Adaptive Moving Mesh Methods, Weizhang Huang; Robert D. Russell
Автор: Herbert Edelsbrunner Название: Geometry and topology for mesh generation ISBN: 052168207X ISBN-13(EAN): 9780521682077 Издательство: Cambridge Academ Рейтинг: Цена: 7128.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mesh generation combines different approaches to problem solving from mathematics, computer science, and engineering. This book emphasizes topics that are elementary, attractive, useful, interesting, and lend themselves to teaching, making it an ideal graduate text for courses on mesh generation.
Описание: Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations.
Описание: The computational solution of partial differential systems has become so involved that it is important to automate decisions that have been left to the individual. This book covers such decisions: mesh generation with links to the software generating the domain geometry; and solution accuracy with mesh selection linked to solution generation.
Описание: One dimensional problems.- The Analytical Behaviour of Solutions.- Finite Difference Schemes for Convection-Diffusion Problems.- Finite Element and Finite Volume Methods.- Discretisations of Reaction-Convection-Diffusion Problems.- Layer-Adapted Meshes.- Two dimensional problems.- The Analytical Behaviour of Solutions.- Reaction-Diffusion Problems.- Convection-Diffusion Problems.
Shapes, either from the natural world or man-made, are more and more digitized for visualization or measurement purposes, among others. This process results in general in 3D surface meshes, composed of collections of planar polygons. Such meshes nowadays are the most common discrete representation of the surface of a virtual shape. These 3D surface meshes are automatically, or sometimes interactively, examined, in order their overall structure or some details to be understood or evaluated. This can be done by extracting relevant geometric or topological features. Such shape characteristics can simplify the way the object is looked at, can help recognition, and can describe and categorize it according to specific criteria.
This book deals with feature definition and computation on a 3D surface mesh, and their use for shape analysis. Recent methods are described to extract feature lines having a meaning related not only to geometry but to topology as well. Differential estimators like discrete principal curvatures are detailed as they play a critical role for the computation of salient structures. Several applications are developed, and each of them needs specific adjustments to generic approaches. These applications are related to geology, planetary science, paleo-anthropology, astrophysics, medicine, and forestry.
Автор: Tobias Schwedes; David A. Ham; Simon W. Funke; Mat Название: Mesh Dependence in PDE-Constrained Optimisation ISBN: 3319594826 ISBN-13(EAN): 9783319594828 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book provides an introduction to PDE-constrained optimisation using finite elements and the adjoint approach. The practical impact of the mathematical insights presented here are demonstrated using the realistic scenario of the optimal placement of marine power turbines, thereby illustrating the real-world relevance of best-practice Hilbert space aware approaches to PDE-constrained optimisation problems.
Many optimisation problems that arise in a real-world context are constrained by partial differential equations (PDEs). That is, the system whose configuration is to be optimised follows physical laws given by PDEs. This book describes general Hilbert space formulations of optimisation algorithms, thereby facilitating optimisations whose controls are functions of space. It demonstrates the importance of methods that respect the Hilbert space structure of the problem by analysing the mathematical drawbacks of failing to do so. The approaches considered are illustrated using the optimisation problem arising in tidal array layouts mentioned above.
This book will be useful to readers from engineering, computer science, mathematics and physics backgrounds interested in PDE-constrained optimisation and their real-world applications.
Автор: Michel Bercovier; Tanya Matskewich Название: Smooth B?zier Surfaces over Unstructured Quadrilateral Meshes ISBN: 3319638408 ISBN-13(EAN): 9783319638409 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM).
Описание: 1 INTRODUCTION.- 1.1 Geological and computational background.- 1.2 Outline.- 2 DISCONTINUOUS GALERKIN METHODS.- 2.1 Preliminaries.- 2.2 Construction of IPG Methods.- 2.3 Computation Tools for Integral Terms.- 2.4 Effect of Penalty Parameter.- 2.5 Problems with Convection.- 3 ELLIPTIC PROBLEMS WITH ADAPTIVITY.- 3.1 Model Elliptic Problem.- 3.2 Adaptivity.- 3.3 Solution of Linearized Systems.- 3.4 Comparison with Galerkin Least Squares FEM (GLSFEM).- 3.5 Numerical Examples.- 4 PARABOLIC PROBLEMS WITH TIME-SPACE ADAPTIVITY.- 4.1 Preliminaries and Model Equation.- 4.2 Semi-Discrete and Fully Discrete Formulations.- 4.3 Time-Space Adaptivity for Non-Stationary Problems.- 4.4 Solution of Fully Discrete System.- 4.5 Numerical Examples.-REFERENCES.
Автор: W. Hackbusch; G. Wittum Название: Adaptive Methods — Algorithms, Theory and Applications ISBN: 3528076461 ISBN-13(EAN): 9783528076467 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains 18 papers presented at the Kiel Seminar in 1993. The Kiel Seminars are well-known, and cover special areas in numerical methods for partial differential equations, numerical linear algebra, numerical methods for integral equations and related areas.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
