Elliptic Problems In Nonsmooth Domains
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Elliptic Problems In Nonsmooth Domains
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Author : Pierre Grisvard
language : en
Publisher: SIAM
Release Date : 2011-10-20
Elliptic Problems In Nonsmooth Domains written by Pierre Grisvard and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-20 with Mathematics categories.
Originally published: Boston: Pitman Advanced Pub. Program, 1985.
Elliptic Problems In Nonsmooth Domains
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Author : P. Grisvard
language : en
Publisher:
Release Date : 2011
Elliptic Problems In Nonsmooth Domains written by P. Grisvard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Graded Finite Element Methods For Elliptic Problems In Nonsmooth Domains
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Author : Hengguang Li
language : en
Publisher: Springer Nature
Release Date : 2022-09-01
Graded Finite Element Methods For Elliptic Problems In Nonsmooth Domains written by Hengguang Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Mathematics categories.
This book develops a class of graded finite element methods to solve singular elliptic boundary value problems in two- and three-dimensional domains. It provides an approachable and self-contained presentation of the topic, including both the mathematical theory and numerical tools necessary to address the major challenges imposed by the singular solution. Moreover, by focusing upon second-order equations with constant coefficients, it manages to derive explicit results that are accessible to the broader computation community. Although written with mathematics graduate students and researchers in mind, this book is also relevant to applied and computational mathematicians, scientists, and engineers in numerical methods who may encounter singular problems.
Hp Finite Element Methods For Singular Perturbations
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Author : Jens M. Melenk
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-10-10
Hp Finite Element Methods For Singular Perturbations written by Jens M. Melenk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-10 with Mathematics categories.
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.
Regularity Of The Solutions For Elliptic Problems On Nonsmooth Domains In R3 Part 2 Regularity In Neighborhoods Of Edges
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Author :
language : en
Publisher:
Release Date : 1995
Regularity Of The Solutions For Elliptic Problems On Nonsmooth Domains In R3 Part 2 Regularity In Neighborhoods Of Edges written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
This paper is the second in a series of three devoted to the analysis of regularity of solutions of elliptic problems on nonsmooth domains in R3. The present paper concentrates on the regularity of solution of Poisson equation in neighborhoods of edges of a polyhedral domain in the frame of the weighted Sobolev spaces and countably normed spaces. These results can be generalized to elliptic problems arising form mechanics and engineering; for instance, the elasticity problem on polyhedral domains.
Index For Historic Greene County Tennessee And Its People 1783 1992
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Author :
language : en
Publisher:
Release Date : 1994*
Index For Historic Greene County Tennessee And Its People 1783 1992 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994* with Names, Personal categories.
Multifield Problems In Solid And Fluid Mechanics
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Author : Rainer Helmig
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-28
Multifield Problems In Solid And Fluid Mechanics written by Rainer Helmig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-28 with Technology & Engineering categories.
Understanding the interaction between various processes is a pre-requisite for solving problems in natural and engineering sciences. Many phenomena can not be described by concentrating on them in isolation - therefore multifield models and concepts that include various kinds of field problems and processes are needed. This book summarizes the main scientific results of the Collaborative Research Center on Multifield Problems in Continuum Mechanics (Sonderforschungsbereich Mehrfeldprobleme in der Kontinuumsmechanik, SFB 404) funded by the German Research Foundation (DFG) from 1995-2006. The book is divided into three main sections: A: Volume-Coupled Problems, devoted to fields which are coupled inside the processing domain or volume, B: Boundary-Coupled Problems, here physical fields and processes are coupled via domain boundaries, C: Fundamental Methods, search into the mathematical concepts and backgrounds of multifield and multiscale modeling.
Elliptic Boundary Value Problems On Non Smooth Domains
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Author : Jun Geng
language : en
Publisher:
Release Date : 2011
Elliptic Boundary Value Problems On Non Smooth Domains written by Jun Geng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Spectral And High Order Methods For Partial Differential Equations Icosahom 2012
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Author : Mejdi Azaïez
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-19
Spectral And High Order Methods For Partial Differential Equations Icosahom 2012 written by Mejdi Azaïez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Mathematics categories.
The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2012), and provides an overview of the depth and breath of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.
Multifield Problems
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Author : A.-M. Sändig
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Multifield Problems written by A.-M. Sändig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
The simulation of complex engineering problems often involves an interaction or coupling of individual phenomena, which are traditionally related by themselves to separate fields of applied mechanics. Typical examples of these so-called multifield problems are the thermo-mechanical analysis of solids with coupling between mechanical stress analysis and thermal heat transfer processes, the simulation of coupled deformation and fluid transport mechanisms in porous media, the prediction of mass transprot and phase transition phenomena of mixtures, the analysis of sedimentation processes based on an interaction of particle dynamics and viscous flow, the simulation of multibody systems and fluid-structure interactions based on solid-to-solid and solid-to-fluid contact mechanisms.