Hp Finite Element Methods For Singular Perturbations
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Author | : Jens M. Melenk |
Publisher | : Springer |
Total Pages | : 331 |
Release | : 2004-10-19 |
Genre | : Mathematics |
ISBN | : 354045781X |
Download hp-Finite Element Methods for Singular Perturbations Book in PDF, Epub and Kindle
Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.
Author | : C. Schwab |
Publisher | : Clarendon Press |
Total Pages | : 386 |
Release | : 1998-10-15 |
Genre | : Computers |
ISBN | : 9780198503903 |
Download p- and hp- Finite Element Methods Book in PDF, Epub and Kindle
The finite element method (FEM) is a numerical procedure for solving differential equations. Ever-increasing computing power means that engineers and applied mathematicians are seeking more complicated and sophisticated numerical methods to obtain progressively more accurate answers to problems in solid and fluid mechanics. The p- and hp- finite element methods are just such methods, and are therefore of great current interest. This book is the first to cover comprehensively the mathematical underpinnings of hp-FEM in one and two dimensions and pays particular attention to its applications in engineering.
Author | : R. B. Kellogg |
Publisher | : |
Total Pages | : |
Release | : 1981 |
Genre | : |
ISBN | : |
Download The Finite Element Method for a Singular Perturbation Problem Using Enriched Subspaces Book in PDF, Epub and Kindle
Author | : Christos Xenophontos |
Publisher | : |
Total Pages | : 278 |
Release | : 1996 |
Genre | : Boundary value problems |
ISBN | : |
Download The Hp Version of the Finite Element Method for Singularly Perturbed Problems Book in PDF, Epub and Kindle
Author | : Zhangxin Chen |
Publisher | : Springer Science & Business Media |
Total Pages | : 415 |
Release | : 2005-06-23 |
Genre | : Science |
ISBN | : 3540240780 |
Download Finite Element Methods and Their Applications Book in PDF, Epub and Kindle
Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.
Author | : Donggao Deng |
Publisher | : Springer Science & Business Media |
Total Pages | : 167 |
Release | : 2008-11-19 |
Genre | : Mathematics |
ISBN | : 354088744X |
Download Harmonic Analysis on Spaces of Homogeneous Type Book in PDF, Epub and Kindle
This book could have been entitled “Analysis and Geometry.” The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not exist on an arbitrary metric set. This endeavor is not a revolution. It is a continuation of a line of research whichwasinitiated,acenturyago,withtwofundamentalpapersthatIwould like to discuss brie?y. The ?rst paper is the doctoral dissertation of Alfred Haar, which was submitted at to University of Gottingen ̈ in July 1907. At that time it was known that the Fourier series expansion of a continuous function may diverge at a given point. Haar wanted to know if this phenomenon happens for every 2 orthonormal basis of L [0,1]. He answered this question by constructing an orthonormal basis (today known as the Haar basis) with the property that the expansion (in this basis) of any continuous function uniformly converges to that function.
Author | : Gitta Kutyniok |
Publisher | : Springer Science & Business Media |
Total Pages | : 149 |
Release | : 2007-06-07 |
Genre | : Mathematics |
ISBN | : 3540729496 |
Download Affine Density in Wavelet Analysis Book in PDF, Epub and Kindle
This volume provides a thorough and comprehensive treatment of irregular wavelet frames. It introduces and employs a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Coverage includes non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames.
Author | : Catherine Donati-Martin |
Publisher | : Springer Science & Business Media |
Total Pages | : 457 |
Release | : 2009-06-29 |
Genre | : Mathematics |
ISBN | : 3642017622 |
Download Séminaire de Probabilités XLII Book in PDF, Epub and Kindle
The tradition of specialized courses in the Séminaires de Probabilités is continued with A. Lejay's Another introduction to rough paths. Other topics from this 42nd volume range from the interface between analysis and probability to special processes, Lévy processes and Lévy systems, branching, penalization, representation of Gaussian processes, filtrations and quantum probability.
Author | : Min Qian |
Publisher | : Springer |
Total Pages | : 292 |
Release | : 2009-07-07 |
Genre | : Mathematics |
ISBN | : 3642019544 |
Download Smooth Ergodic Theory for Endomorphisms Book in PDF, Epub and Kindle
Ideal for researchers and graduate students, this volume sets out a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms. Its focus is on the relations between entropy, Lyapunov exponents and dimensions.
Author | : |
Publisher | : Springer Science & Business Media |
Total Pages | : 212 |
Release | : 2005 |
Genre | : |
ISBN | : 9783540242598 |
Download Abstract Harmonic Analysis of Continuous Wavelet Transforms Book in PDF, Epub and Kindle