WorldCat Identities

Gunzburger, Max D.

Overview
Works: 37 works in 108 publications in 2 languages and 1,877 library holdings
Genres: Conference proceedings 
Roles: Editor
Classifications: TA357, 518.25
Publication Timeline
Key
Publications about  Max D Gunzburger Publications about Max D Gunzburger
Publications by  Max D Gunzburger Publications by Max D Gunzburger
Most widely held works by Max D Gunzburger
Least-squares finite element methods by Pavel B Bochev ( )
17 editions published between 2009 and 2011 in English and held by 592 WorldCat member libraries worldwide
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. This book presents the theory and practice of least-square finite element methods, their strengths and weaknesses, successes, and open problems
Finite element methods for viscous incompressible flows : a guide to theory, practice, and algorithms by Max D Gunzburger ( Book )
11 editions published in 1989 in English and German and held by 328 WorldCat member libraries worldwide
In this book, the author examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms
Incompressible computational fluid dynamics : trends and advances ( Book )
15 editions published between 1992 and 2009 in English and held by 306 WorldCat member libraries worldwide
Perspectives in flow control and optimization by Max D Gunzburger ( Book )
9 editions published between 2002 and 2003 in English and held by 157 WorldCat member libraries worldwide
Flow control and optimization has been an important part of experimental flow science throughout the last century. As research in computational fluid dynamics (CFD) matured, CFD codes were routinely used for the simulation of fluid flows. Subsequently, mathematicians and engineers began examining the use of CFD algorithms and codes for optimization and control problems for fluid flows. Perspectives in Flow Control and Optimization presents flow control and optimization as a subdiscipline of computational mathematics and computational engineering. It introduces the development and analysis of several approaches for solving flow control and optimization problems through the use of modern CFD and optimization methods. The author discusses many of the issues that arise in the practical implementation of algorithms for flow control and optimization, and provides the reader with a clear idea of what types of flow control and optimization problems can be solved, how to develop effective algorithms for solving such problems, and potential problems in implementing the algorithms. Audience: this book is written for both those new to the field of control and optimization as well as experienced practitioners, including engineers, applied mathematicians, and scientists interested in computational methods for flow control and optimization. Readers with a solid background in calculus and only slight familiarity with partial differential equations should find the book easy to understand. Knowledge of fluid mechanics, computational fluid dynamics, calculus of variations, control theory or optimization is beneficial, but is not essential, to comprehend the bulk of the presentation. Only Chapter 6 requires a substantially higher level of mathematical knowledge, most notably in the areas of functional analysis, numerical analysis, and partial differential equations
Flow control by Max D Gunzburger ( Book )
6 editions published in 1995 in English and German and held by 154 WorldCat member libraries worldwide
The articles in this volume cover recent work in the area of flow control from the point of view of both engineers and mathematicians. These writings are especially timely, as they coincide with the emergence of the role of mathematics and systematic engineering analysis in flow control and optimization. Recently this role has significantly expanded to the point where now sophisticated mathematical and computational tools are being increasingly applied to the control and optimization of fluid flows. These articles document some important work that has gone on to influence the practical, everyday design of flows; moreover, they represent the state of the art in the formulation, analysis, and computation of flow control problems. This volume will be of interest to both applied mathematicians and to engineers
Accuracy of least-squares method for the Navier-Stokes equations by Pavel B Bochev ( Book )
3 editions published in 1993 in English and held by 85 WorldCat member libraries worldwide
Analysis, approximation, and computation of a coupled solid/fluid temperature control problem by Max D Gunzburger ( Book )
3 editions published in 1993 in English and held by 82 WorldCat member libraries worldwide
On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations by Max D Gunzburger ( Book )
2 editions published in 1986 in English and held by 64 WorldCat member libraries worldwide
Mathematical aspects of finite element methods for incompressible viscous flows by Max D Gunzburger ( Book )
2 editions published in 1986 in English and held by 63 WorldCat member libraries worldwide
We survey some mathematical aspects of finite element methods for incompressible viscous flows, concentrating on the steady primitive variable formulation. We address the discretization of a weak formulation of the Navier Stokes equations; we then consider the div-stability condition, whose satisfaction insures the stability of the approximation. Specific choices of finite element spaces for the velocity and pressure are then discussed. Finally, the connection between different weak formulations and a variety of boundary conditions is explored
Beiträge zur Kasuistik der Elephantiasis by Max D Gunzburger ( Book )
3 editions published in 1897 in German and held by 8 WorldCat member libraries worldwide
Optimal design and control : proceedings of the Workshop on Optimal Design and Control, Blacksburg, Virginia, April 8-9, 1994 by Jeffrey Borggaard ( Book )
4 editions published between 1994 and 1995 in English and held by 7 WorldCat member libraries worldwide
An adaptive wavelet viscosity method for hyperbolic conservation laws by Daniel Castaño Díez ( Book )
3 editions published in 2007 in English and held by 6 WorldCat member libraries worldwide
Finite dimensional approximation of a class of constrained nonlinear optimal control problems by Max D Gunzburger ( Book )
2 editions published in 1994 in English and held by 4 WorldCat member libraries worldwide
An abstract framework for the analysis and approximation of a class of nonlinear optimal control and optimization problems is constructed. Nonlinearities occur in both the objective functional and in the constraints. The framework includes an abstract nonlinear optimization problem posed on infinite dimensional spaces, and approximate problem posed on finite dimensional spaces, together with a number of hypotheses concerning the two problems. The framework is used to show that optimal solutions exist, to show that Lagrange multipliers may be used to enforce the constraints, to derive an optimality system from which optimal states and controls may be deduced, and to derive existence results and error estimates for solutions of the approximate problem. The abstract framework and the results derived from that framework are then applied to three concrete control or optimization problems and their approximation by finite element methods. The first involves the von Karman plate equations of nonlinear elasticity, the second, the Ginzburg-Landau equations of superconductivity, and the third, the Navier-Stokes equations for incompressible, viscous flows. Optimal control, Nonlinear partial differential equations, Finite dimensional approximation, Finite element methods, Von Karman equations, Ginzburg-Landau equations, Navier-Stokes equations
Mixed Finite Element Methods with Applications to Flow and Other Problems ( Book )
2 editions published in 1983 in English and held by 2 WorldCat member libraries worldwide
The thrust of this work was the development of efficient and accurate finite element methods for flow problems. Specific applications include periodic acoustic problems, potential flow problems and incompressible viscous flows. However, the theoretical analyses carried out also have a direct bearing on the approximation of problems in other areas, e.g., electromagnetics and elasticity. For the particular fluids applications mentioned above, computer codes implementing the algorithms have also been developed
Selected papers presented at the Com2MaC Conference on Computational Mathematics by Conference on Computational Mathematics ( Book )
2 editions published in 2006 in English and held by 2 WorldCat member libraries worldwide
On numerical methods for acoustic problems by George J Fix ( Book )
2 editions published between 1978 and 1982 in English and held by 1 WorldCat member library worldwide
Diffraction of shock wave by a thin wing symmetric and antisymmetric problems ( Book )
1 edition published in 1969 in English and held by 1 WorldCat member library worldwide
Perspectives in Flow Control and Optimization / M.D. Gunzburger by Max D Gunzburger ( )
in English and held by 1 WorldCat member library worldwide
Contenido: Introducción (Historia del control de fluidos y la optimización; control de flujo: con fluidos, sin y con optimización); Tres aproximaciones del control optimo y la optimización; Ejemplos de tres aproximaciones; Cuestiones de consistencia y exactitud; Reducción del costo de optimización y cálculos de control; Mirada del análisis numérico y del control de flujo optimo; Mirada breve del control de retroalimentación de fluidos
Sensitivity analysis of a shape control problem for the stationary Navier-Stokes equations by Max D Gunzburger ( Book )
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
On mixed finite element methods by George J Fix ( Book )
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
 
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Alternative Names
Gunzburger, Max
Languages
English (85)
German (5)
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