterative solution techniques (multigrid, domain decomposition) to multiscale aspects in micromagnetics. The reader will get acquainted with many facets of modern computational techniques and its applications to relevant problems in electromagnetism.
Panther Vs Sherman
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Author : Steven J. Zaloga
language : en
Publisher: Bloomsbury Publishing
Release Date : 2011-03-15
Panther Vs Sherman written by Steven J. Zaloga and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-15 with History categories.
In this book Steven J Zaloga offers a fascinating comparison between the two most important tanks involved in the crucial fighting of 1944, the American Sherman and the German Panther. Placing the reader in the heart of this battle between quality and quantity Zaloga uses a compelling account of the ferocious fighting during the Battle of the Bulge to explain the successes and failures of each tank, highlighting the fact that a tank can only be as good as its crew, weighing up the impact of low morale, high cost and mediocre crew training on the Panther's superiority. With full-colour battlescenes, technical drawings, photographs, digital gunsight views, extracts from crew training manuals and real combat reports, this book brings the titanic battles between the Panther and Sherman to life.