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Numerical Methods For Elliptic Problems With Singularities


Numerical Methods For Elliptic Problems With Singularities
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Numerical Methods For Elliptic Problems With Singularities


Numerical Methods For Elliptic Problems With Singularities
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Author : Zi-Cai Li
language : en
Publisher: World Scientific
Release Date : 1990

Numerical Methods For Elliptic Problems With Singularities written by Zi-Cai Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities. Part I gives the boundary methods which use analytic and singular expansions, and Part II the nonconforming methods combining finite element methods (FEM) (or finite difference methods (FDM)) and singular (or analytic) expansions. The advantage of these methods over the standard FEM and FDM is that they can cope with complicated geometrical boundaries and boundary conditions as well as singularity. Therefore, accurate numerical solutions near singularities can be obtained. The description of methods, error bounds, stability analysis and numerical experiments are provided for the typical problems with angular, interface and infinity singularities. However, the approximate techniques and coupling strategy given can be applied to solving other PDE and engineering problems with singularities as well. This book is derived from the author's Ph. D. thesis which won the 1987 best doctoral dissertation award given by the Canadian Applied Mathematics Society.



Numerical Methods For Elliptic Problems With Singularities Boundary Mtds And Nonconforming Combinatn


Numerical Methods For Elliptic Problems With Singularities Boundary Mtds And Nonconforming Combinatn
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Author : Zi-cai Li
language : en
Publisher: World Scientific
Release Date : 1990-12-27

Numerical Methods For Elliptic Problems With Singularities Boundary Mtds And Nonconforming Combinatn written by Zi-cai Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-12-27 with Mathematics categories.


This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities. Part I gives the boundary methods which use analytic and singular expansions, and Part II the nonconforming methods combining finite element methods (FEM) (or finite difference methods (FDM)) and singular (or analytic) expansions. The advantage of these methods over the standard FEM and FDM is that they can cope with complicated geometrical boundaries and boundary conditions as well as singularity. Therefore, accurate numerical solutions near singularities can be obtained. The description of methods, error bounds, stability analysis and numerical experiments are provided for the typical problems with angular, interface and infinity singularities. However, the approximate techniques and coupling strategy given can be applied to solving other PDE and engineering problems with singularities as well. This book is derived from the author's Ph. D. thesis which won the 1987 best doctoral dissertation award given by the Canadian Applied Mathematics Society.



Numerical Methods For Elliptic Boundary Value Problems With Singularities


Numerical Methods For Elliptic Boundary Value Problems With Singularities
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Author : Zi-Cai Li
language : en
Publisher:
Release Date : 1986

Numerical Methods For Elliptic Boundary Value Problems With Singularities written by Zi-Cai Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.




Applied Mathematics Notes


Applied Mathematics Notes
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Author :
language : en
Publisher:
Release Date : 1986

Applied Mathematics Notes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.




Soviet Journal Of Numerical Analysis And Mathematical Modelling


Soviet Journal Of Numerical Analysis And Mathematical Modelling
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Author :
language : en
Publisher:
Release Date : 1990

Soviet Journal Of Numerical Analysis And Mathematical Modelling written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematical models categories.




Graded Finite Element Methods For Elliptic Problems In Nonsmooth Domains


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.



The Mathematics Of Finite Elements And Applications Iv


The Mathematics Of Finite Elements And Applications Iv
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Author : John Robert Whiteman
language : en
Publisher:
Release Date : 1982

The Mathematics Of Finite Elements And Applications Iv written by John Robert Whiteman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.




A Survey Of Numerical Methods For Partial Differential Equations


A Survey Of Numerical Methods For Partial Differential Equations
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Author : I. Gladwell
language : en
Publisher: Oxford University Press, USA
Release Date : 1979

A Survey Of Numerical Methods For Partial Differential Equations written by I. Gladwell and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Language Arts & Disciplines categories.




Russian Journal Of Numerical Analysis And Mathematical Modelling


Russian Journal Of Numerical Analysis And Mathematical Modelling
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Author :
language : en
Publisher:
Release Date : 1990

Russian Journal Of Numerical Analysis And Mathematical Modelling written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematical models categories.




Numerical Methods For Partial Differential Equations


Numerical Methods For Partial Differential Equations
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Author : S. I. Hariharan
language : en
Publisher: Longman Scientific and Technical
Release Date : 1986

Numerical Methods For Partial Differential Equations written by S. I. Hariharan and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.