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.

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.

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.

Elliptic Boundary Value Problems In Domains With Point Singularities

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Author : Vladimir Kozlov
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Elliptic Boundary Value Problems In Domains With Point Singularities written by Vladimir Kozlov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

For graduate students and research mathematicians interested in partial differential equations and who have a basic knowledge of functional analysis. Restricted to boundary value problems formed by differential operators, avoiding the use of pseudo- differential operators. Concentrates on fundamental results such as estimates for solutions in different function spaces, the Fredholm property of the problem's operator, regularity assertions, and asymptotic formulas for the solutions of near singular points. Considers the solutions in Sobolev spaces of both positive and negative orders. Annotation copyrighted by Book News, Inc., Portland, OR

The Finite Element Method For Elliptic Problems

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Author : P.G. Ciarlet
language : en
Publisher: Elsevier
Release Date : 1978-01-01

The Finite Element Method For Elliptic Problems written by P.G. Ciarlet and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.

The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author's experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on "Additional Bibliography and Comments should provide many suggestions for conducting seminars.

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.

Discontinuous Galerkin Methods For Solving Elliptic And Parabolic Equations

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Author : Beatrice Riviere
language : en
Publisher: SIAM
Release Date : 2008-12-18

Discontinuous Galerkin Methods For Solving Elliptic And Parabolic Equations written by Beatrice Riviere and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-18 with Mathematics categories.

Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.

Djairo G De Figueiredo Selected Papers

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Author : Djairo G. de Figueiredo
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-07

Djairo G De Figueiredo Selected Papers written by Djairo G. de Figueiredo 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 2014-01-07 with Mathematics categories.

This volume presents a collection of selected papers by the prominent Brazilian mathematician Djairo G. de Figueiredo, who has made significant contributions in the area of Differential Equations and Analysis. His work has been highly influential as a challenge and inspiration to young mathematicians as well as in development of the general area of analysis in his home country of Brazil. In addition to a large body of research covering a variety of areas including geometry of Banach spaces, monotone operators, nonlinear elliptic problems and variational methods applied to differential equations, de Figueiredo is known for his many monographs and books. Among others, this book offers a sample of the work of Djairo, as he is commonly addressed, advancing the study of superlinear elliptic problems (both scalar and system cases), including questions on critical Sobolev exponents and maximum principles for non-cooperative elliptic systems in Hamiltonian form.