Author: Martin Costabel
Publisher:
ISBN:
Category :
Languages : de
Pages : 35
Book Description
Boundary Integral Equations
Author: George Hsiao
Publisher: Springer
ISBN: 9783642057335
Category : Mathematics
Languages : en
Pages : 620
Book Description
This book is devoted to the mathematical foundation of boundary integral equations. The combination of ?nite element analysis on the boundary with these equations has led to very e?cient computational tools, the boundary element methods (see e.g., the authors [139] and Schanz and Steinbach (eds.) [267]). Although we do not deal with the boundary element discretizations in this book, the material presented here gives the mathematical foundation of these methods. In order to avoid over generalization we have con?ned ourselves to the treatment of elliptic boundary value problems. The central idea of eliminating the ?eld equations in the domain and - ducing boundary value problems to equivalent equations only on the bou- ary requires the knowledge of corresponding fundamental solutions, and this idea has a long history dating back to the work of Green [107] and Gauss [95, 96]. Today the resulting boundary integral equations still serve as a major tool for the analysis and construction of solutions to boundary value problems.
Publisher: Springer
ISBN: 9783642057335
Category : Mathematics
Languages : en
Pages : 620
Book Description
This book is devoted to the mathematical foundation of boundary integral equations. The combination of ?nite element analysis on the boundary with these equations has led to very e?cient computational tools, the boundary element methods (see e.g., the authors [139] and Schanz and Steinbach (eds.) [267]). Although we do not deal with the boundary element discretizations in this book, the material presented here gives the mathematical foundation of these methods. In order to avoid over generalization we have con?ned ourselves to the treatment of elliptic boundary value problems. The central idea of eliminating the ?eld equations in the domain and - ducing boundary value problems to equivalent equations only on the bou- ary requires the knowledge of corresponding fundamental solutions, and this idea has a long history dating back to the work of Green [107] and Gauss [95, 96]. Today the resulting boundary integral equations still serve as a major tool for the analysis and construction of solutions to boundary value problems.
Strongly Elliptic Systems and Boundary Integral Equations
Author: William Charles Hector McLean
Publisher: Cambridge University Press
ISBN: 9780521663755
Category : Mathematics
Languages : en
Pages : 376
Book Description
This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.
Publisher: Cambridge University Press
ISBN: 9780521663755
Category : Mathematics
Languages : en
Pages : 376
Book Description
This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.
Strongly elliptic boundary integral equations for electromagnetic transmission problems
Author: Martin Costabel
Publisher:
ISBN:
Category :
Languages : de
Pages : 35
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 35
Book Description
Strongly Elliptic Boundary Integral Equations for Electromagnetic Transmission Problems
Author: Martin Costabel
Publisher:
ISBN:
Category :
Languages : de
Pages : 30
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 30
Book Description
Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
Author: Mikhail Borsuk
Publisher: Springer Science & Business Media
ISBN: 3034604777
Category : Mathematics
Languages : en
Pages : 223
Book Description
This book investigates the behaviour of weak solutions to the elliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges, considering this problem both for linear and quasi-linear equations.
Publisher: Springer Science & Business Media
ISBN: 3034604777
Category : Mathematics
Languages : en
Pages : 223
Book Description
This book investigates the behaviour of weak solutions to the elliptic transmisssion problem in a neighborhood of boundary singularities: angular and conic points or edges, considering this problem both for linear and quasi-linear equations.
Boundary Value Problems for Second Order Elliptic Equations
Author: Andreĭ Vasilʹevich Bit︠s︡adze
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 218
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 218
Book Description
The Boundary-Domain Integral Method for Elliptic Systems
Author: Andreas Pomp
Publisher: Springer
ISBN: 3540696970
Category : Mathematics
Languages : en
Pages : 175
Book Description
This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.
Publisher: Springer
ISBN: 3540696970
Category : Mathematics
Languages : en
Pages : 175
Book Description
This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.
Boundary Value Problems for Elliptic Equations and Systems
Author: Guo Chun Wen
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 430
Book Description
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 430
Book Description
Numerical Approximation Methods for Elliptic Boundary Value Problems
Author: Olaf Steinbach
Publisher: Springer Science & Business Media
ISBN: 0387688056
Category : Mathematics
Languages : en
Pages : 392
Book Description
This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.
Publisher: Springer Science & Business Media
ISBN: 0387688056
Category : Mathematics
Languages : en
Pages : 392
Book Description
This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error analysis as well as efficient methods to solve the resulting linear systems. Applications are the potential equation, the system of linear elastostatics and the Stokes system. While there are textbooks on the finite element method, this is one of the first books on Theory of Boundary Element Methods. It is suitable for self study and exercises are included.
Boundary Value Problems for Elliptic Systems
Author: J. T. Wloka
Publisher: Cambridge University Press
ISBN: 0521430119
Category : Mathematics
Languages : en
Pages : 659
Book Description
The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.
Publisher: Cambridge University Press
ISBN: 0521430119
Category : Mathematics
Languages : en
Pages : 659
Book Description
The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. Because many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises. This book is ideal for use in graduate level courses on partial differential equations, elliptic systems, pseudo-differential operators, and matrix analysis.