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Higher Order Stabilized Surface Finite Element Methods For Diffusion Convection Reaction Equations On Surfaces With And Without Boundary
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Book Synopsis Higher Order Stabilized Surface Finite Element Methods for Diffusion-convection-reaction Equations on Surfaces with and Without Boundary by : Kristin Simon
Download or read book Higher Order Stabilized Surface Finite Element Methods for Diffusion-convection-reaction Equations on Surfaces with and Without Boundary written by Kristin Simon and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilized Finite Element Methods for Convection-diffusion-reaction, Helmholtz and Stokes Problems by : Prashanth Nadukandi
Download or read book Stabilized Finite Element Methods for Convection-diffusion-reaction, Helmholtz and Stokes Problems written by Prashanth Nadukandi and published by . This book was released on 2012 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 by : Zhongyi Huang
Download or read book Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 written by Zhongyi Huang and published by Springer. This book was released on 2017-10-26 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena. The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics. This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.
Book Synopsis The Least-Squares Finite Element Method by : Bo-nan Jiang
Download or read book The Least-Squares Finite Element Method written by Bo-nan Jiang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.
Book Synopsis Stabilized Finite Element Methods for Time Dependent Convection-diffusion Equations by : Onur Baysal
Download or read book Stabilized Finite Element Methods for Time Dependent Convection-diffusion Equations written by Onur Baysal and published by . This book was released on 2012 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, enriched finite element methods are presented for both steady and unsteady convection diffusion equations. For the unsteady case, we follow the method of lines approach that consists of first discretizing in space and then use some time integrator to solve the resulting system of ordinary differential equation. Discretization in time is performed by the generalized Euler finite difference scheme, while for the space discretization the streamline upwind Petrov-Galerkin (SUPG), the Residual free bubble (RFB), the more recent multiscale (MS) and specific combination of RFB with MS (MIX) methods are considered. To apply the RFB and the MS methods, the steady local problem, which is as complicated as the original steady equation, should be solved in each element. That requirement makes these methods quite expensive especially for two dimensional problems. In order to overcome that drawback the pseudo approximation techniques, which employ only a few nodes in each element, are used. Next, for the unsteady problem a proper adaptation recipe, including these approximations combined with the generalized Euler time discretization, is described. For piecewise linear finite element discretization on triangular grid, the SUPG method is used. Then we derive an efficient stability parameter by examining the relation of the RFB and the SUPG methods. Stability and convergence analysis of the SUPG method applied to the unsteady problem is obtained by extending the Burman's analysis techniques for the pure convection problem. We also suggest a novel operator splitting strategy for the transport equations with nonlinear reaction term. As a result two subproblems are obtained. One of which we may apply using the SUPG stabilization while the other equation can be solved analytically. Lastly, numerical experiments are presented to illustrate the good performance of the method.
Book Synopsis Finite Element Methods for Convection Dominated Flows by : Thomas J. R. Hughes
Download or read book Finite Element Methods for Convection Dominated Flows written by Thomas J. R. Hughes and published by . This book was released on 1979 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Stabilized Finite Element Method for Advection-diffusion Equations on Surfaces by : Maksim A. Olšanskij
Download or read book A Stabilized Finite Element Method for Advection-diffusion Equations on Surfaces written by Maksim A. Olšanskij and published by . This book was released on 2012 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilized Finite Element Methods for Convection-diffusion-reaction, Helmholtz and Stokes Problems by : Prashanth Nadukandi
Download or read book Stabilized Finite Element Methods for Convection-diffusion-reaction, Helmholtz and Stokes Problems written by Prashanth Nadukandi and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilized Finite Element Methods Applied to Transient Convection-diffusion-reaction and Population Balance Equations by : Naveed Ahmed
Download or read book Stabilized Finite Element Methods Applied to Transient Convection-diffusion-reaction and Population Balance Equations written by Naveed Ahmed and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilized Finite Element Methods for Convection-diffusion-reaction, Hemholtz and Stokes Problems by : Prashanth Nadukandi
Download or read book Stabilized Finite Element Methods for Convection-diffusion-reaction, Hemholtz and Stokes Problems written by Prashanth Nadukandi and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilized Finite Element Methods for Convection-diffusion Problems by : Amal Khalid Al-Shanfari
Download or read book Stabilized Finite Element Methods for Convection-diffusion Problems written by Amal Khalid Al-Shanfari and published by . This book was released on 2012 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of Some Higher Order Space-Time Moving Finite Element Methods by : Maximilian Sloan Metti
Download or read book Analysis of Some Higher Order Space-Time Moving Finite Element Methods written by Maximilian Sloan Metti and published by . This book was released on 2013 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a study of an application of finite element methods designed for convection-dominated, time-dependent partial differential equations. Specifically, this work analyzes finite element discretizations that employ moving meshes in order to solve linear differential equations over space-time domains. These methods can lead to significant savings in computation costs for problems having solutions that develop steep moving fronts, as moving meshes have the ability to track these fronts continuously with a high concentration of nodes; this flexibility allows for much larger time steps than standard tensor product finite elements, while maintaining high resolution of fine structures that sweep through the spatial domain. The main results are a priori and a posteriori error bounds for some moving finite element methods of high order and general time-stepping schemes. These finite element methods follow a method of lines approach for propagating the solution in time, though the error analysis places a strong emphasis on the properties inherited by the finite element aspects of the discrete problem. Another focus of this work is to determine practical and efficient schemes for adaptive meshing and mesh motion. As a result of this research, a solver has been written in C++ that is applicable to time-dependent linear convection-diffusion-reaction equations with a single dimension for the spatial.
Book Synopsis Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer by : Ben Q. Li
Download or read book Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer written by Ben Q. Li and published by Springer Science & Business Media. This book was released on 2006-06-29 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer. Certain unique features of the method have made it attractive as an alternative for other popular methods such as finite volume and finite elements in thermal fluids engineering analyses. This book is written as an introductory textbook on the discontinuous finite element method for senior undergraduate and graduate students in the area of thermal science and fluid dynamics. It also can be used as a reference book for researchers and engineers who intend to use the method for research in computational fluid dynamics and heat transfer. A good portion of this book has been used in a course for computational fluid dynamics and heat transfer for senior undergraduate and first year graduate students. It also has been used by some graduate students for self-study of the basics of discontinuous finite elements. This monograph assumes that readers have a basic understanding of thermodynamics, fluid mechanics and heat transfer and some background in numerical analysis. Knowledge of continuous finite elements is not necessary but will be helpful. The book covers the application of the method for the simulation of both macroscopic and micro/nanoscale fluid flow and heat transfer phenomena.
Book Synopsis Analysis of a New Stabilized Higher Order Finite Element Method for Advection Diffusion Equations by : Lutz Tobiska
Download or read book Analysis of a New Stabilized Higher Order Finite Element Method for Advection Diffusion Equations written by Lutz Tobiska and published by . This book was released on 2005 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adaptive Finite Element Methods for Differential Equations by : Wolfgang Bangerth
Download or read book Adaptive Finite Element Methods for Differential Equations written by Wolfgang Bangerth and published by Springer Science & Business Media. This book was released on 2003-01-23 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The key issues are a posteriori error estimation and it automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method for goal-oriented error estimation, is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. `Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. At the end of each chapter some exercises are posed in order to assist the interested reader in better understanding the concepts presented. Solutions and accompanying remarks are given in the Appendix.
Book Synopsis A Local Projection Stabilization Finite Element Method with Nonlinear Crosswind Diffusion for Convection-diffusion-reaction Equations by : Gabriel R. Barrenechea
Download or read book A Local Projection Stabilization Finite Element Method with Nonlinear Crosswind Diffusion for Convection-diffusion-reaction Equations written by Gabriel R. Barrenechea and published by . This book was released on 2012 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilized Finite Element Methods for Incompressible Flows with Emphasis on Moving Boundaries and Interfaces by : Marek Antoni Behr
Download or read book Stabilized Finite Element Methods for Incompressible Flows with Emphasis on Moving Boundaries and Interfaces written by Marek Antoni Behr and published by . This book was released on 1992 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
