Uniform Convergence Rates For Eulerian And Lagrangian Finite Element Approximations Of Convection Dominated Diffusion Problems
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Uniform Convergence Rates For Eulerian And Lagrangian Finite Element Approximations Of Convection Dominated Diffusion Problems
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Author : Markus Bause
language : en
Publisher:
Release Date : 1999
Uniform Convergence Rates For Eulerian And Lagrangian Finite Element Approximations Of Convection Dominated Diffusion Problems written by Markus Bause and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
The Discontinuous Enrichment Method Dem For Multi Scale Transport Problems
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Author : Irina Kalashnikova
language : en
Publisher: Stanford University
Release Date : 2011
The Discontinuous Enrichment Method Dem For Multi Scale Transport Problems written by Irina Kalashnikova and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
A discontinuous enrichment method (DEM) for the efficient finite element solution of advection-dominated transport problems in fluid mechanics whose solutions are known to possess multi-scale features is developed. Attention is focused specifically on the two-dimensional (2D) advection-diffusion equation, the usual scalar model for the Navier-Stokes equations. Following the basic DEM methodology [1], the usual Galerkin polynomial approximation is locally enriched by the free-space solutions to the governing homogeneous partial differential equation (PDE). For the constant-coefficient advection-diffusion equation, several families of free-space solutions are derived. These include a family of exponential functions that exhibit a steep gradient in some flow direction, and a family of discontinuous polynomials. A parametrization of the former class of functions with respect to an angle parameter is developed, so as to enable the systematic design and implementation of DEM elements of arbitrary orders. It is shown that the original constant-coefficient methodology has a natural extension to variable-coefficient advection-diffusion problems. For variable-coefficient transport problems, the approximation properties of DEM can be improved by augmenting locally the enrichment space with a "higher-order" enrichment function that solves the governing PDE with the advection field a(x) linearized to second order. A space of Lagrange multipliers, introduced at the element interfaces to enforce a weak continuity of the solution and related to the normal derivatives of the enrichment functions, is developed. The construction of several low and higher-order DEM elements fitting this paradigm is discussed in detail. Numerical results for several constant as well as variable-coefficient advection-diffusion benchmark problems reveal that these DEM elements outperform their standard Galerkin and stabilized Galerkin counterparts of comparable computational complexity by a large margin, especially when the flow is advection-dominated.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2008
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Moving Space Time Finite Element Methods For Convection Diffusion Problems
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Author : Rafael Brigham Neves Ferreira Santos
language : en
Publisher:
Release Date : 1991
Moving Space Time Finite Element Methods For Convection Diffusion Problems written by Rafael Brigham Neves Ferreira Santos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Uniform In Varepsilon Convergence Of Finite Element Method For Convection Diffusion Equations Using A Priori Chosen Meshes
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Author : Mariana Nikolowa
language : en
Publisher:
Release Date : 1998
Uniform In Varepsilon Convergence Of Finite Element Method For Convection Diffusion Equations Using A Priori Chosen Meshes written by Mariana Nikolowa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Higher Order Finite Element Methods
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Author : Pavel Solin
language : en
Publisher: CRC Press
Release Date : 2003-07-28
Higher Order Finite Element Methods written by Pavel Solin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-28 with Mathematics categories.
The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-order hp-adaptive schemes. These techniques respond well to the increasing complexity of engineering simulations and
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1991
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mechanics, Applied categories.
International Aerospace Abstracts
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Author :
language : en
Publisher:
Release Date : 1998
International Aerospace Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Aeronautics categories.
Fundamental Aspects Of Combustion
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Author : Amable Linan
language : en
Publisher: Oxford University Press on Demand
Release Date : 1993
Fundamental Aspects Of Combustion written by Amable Linan and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Literary Criticism categories.
This monograph focuses on the science of combustion, exploring its technological, social, and philosophical aspects. Presented here is a systematic overview of the field, with up-to-date treatments of topics of central importance: diffusion flames, deflagrations, detonations, flammability, and explosions. Special emphasis is given to turbulent combustion so that the many different approaches to this multifaceted subject can be exposed and categorized in a systematic manner. The author offers his projections for future developments, including identification of outstanding research areas. This book is a concise and penetrating overview of the field of combustion history and research, and will be of interest to motivated non-specialists interested in more than a facile exploration of the subject.
Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen
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Author :
language : de
Publisher:
Release Date : 1996
Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with German imprints categories.