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 : 1985-01-01

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 1985-01-01 with Mathematics categories.

This classic text focuses on elliptic boundary value problems in domains with nonsmooth boundaries and on problems with mixed boundary conditions. Its contents are essential for an understanding of the behavior of numerical methods for partial differential equations (PDEs) on two-dimensional domains with corners. Elliptic problems in nonsmooth domains: provides a careful and self-contained development of Sobolev spaces on nonsmooth domains, develops a comprehensive theory for second-order elliptic boundary value problems, and addresses fourth-order boundary value problems and numerical treatment of singularities.

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.

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.

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.

H P Spectral Element Methods For Elliptic Problems On Non Smooth Domains Using Parallel Computers

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Author : Satyendra Tomar
language : en
Publisher:
Release Date : 2002

H P Spectral Element Methods For Elliptic Problems On Non Smooth Domains Using Parallel Computers written by Satyendra Tomar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.

Differential And Integral Equations

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Author :
language : en
Publisher:
Release Date : 2007

Differential And Integral Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Differential equations categories.

Sobolev Spaces Their Generalizations And Elliptic Problems In Smooth And Lipschitz Domains

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Author : Mikhail S. Agranovich
language : en
Publisher: Springer
Release Date : 2015-05-06

Sobolev Spaces Their Generalizations And Elliptic Problems In Smooth And Lipschitz Domains written by Mikhail S. Agranovich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-06 with Mathematics categories.

This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in non-smooth (Lipschitz) domains for strongly elliptic systems. The author, who is a prominent expert in the theory of linear partial differential equations, spectral theory and pseudodifferential operators, has included his own very recent findings in the present book. The book is well suited as a modern graduate textbook, utilizing a thorough and clear format that strikes a good balance between the choice of material and the style of exposition. It can be used both as an introduction to recent advances in elliptic equations and boundary value problems and as a valuable survey and reference work. It also includes a good deal of new and extremely useful material not available in standard textbooks to date. Graduate and post-graduate students, as well as specialists working in the fields of partial differential equations, functional analysis, operator theory and mathematical physics will find this book particularly valuable.

Computational Mechanics 95

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Author : Satya N. Atluri
language : en
Publisher: Springer Science & Business Media
Release Date : 1995

Computational Mechanics 95 written by Satya N. Atluri 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 1995 with Mechanics, Analytic categories.