Combined Methods For Elliptic Equations With Singularities Interfaces And Infinities
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Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities
Author: Zi Cai Li
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-12-01
In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.
Trefftz and Collocation Methods
This title was reviewed in the January 2009 issue of Mathematical Reviews.
Numerical Modeling and Computer Simulation
Author: Dragan Cvetković
language: en
Publisher: BoD – Books on Demand
Release Date: 2020-05-06
Information technologies have changed people’s lives to a great extent, and now it is almost impossible to imagine any activity that does not depend on computers in some way. Since the invention of first computer systems, people have been trying to avail computers in order to solve complex problems in various areas. Traditional methods of calculation have been replaced by computer programs that have the ability to predict the behavior of structures under different loading conditions. There are eight chapters in this book that deal with: optimal control of thermal pollution emitted by power plants, finite difference solution of conjugate heat transfer in double pipe with trapezoidal fins, photovoltaic system integrated into the buildings, possibilities of modeling Petri nets and their extensions, etc.