Download or read book An Analysis of a Finite Element Method for Convection Diffusion Problems Part I Quasi Optimality written by W. G. Szymczak and published by . This book was released on 1983 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed analysis is performed for a finite element method applied to the general one-dimensional convection diffusion problem. Piecewise polynomials are used for the trial space. The test space is formed by locally projecting L-spline basis functions onto upwinded polynomials. The error is measured in the LP mesh dependent norm. The method is proven to be quasi-optimal (yielding nearly the best approximation from the trial space), provided that the input data is piecewise smooth. This assumption is usually observed in practice. These results are used to establish a posteriori error estimates and an adaptive mesh refinement strategy in Part II of this series (35). (Author).

Download or read book An Analysis of a Finite Element Method for Convection Diffusion Problems Part II A Posteriori Error Estimates and Adaptivity written by W. G. Szymczak and published by . This book was released on 1983 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: A posteriori error estimates are derived for the finite element method presented in Part I. These estimates are proven to have the property that the effectivity index theta = (error estimate/true error) converges to one as the maximum mesh size goes to zero. An adaptive mesh refinement strategy is based on equilibriating local error indicators whose sum comprises the global error estimate. Numerical results show that theta is nearly one even on coarse meshes, and that optimal meshes are created by the adaptive procedure. The successful solution of a non linear problem-modelling flow through an expanding duct, makes evident the robustness of the method. (Author).

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 994 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Error Analysis for the Finite Element Method Applied to Convection Diffusion Problems written by I. Babuska and published by . This book was released on 1981 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper analyzes the finite element method applied to a convection diffusion model problem. Linear elements are used for the trial space. The error is measured in a norm closely related to the L sup P norm. When the test space is composed of linear elements with parabolic upwinding, the method is shown to be optimal when the input data is piecewise smooth -- a condition which is usually observed in practice. Without these smoothness assumptions, the method is shown to be non-optimal, even if the class of test spaces is extended to include any elements which have a shape independent of the mesh size. (Author).

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:

Download or read book The Mathematical Basis of Finite Element Methods with Applications to Partial Differential Equations written by Institute of Mathematics and Its Applications and published by Oxford University Press, USA. This book was released on 1984 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining theoretical insights with practical applications, this stimulating collection provides a state-of-the-art survey of the finite element method, one of the most powerful tools available for the solution of physical problems. Written by leading experts, this volume consider such topics as parabolic Galerkin methods, nonconforming elements, the treatment of singularities in elliptic boundary value problems, and conforming methods for self-adjount elliptic problems. This will be an invaluable basic reference for computational mathematicians and engineers who use finite element methods in academic or industrial research.

Download or read book A Finite Element Method for Convection diffusion Problems written by Chalmers University of Technology. Dept. of Computer Sciences and published by . This book was released on 1982 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Convection Diffusion Problems written by Martin Stynes and published by American Mathematical Soc.. This book was released on 2018-11-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this class of problems. At first they examine finite-difference methods for two-point boundary value problems, as their analysis requires little theoretical background. Upwinding, artificial diffusion, uniformly convergent methods, and Shishkin meshes are some of the topics presented. Throughout, the authors are concerned with the accuracy of solutions when the diffusion coefficient is close to zero. Later in the book they concentrate on finite element methods for problems posed in one and two dimensions. This lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically is meant for beginning graduate students, and it includes a large number of exercises. An up-to-date bibliography provides the reader with further reading.

Download or read book A Finite Element Formulation for the Numerical Solution of the Convection diffusion Equation written by Ramon Codina and published by . This book was released on 1993 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Study of Finite Element Methods for Convection diffusion Problem written by Vladimir V. Akimov and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Adaptive Finite Element Method for Convection Diffusion Problems written by William Gerard Szymczak and published by . This book was released on 1982 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Element Analysis of a Convection diffusion Equation written by José Avila and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

Download or read book Finite element methods for convection diffusion problems written by Owe Axelsson and published by . This book was released on 1987 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Element Modeling for Convection diffusion Problems written by George A. Keramidas and published by . This book was released on 1980 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book State of the art Surveys on Computational Mechanics written by John Tinsley Oden and published by . This book was released on 1989 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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