Babuška, Ivo
Overview
Works:  258 works in 512 publications in 5 languages and 3,354 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Thesis advisor, Honoree 
Publication Timeline
.
Most widely held works about
Ivo Babuška
Most widely held works by
Ivo Babuška
Numerical processes in differential equations by
Ivo Babuška(
Book
)
31 editions published in 1966 in 3 languages and held by 438 WorldCat member libraries worldwide
31 editions published in 1966 in 3 languages and held by 438 WorldCat member libraries worldwide
Finite element analysis by
B. A Szabo(
Book
)
13 editions published between 1991 and 2008 in English and held by 349 WorldCat member libraries worldwide
13 editions published between 1991 and 2008 in English and held by 349 WorldCat member libraries worldwide
The finite element method and its reliability by
Ivo Babuška(
Book
)
15 editions published between 2001 and 2007 in English and held by 258 WorldCat member libraries worldwide
"The Finite Element Method and its Reliability presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference."Jacket
15 editions published between 2001 and 2007 in English and held by 258 WorldCat member libraries worldwide
"The Finite Element Method and its Reliability presents the mathematical theory of the finite element method and focuses on the question of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference."Jacket
Adaptive computational methods for partial differential equations by
Ivo Babuška(
Book
)
14 editions published in 1983 in English and held by 250 WorldCat member libraries worldwide
List of participants; Elliptic equations; Parabolic equations; Hyperbolic equations
14 editions published in 1983 in English and held by 250 WorldCat member libraries worldwide
List of participants; Elliptic equations; Parabolic equations; Hyperbolic equations
Modeling, mesh generation, and adaptive numerical methods for partial differential equations by
Ivo Babuška(
Book
)
15 editions published between 1995 and 1997 in English and held by 227 WorldCat member libraries worldwide
With considerations such as complexdimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups
15 editions published between 1995 and 1997 in English and held by 227 WorldCat member libraries worldwide
With considerations such as complexdimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups
Accuracy estimates and adaptive refinements in finite element computations(
Book
)
11 editions published in 1986 in English and held by 223 WorldCat member libraries worldwide
11 editions published in 1986 in English and held by 223 WorldCat member libraries worldwide
Finite elements : an introduction to the method and error estimation by
Ivo Babuška(
Book
)
12 editions published between 2010 and 2011 in English and held by 202 WorldCat member libraries worldwide
12 editions published between 2010 and 2011 in English and held by 202 WorldCat member libraries worldwide
Mathematische Elastizitätstheorie der ebenen Probleme by
Ivo Babuška(
Book
)
21 editions published between 1955 and 1960 in 3 languages and held by 135 WorldCat member libraries worldwide
Name and subject index
21 editions published between 1955 and 1960 in 3 languages and held by 135 WorldCat member libraries worldwide
Name and subject index
Uncertain input data problems and the worst scenario method by
Ivan Hlaváček(
Book
)
13 editions published in 2004 in English and held by 128 WorldCat member libraries worldwide
This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data. A general mathematical scheme of the worst scenario method, including approximation by finite element methods, is presented, and then applied to various state problems modeled by differential equations or variational inequalities: nonlinear heat flow, Timoshenko beam vibration and buckling, plate buckling, contact problems in elasticity and thermoelasticity with and without friction, and various models of plastic deformation, to list some of the topics. Dozens of examples, figures, and tables are included. Although the book concentrates on the mathematical aspects of the subject, a substantial part is written in an accessible style and is devoted to various facets of uncertainty in modeling and to the state of the art techniques proposed to deal with uncertain input data. A chapter on sensitivity analysis and on functional and convex analysis is included for the reader's convenience. Rigorous theory is established for the treatment of uncertainty in modeling Uncertainty is considered in complex models based on partial differential equations or variational inequalities Applications to nonlinear and linear problems with uncertain data are presented in detail: quasilinear steady heat flow, buckling of beams and plates, vibration of beams, frictional contact of bodies, several models of plastic deformation, and more Although emphasis is put on theoretical analysis and approximation techniques, numerical examples are also present Main ideas and approaches used today to handle uncertainties in modeling are described in an accessible form Fairly selfcontained book
13 editions published in 2004 in English and held by 128 WorldCat member libraries worldwide
This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data. A general mathematical scheme of the worst scenario method, including approximation by finite element methods, is presented, and then applied to various state problems modeled by differential equations or variational inequalities: nonlinear heat flow, Timoshenko beam vibration and buckling, plate buckling, contact problems in elasticity and thermoelasticity with and without friction, and various models of plastic deformation, to list some of the topics. Dozens of examples, figures, and tables are included. Although the book concentrates on the mathematical aspects of the subject, a substantial part is written in an accessible style and is devoted to various facets of uncertainty in modeling and to the state of the art techniques proposed to deal with uncertain input data. A chapter on sensitivity analysis and on functional and convex analysis is included for the reader's convenience. Rigorous theory is established for the treatment of uncertainty in modeling Uncertainty is considered in complex models based on partial differential equations or variational inequalities Applications to nonlinear and linear problems with uncertain data are presented in detail: quasilinear steady heat flow, buckling of beams and plates, vibration of beams, frictional contact of bodies, several models of plastic deformation, and more Although emphasis is put on theoretical analysis and approximation techniques, numerical examples are also present Main ideas and approaches used today to handle uncertainties in modeling are described in an accessible form Fairly selfcontained book
Introduction to finite element analysis : formulation, verification and validation by
B. A Szabo(
Book
)
14 editions published between 2011 and 2014 in English and held by 113 WorldCat member libraries worldwide
"The authors believe that users of finite element analysis (FEA) software products must have a basic understanding of how mathematical models are constructed; what are the essential assumptions incorporated in a mathematical model; what is the algorithmic structure of the finite element solution; how the accuracy of the computed data can be assessed, and how to avoid common pitfalls and mistakes. The primary objective in assembling the material presented in the book is to provide a basic working knowledge of the finite element method. A professional quality software product will also be made available to the reader providing over 400 parametercontrolled examples of solved problems."
14 editions published between 2011 and 2014 in English and held by 113 WorldCat member libraries worldwide
"The authors believe that users of finite element analysis (FEA) software products must have a basic understanding of how mathematical models are constructed; what are the essential assumptions incorporated in a mathematical model; what is the algorithmic structure of the finite element solution; how the accuracy of the computed data can be assessed, and how to avoid common pitfalls and mistakes. The primary objective in assembling the material presented in the book is to provide a basic working knowledge of the finite element method. A professional quality software product will also be made available to the reader providing over 400 parametercontrolled examples of solved problems."
Mathematical modeling and numerical simulation in continuum mechanics : proceedings of the International Symposium on Mathematical
Modeling and Numerical Simulation in Continuum Mechanics, September 29October 3, 2000, Yamaguchi, Japan by
Ivo Babuška(
Book
)
8 editions published in 2002 in English and held by 105 WorldCat member libraries worldwide
This book shows the latest frontiers of the research by the most active researchers in the field of numerical mathematics. The papers in the book were presented in a symposium at Yamaguchi, Japan. The subject of the symposium was mathematical modeling and numerical simulation in continuum mechanics. The topics of the lectures ranged from solids to fluids and included both mathematical and computational analysis of phenomena and algorithms. The readers can study the latest results on shells, plates, flows in various situations, fracture of solids, new ways of exact error estimates and many other topics
8 editions published in 2002 in English and held by 105 WorldCat member libraries worldwide
This book shows the latest frontiers of the research by the most active researchers in the field of numerical mathematics. The papers in the book were presented in a symposium at Yamaguchi, Japan. The subject of the symposium was mathematical modeling and numerical simulation in continuum mechanics. The topics of the lectures ranged from solids to fluids and included both mathematical and computational analysis of phenomena and algorithms. The readers can study the latest results on shells, plates, flows in various situations, fracture of solids, new ways of exact error estimates and many other topics
Differential equations and their applications; proceedings by Czechoslovak Conference on Differential Equations and Their Applications(
Book
)
9 editions published in 1963 in English and Undetermined and held by 31 WorldCat member libraries worldwide
9 editions published in 1963 in English and Undetermined and held by 31 WorldCat member libraries worldwide
Cislennye processy res̆enija differencialʹnych uravennij by
Ivo Babuška(
Book
)
5 editions published in 1969 in Russian and held by 13 WorldCat member libraries worldwide
5 editions published in 1969 in Russian and held by 13 WorldCat member libraries worldwide
Papers presented at the seventh Conference on Numerical Methods and Computational Mechanics in Science and Engineering (NMCM
96) : Miskolc, Hungary, 1519 July 1996 by Conference on Numerical Methods and Computational Mechanics in Science and Engineering(
Book
)
6 editions published in 1998 in English and held by 11 WorldCat member libraries worldwide
6 editions published in 1998 in English and held by 11 WorldCat member libraries worldwide
Reliability in computational mechanics : proceedings of the Second Workshop on Reliability in Computational Mechanics, Technical
University of Cracow, Cracow, Poland, October 1991 by Workshop on Reliability in Computational Mechanics(
Book
)
2 editions published in 1992 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 9 WorldCat member libraries worldwide
Mixedhybrid finite element approximations of secondorder elliptic boundaryvalue problems by
Ivo Babuška(
Book
)
4 editions published between 1975 and 1977 in English and held by 6 WorldCat member libraries worldwide
Mixedhybrid finite element approximations are described for secondorder elliptic boundaryvalue problems in which independent approximations are used for the solution and its gradient on the interior of an element and the trace of the gradients on the boundary of the element. This leads to nonconforming finite elements. The independent boundary approximations are introduced by means of Lagrange multipliers. Apriori error estimates are derived. several other finite element models are also obtained as special cases. (Author)
4 editions published between 1975 and 1977 in English and held by 6 WorldCat member libraries worldwide
Mixedhybrid finite element approximations are described for secondorder elliptic boundaryvalue problems in which independent approximations are used for the solution and its gradient on the interior of an element and the trace of the gradients on the boundary of the element. This leads to nonconforming finite elements. The independent boundary approximations are introduced by means of Lagrange multipliers. Apriori error estimates are derived. several other finite element models are also obtained as special cases. (Author)
Numerické řešení diferenciálních rovnic by
Ivo Babuška(
Book
)
6 editions published in 1964 in Czech and held by 6 WorldCat member libraries worldwide
Publikace objasňuje některé obecné myšlenky o dnešním stavu numerických metod, numerický proces a jeho stabilitu, počáteční problémy obyčejných rovnic, lineární problémy, otázky okrajového problému pro obyčejnou rovnici druhého řádu i eliptické a parabolické parciální diferenciální rovnice. Omezuje se na řešení vhodná pro samočinné počítací stroje. Předpokládá základní matematické znalosti z teorie matic, z matematické analýzy i z oboru obyčejných diferenciálních rovnic
6 editions published in 1964 in Czech and held by 6 WorldCat member libraries worldwide
Publikace objasňuje některé obecné myšlenky o dnešním stavu numerických metod, numerický proces a jeho stabilitu, počáteční problémy obyčejných rovnic, lineární problémy, otázky okrajového problému pro obyčejnou rovnici druhého řádu i eliptické a parabolické parciální diferenciální rovnice. Omezuje se na řešení vhodná pro samočinné počítací stroje. Předpokládá základní matematické znalosti z teorie matic, z matematické analýzy i z oboru obyčejných diferenciálních rovnic
Analysis of mixed methods using mesh dependent norms by
Ivo Babuška(
Book
)
4 editions published in 1979 in English and held by 6 WorldCat member libraries worldwide
This paper presents a new approach to the analysis of mixed methods for the approximate solution of 4th order elliptic boundary value problems. In this approach one introduces a pair of mesh dependent norms and proves the approximation method is stable with respect to these norms. The error estimates then follow in a direct manner. In a mixed method, one introduces an auxiliary variable, usually representing another physically important quantity, and writes the differential equation as a lower order system. One then considers RitzGalerkin approximation schemes based on a variational formulation of this lower order system, thereby obtaining direct approximations to both the original and auxiliary variables. Three particular mixed methods for the approximate solution of the biharmonic problem are examined in detail
4 editions published in 1979 in English and held by 6 WorldCat member libraries worldwide
This paper presents a new approach to the analysis of mixed methods for the approximate solution of 4th order elliptic boundary value problems. In this approach one introduces a pair of mesh dependent norms and proves the approximation method is stable with respect to these norms. The error estimates then follow in a direct manner. In a mixed method, one introduces an auxiliary variable, usually representing another physically important quantity, and writes the differential equation as a lower order system. One then considers RitzGalerkin approximation schemes based on a variational formulation of this lower order system, thereby obtaining direct approximations to both the original and auxiliary variables. Three particular mixed methods for the approximate solution of the biharmonic problem are examined in detail
Selfadaptive refinements in the finite element method by
Ivo Babuška(
Book
)
4 editions published in 1975 in English and Undetermined and held by 5 WorldCat member libraries worldwide
4 editions published in 1975 in English and Undetermined and held by 5 WorldCat member libraries worldwide
Validation Challenge Workshop : [... held in Albuquerque, New Mexico, on May 2223, 2006] by
Albuquerque, NM> Validation Challenge Workshop. <2008(
Book
)
3 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
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Awards Biharmonic equationsNumerical solutions Boundary value problems Canada College teachers Computeraided engineering Computer scienceMathematics Continuum mechanics Differential equations Differential equations, EllipticNumerical solutions Differential equations, Partial Differential equations, PartialNumerical solutions Differential equations, PartialNumerical solutionsData processing Differential equationsNumerical solutions Elasticity Engineering Engineering mathematics Error analysis (Mathematics) Estimation theory Finite element method Finite element methodData processing Global analysis (Mathematics) Mathematical models Mathematical physics Mathematics Mechanics, Analytic Mechanics, AppliedData processing Mechanics, AppliedMathematical models Numerical analysis Numerical calculations Numerical grid generation (Numerical analysis) Reliability Reliability (Engineering) Research Science Scientists Structural analysis (Engineering)Mathematical models Uncertainty Uncertainty (Information theory) United States
Alternative Names
Babuška, I.
Babuška, I. 1926
Babuška, I. (Ivo)
Babuska, Ivo 1926
Babuška, Ivo M. 1926
Babuška, Ivo Milan 1926
Ivo Babuška CzechAmerican mathematician
Ivo Babuška matematico ceco
Ivo Babuška tjeckisk ingenjör och matematiker
Ivo Babuška tjekkisk ingeniør og matematiker
Ivo Babuška tschechischer Mathematiker
Ivo Babuška tsjekkisk ingeniør og matematikar
Ivo Babuška tsjekkisk ingeniør og matematiker
Ivo Babuška wiskundige uit Tsjechië
Бабушка, И
Бабушка, И. (Иво)
Иво Бабушка чешскоамериканский математик
イヴォ・バフスカ
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