Brenner, Susanne C.
Overview
Works:  22 works in 94 publications in 1 language and 1,854 library holdings 

Roles:  Author, Editor, Other 
Publication Timeline
.
Most widely held works by
Susanne C Brenner
The mathematical theory of finite element methods by
Susanne C Brenner(
Book
)
56 editions published between 1994 and 2011 in English and Undetermined and held by 1,492 WorldCat member libraries worldwide
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. It formalizes basic tools that are commonly used by researchers in the field but not previously published
56 editions published between 1994 and 2011 in English and Undetermined and held by 1,492 WorldCat member libraries worldwide
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. It formalizes basic tools that are commonly used by researchers in the field but not previously published
Topics in numerical partial differential equations and scientific computing by
Susanne C Brenner(
)
9 editions published in 2016 in English and held by 253 WorldCat member libraries worldwide
Numerical partial differential equations (PDEs) are an important part of numerical simulation, the third component of the modern methodology for science and engineering, besides the traditional theory and experiment. This volume contains papers that originated with the collaborative research of the teams that participated in the IMA Workshop for Women in Applied Mathematics: Numerical Partial Differential Equations and Scientific Computing in August 2014
9 editions published in 2016 in English and held by 253 WorldCat member libraries worldwide
Numerical partial differential equations (PDEs) are an important part of numerical simulation, the third component of the modern methodology for science and engineering, besides the traditional theory and experiment. This volume contains papers that originated with the collaborative research of the teams that participated in the IMA Workshop for Women in Applied Mathematics: Numerical Partial Differential Equations and Scientific Computing in August 2014
The mathematical theory of finite element methods(
)
4 editions published between 1994 and 2008 in English and held by 26 WorldCat member libraries worldwide
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara'eFriedrichs inequalities for piecewise W 1_p functions. New exercises have also been added throughout. The initial chapter provides an introducton to the entire subject, developed in the onedimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequent chapters provide an introduction to:  multigrid methods and domain decomposition methods  mixed methods with applications to elasticity and fluid mechanics  iterated penalty and augmented Lagrangian methods  variational "crimes" including nonconforming and isoparametric methods, numerical integration and interior penalty methods  error estimates in the maximum norm with applications to nonlinear problems  error estimators, adaptive meshes and convergence analysis of an adaptive algorithm  Banachspace operatorinterpolation techniques The book has proved useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theory. It can also be used for courses that emphasize physical applications or algorithmic efficiency. Reviews of earlier editions: "This book represents an important contribution to the mathematical literature of finite elements. It is both a welldone text and a good reference." (Mathematical Reviews, 1995) "This is an excellent, though demanding, introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in the area." (Zentralblatt, 2002)
4 editions published between 1994 and 2008 in English and held by 26 WorldCat member libraries worldwide
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara'eFriedrichs inequalities for piecewise W 1_p functions. New exercises have also been added throughout. The initial chapter provides an introducton to the entire subject, developed in the onedimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequent chapters provide an introduction to:  multigrid methods and domain decomposition methods  mixed methods with applications to elasticity and fluid mechanics  iterated penalty and augmented Lagrangian methods  variational "crimes" including nonconforming and isoparametric methods, numerical integration and interior penalty methods  error estimates in the maximum norm with applications to nonlinear problems  error estimators, adaptive meshes and convergence analysis of an adaptive algorithm  Banachspace operatorinterpolation techniques The book has proved useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theory. It can also be used for courses that emphasize physical applications or algorithmic efficiency. Reviews of earlier editions: "This book represents an important contribution to the mathematical literature of finite elements. It is both a welldone text and a good reference." (Mathematical Reviews, 1995) "This is an excellent, though demanding, introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in the area." (Zentralblatt, 2002)
The Mathematical Theory of Finite Element Methods by
Susanne C Brenner(
)
3 editions published in 2008 in English and held by 24 WorldCat member libraries worldwide
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara\'eFriedrichs inequalities for piecewise W^1_p functions. New exercises have also been added throughout. The initial chapter provides an introducton to the entire subject, developed in the onedimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequent chapters provide an introduction to:  multigrid methods and domain decomposition methods  mixed methods with applications to elasticity and fluid mechanics  iterated penalty and augmented Lagrangian methods  variational "crimes" including nonconforming and isoparametric methods, numerical integration and interior penalty methods  error estimates in the maximum norm with applications to nonlinear problems  error estimators, adaptive meshes and convergence analysis of an adaptive algorithm  Banachspace operatorinterpolation techniques The book has proved useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theory. It can also be used for courses that emphasize physical applications or algorithmic efficiency. Reviews of earlier editions: "This book represents an important contribution to the mathematical literature of finite elements. It is both a welldone text and a good reference." (Mathematical Reviews, 1995) "This is an excellent, though demanding, introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in the area." (Zentralblatt, 2002)
3 editions published in 2008 in English and held by 24 WorldCat member libraries worldwide
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara\'eFriedrichs inequalities for piecewise W^1_p functions. New exercises have also been added throughout. The initial chapter provides an introducton to the entire subject, developed in the onedimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequent chapters provide an introduction to:  multigrid methods and domain decomposition methods  mixed methods with applications to elasticity and fluid mechanics  iterated penalty and augmented Lagrangian methods  variational "crimes" including nonconforming and isoparametric methods, numerical integration and interior penalty methods  error estimates in the maximum norm with applications to nonlinear problems  error estimators, adaptive meshes and convergence analysis of an adaptive algorithm  Banachspace operatorinterpolation techniques The book has proved useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theory. It can also be used for courses that emphasize physical applications or algorithmic efficiency. Reviews of earlier editions: "This book represents an important contribution to the mathematical literature of finite elements. It is both a welldone text and a good reference." (Mathematical Reviews, 1995) "This is an excellent, though demanding, introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in the area." (Zentralblatt, 2002)
On the quasioptimal convergence of adaptive nonconforming finite element methods in three examples by
Hella Rabus(
)
1 edition published in 2014 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2014 in English and held by 17 WorldCat member libraries worldwide
Domain Decomposition Methods in Science and Engineering XXIV(
)
1 edition published in 2018 in English and held by 13 WorldCat member libraries worldwide
1 edition published in 2018 in English and held by 13 WorldCat member libraries worldwide
Human erythrocyte transglutaminase, purification and application as a protein reagent by
Stephen Craig Brenner(
Book
)
4 editions published between 1976 and 1981 in English and held by 5 WorldCat member libraries worldwide
4 editions published between 1976 and 1981 in English and held by 5 WorldCat member libraries worldwide
Domain Decomposition Methods in Science and Engineering XXIV by
Petter E Bjørstad(
)
1 edition published in 2019 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2019 in English and held by 4 WorldCat member libraries worldwide
Miniworkshop: analytical and numerical treatment of singularities in PDE : November 3rd  November 9th, 2002(
Book
)
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
The Mathematical methods of finite element methods by
Susanne C Brenner(
Book
)
2 editions published between 1994 and 2002 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1994 and 2002 in English and held by 2 WorldCat member libraries worldwide
The Mathematical theory of finite elements methods by
Susanne C Brenner(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
The mathematical theory of finite element models by
Susanne C Brenner(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
The mathematical theory of finite element methods by
Susanne C Brenner(
Recording
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis ... The book will be useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. Different course paths can be chosen, allowing the book to be used for courses designed for students with different interests. For example, courses can emphasize physical applications, or algorithmic efficiency and code development issues, or the more difficult convergence theorems of the subject.Back cover
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis ... The book will be useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. Different course paths can be chosen, allowing the book to be used for courses designed for students with different interests. For example, courses can emphasize physical applications, or algorithmic efficiency and code development issues, or the more difficult convergence theorems of the subject.Back cover
Balancing domain decomposition for nonconforming plate elements by
University of Minnesota(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Representations of algebras(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Multigrid methods for nonconforming finite elements by
Susanne C Brenner(
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Of the error can be accurately captured on the coarser grid. Furthermore, since the error correction is done on a coarser grid, less compuational work is involved. The multigrid method is optimal in the sense that the cost of computation is proportional to the number of unknowns
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Of the error can be accurately captured on the coarser grid. Furthermore, since the error correction is done on a coarser grid, less compuational work is involved. The multigrid method is optimal in the sense that the cost of computation is proportional to the number of unknowns
The condition number of the Schur complement in domain decomposition by
University of Minnesota(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
The Mathematical Theory of Finite Element Methods(
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Lower bounds for twolevel additive Schwarz preconditioners with small overlap by
University of Minnesota(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
The mathematical theory of finite element models by
Susanne C Brenner(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Scott, L. Ridgway Editor
 Bjørstad, Petter E. Author Editor
 Rabus, Hella Author
 Rahman, Talal Editor
 Carstensen, Carsten Other
 Widlund, Olof B. Editor
 Kornhuber, Ralf Editor
 Hoppe, Ronald H. W. Other
 Kim, Hyea Hyun Editor
 Halpern, Lawrence Editor
Associated Subjects
Boundary value problemsNumerical solutions Computational intelligence Computer scienceMathematics Computer simulation Differential equations, Partial Engineering Engineering mathematics Finite element method Finite element methodMathematics Functional analysis Mathematical physics Mathematics Mechanics, Applied Numerical analysis ScienceData processing