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A Streamline Diffusion Method For Nonconforming Finite Element Approximations Applied To Convection Diffusion Problems
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Book Synopsis A Streamline Diffusion Method for Nonconforming Finite Element Approximations Applied to Convection Diffusion Problems by :
Download or read book A Streamline Diffusion Method for Nonconforming Finite Element Approximations Applied to Convection Diffusion Problems written by and published by . This book was released on 1997 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Least-squares Streamline Diffusion Finite Element Approximations to Singularly Perturbed Convection-diffusion Problems by :
Download or read book Least-squares Streamline Diffusion Finite Element Approximations to Singularly Perturbed Convection-diffusion Problems written by and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we introduce and study a least-squares finite element approximation for singularly perturbed convection-diffusion equations of second order. By introducing the flux (diffusive plus convective) as a new unknown, the problem is written in a mixed form as a first order system. Further, the flux is augmented by adding the lower order terms with a small parameter. The new first order system is approximated by the least-squares finite element method using the minus one norm approach of Bramble, Lazarov, and Pasciak [2]. Further, we estimate the error of the method and discuss its implementation and the numerical solution of some test problems.
Book Synopsis Algebraic Multigrid Methods for Nonconforming Streamline Diffusion Finite Element Discretization of Convection Diffusion Problems by : Svetozara I. Petrova
Download or read book Algebraic Multigrid Methods for Nonconforming Streamline Diffusion Finite Element Discretization of Convection Diffusion Problems written by Svetozara I. Petrova and published by . This book was released on 1997 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonconforming Streamline Diffusion Finite Element Methods for Convection Diffusion Problems by : J. M. Maubach
Download or read book Nonconforming Streamline Diffusion Finite Element Methods for Convection Diffusion Problems written by J. M. Maubach and published by . This book was released on 1996 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adaptive Streamline Diffusion Finite Element Methods for Convection-diffusion Problems by : Kenneth Eriksson
Download or read book Adaptive Streamline Diffusion Finite Element Methods for Convection-diffusion Problems written by Kenneth Eriksson and published by . This book was released on 1990 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Advances In Numerical Methods And Applications Ii - Proceedings Of The Fourth International Conference by : Panayot S Vassilevski
Download or read book Recent Advances In Numerical Methods And Applications Ii - Proceedings Of The Fourth International Conference written by Panayot S Vassilevski and published by World Scientific. This book was released on 1999-07-05 with total page 925 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 4th International Conference on Numerical Methods and Applications. The major topics covered include: general finite difference, finite volume, finite element and boundary element methods, general numerical linear algebra and parallel computations, numerical methods for nonlinear problems and multiscale methods, multigrid and domain decomposition methods, CFD computations, mathematical modeling in structural mechanics, and environmental and engineering applications. The volume reflects the current research trends in the specified areas of numerical methods and their applications.
Book Synopsis Numerical Methods for Singularly Perturbed Differential Equations by : Hans-Görg Roos
Download or read book Numerical Methods for Singularly Perturbed Differential Equations written by Hans-Görg Roos and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of singular perturbed differential equations began early in this century, when approximate solutions were constructed from asymptotic ex pansions. (Preliminary attempts appear in the nineteenth century [vD94].) This technique has flourished since the mid-1960s. Its principal ideas and methods are described in several textbooks. Nevertheless, asymptotic ex pansions may be impossible to construct or may fail to simplify the given problem; then numerical approximations are often the only option. The systematic study of numerical methods for singular perturbation problems started somewhat later - in the 1970s. While the research frontier has been steadily pushed back, the exposition of new developments in the analysis of numerical methods has been neglected. Perhaps the only example of a textbook that concentrates on this analysis is [DMS80], which collects various results for ordinary differential equations, but many methods and techniques that are relevant today (especially for partial differential equa tions) were developed after 1980.Thus contemporary researchers must comb the literature to acquaint themselves with earlier work. Our purposes in writing this introductory book are twofold. First, we aim to present a structured account of recent ideas in the numerical analysis of singularly perturbed differential equations. Second, this important area has many open problems and we hope that our book will stimulate further investigations.Our choice of topics is inevitably personal and reflects our own main interests.
Book Synopsis Adaptive Streamline Diffusion Finite Element Methods for Time Dependent Convection Diffusion Problems by : Kenneth Eriksson
Download or read book Adaptive Streamline Diffusion Finite Element Methods for Time Dependent Convection Diffusion Problems written by Kenneth Eriksson and published by . This book was released on 1993 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Alfredo Bermúdez de Castro Publisher :Springer Science & Business Media ISBN 13 :3540342885 Total Pages :1202 pages Book Rating :4.5/5 (43 download)
Book Synopsis Numerical Mathematics and Advanced Applications by : Alfredo Bermúdez de Castro
Download or read book Numerical Mathematics and Advanced Applications written by Alfredo Bermúdez de Castro and published by Springer Science & Business Media. This book was released on 2007-10-08 with total page 1202 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings collect lectures given at ENUMATH 2005, the 6th European Conference on Numerical Mathematics and Advanced Applications held in Santiago de Compostela, Spain in July, 2005. Topics include applications such as fluid dynamics, electromagnetism, structural mechanics, interface problems, waves, finance, heat transfer, unbounded domains, numerical linear algebra, convection-diffusion, as well as methodologies such as a posteriori error estimates, discontinuous Galerkin methods, multiscale methods, optimization, and more.
Book Synopsis The Three-field Formulation for Elliptic Equations by : Gerd Rapin
Download or read book The Three-field Formulation for Elliptic Equations written by Gerd Rapin and published by Cuvillier Verlag. This book was released on 2003 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of the Society for Industrial and Applied Mathematics. Series B: Numerical Analysis by : Society for Industrial and Applied Mathematics
Download or read book Journal of the Society for Industrial and Applied Mathematics. Series B: Numerical Analysis written by Society for Industrial and Applied Mathematics and published by . This book was released on 2003-02 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conforming and Nonconforming Finite Element Methods of Streamline Diffusion Type for Solving the Stationary Navier-Stokes Equations by : Lutz Tobiska
Download or read book Conforming and Nonconforming Finite Element Methods of Streamline Diffusion Type for Solving the Stationary Navier-Stokes Equations written by Lutz Tobiska and published by . This book was released on 1990 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Adaptive Finite Element Method for Convection-diffusion Problems by Interpolation Techniques by : Jens Lang
Download or read book An Adaptive Finite Element Method for Convection-diffusion Problems by Interpolation Techniques written by Jens Lang and published by . This book was released on 1991 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "For adaptive solution of convection-diffusion problems with the streamline-diffusion finite element method, an error estimator based on interpolation techniques is developed. It can be shown that for correctness of this error estimator a restriction of the maximum angle is to be sufficient. Compared to usual methods, the adaptive process leads to more accurate solutions at much less computational cost. Numerical tests are enclosed."
Book Synopsis Maximum Principle in Finite Element Models for Convection-diffusion Phenomena by : Tsutomu Ikeda
Download or read book Maximum Principle in Finite Element Models for Convection-diffusion Phenomena written by Tsutomu Ikeda and published by North Holland. This book was released on 1983 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling & Data Analysis in Biotechnology & Medical Engineering
Book Synopsis Membrane Reactors by : Andreas Seidel-Morgenstern
Download or read book Membrane Reactors written by Andreas Seidel-Morgenstern and published by John Wiley & Sons. This book was released on 2010-03-09 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative work represents a broad treatment of the field, including the basic principles of membrane reactors, a comparative study of these and conventional fixed-bed reactors or multi-tube reactors, modeling, industrial applications, and emerging applications -- all based on case studies and model reactions with a stringent mathematical framework. The significant progress made over the last few years in this inherently hot multidisciplinary field is summarized in a competent manner, such that the novice can grasp the elementary concepts, while professionals can familiarize themselves with the latest developments in the area. For the industrial practitioner, this practical book covers all important current and potential future applications.
Book Synopsis The Mimetic Finite Difference Method for Elliptic Problems by : Lourenco Beirao da Veiga
Download or read book The Mimetic Finite Difference Method for Elliptic Problems written by Lourenco Beirao da Veiga and published by Springer. This book was released on 2014-05-22 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for those scientists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examples are provided to help the reader to understand and implement this method. This monograph also provides the essential background material and describes basic mathematical tools required to develop further the mimetic discretization technology and to extend it to various applications.
Book Synopsis Moving Mesh Finite Element Method for Time Dependent Convection-Diffusion Problems by : Matthew Maxwell McCoy
Download or read book Moving Mesh Finite Element Method for Time Dependent Convection-Diffusion Problems written by Matthew Maxwell McCoy and published by . This book was released on 2021 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moving mesh finite element method (MM-FEM) has been a significant force in numerically approximating solutions to differential equations that otherwise exhibit spurious, artificial oscillations. This is especially true for singularly perturbed convection-diffusion problems. In the presence of vanishing molecular diffusivity, MM- FEM may not suffice. The numerical method may exhibit under-diffusive properties and other methods need to be integrated into the classic Galerkin formulation. We implement the so-called streamline upwind Petrov-Galerkin method into the adaptive moving mesh method. In particular, we investigate the computation of so-called enhanced diffusivity for spatiotemporal periodic turbulent flows. We look at the case of Brownian tracer particles, i.e. negligible inertial effects. These types of passive advection-diffusion models are used in atmospheric models with turbulent diffusion, so-called Benard-advection cells, and porous materials, along with many other areas of science and engineering. As molecular diffusivity decreases, interior and boundary layers propagate along the streamlines. Once spurious oscillations are present, they too will propagate along the streamlines. Thus, specialized numerical methods are needed in order to resolve these areas of the domain where large gradients are present. The discrete maximum principle is also investigated for general anisotropic time dependent convection-diffusion equations. We obtain lower and upper bounds for time steps as well as obtain conditions on the mass and stiffness matrices resulting from the SUPG formulation. Our approach depends on two meshes and taking into consideration two diffusion matrices and applying metric intersection.
