Ivo Babuška
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Ivo M. Babuška (born March 22, 1926, in
Prague Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate ...
) is a
Czech Czech may refer to: * Anything from or related to the Czech Republic, a country in Europe ** Czech language ** Czechs, the people of the area ** Czech culture ** Czech cuisine * One of three mythical brothers, Lech, Czech, and Rus' Places * Czech, ...
-
American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
, noted for his studies of the
finite element method The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat ...
and the proof of the
Babuška–Lax–Milgram theorem In mathematics, the Babuška–Lax–Milgram theorem is a generalization of the famous Lax–Milgram theorem, which gives conditions under which a bilinear form can be "inverted" to show the existence and uniqueness of a weak solution to a given ...
in
partial differential equations In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to ...
. One of the celebrated result in the finite elements is the so-called Ladyzenskaja–Babuška–Brezzi (LBB) condition (also referred to in some literature as Banach–Necas–Babuška (BNB)), which provides sufficient conditions for a stable mixed formulation. The LBB condition has guided mathematicians and engineers to develop state-of-the-art formulations for many technologically important problems like Darcy flow,
Stokes flow Stokes flow (named after George Gabriel Stokes), also named creeping flow or creeping motion,Kim, S. & Karrila, S. J. (2005) ''Microhydrodynamics: Principles and Selected Applications'', Dover. . is a type of fluid flow where advective iner ...
, incompressible Navier–Stokes, nearly incompressible elasticity. He is also well known for his work on adaptive methods and the '' p-''- and '' hp-''-versions of the finite element method. He also developed the mathematical framework for the partition of unity methods. Babuska was elected as a member to the
National Academy of Engineering The National Academy of Engineering (NAE) is an American nonprofit, non-governmental organization. The National Academy of Engineering is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy ...
in 2005 for contributions to the theory and implementation of finite element methods for computer-based engineering analysis and design.


Life

Ivo Babuška was born on March 22, 1926, in Prague, the son of architect Milan Babuška (who designed the
National Technical Museum (Prague) The National Technical Museum ( cs, Národní technické muzeum) (NTM) in Prague is the largest institution dedicated to preserving information and artifacts related to the history of technology in the Czech Republic. The museum has large exhibi ...
) and his wife Marie. He studied
civil engineering Civil engineering is a professional engineering discipline that deals with the design, construction, and maintenance of the physical and naturally built environment, including public works such as roads, bridges, canals, dams, airports, sewage ...
at the
Czech Technical University in Prague Czech Technical University in Prague (CTU, cs, České vysoké učení technické v Praze, ČVUT) is one of the largest university, universities in the Czech Republic with 8 faculties, and is one of the oldest institutes of technology in Centra ...
, where he received the Dipl. Ing in 1949. In 1951 he received the degree Dr. Tech.; his doctoral dissertation was supervised by
Eduard Čech Eduard Čech (; 29 June 1893 – 15 March 1960) was a Czech mathematician. His research interests included projective differential geometry and topology. He is especially known for the technique known as Stone–Čech compactification (in topo ...
and Vladimir Knichal. From 1949 he studied at Mathematical Institute of the
Czechoslovak Academy of Sciences The Czechoslovak Academy of Sciences (Czech: ''Československá akademie věd'', Slovak: ''Česko-slovenská akadémia vied'') was established in 1953 to be the scientific center for Czechoslovakia. It was succeeded by the Czech Academy of Science ...
and then was the head of the Department of Partial Differential Equations. In 1955, he received a C.Sc (=
Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...
) in mathematics and in 1960
D.Sc. Doctor of Science ( la, links=no, Scientiae Doctor), usually abbreviated Sc.D., D.Sc., S.D., or D.S., is an academic research degree awarded in a number of countries throughout the world. In some countries, "Doctor of Science" is the degree used f ...
in mathematics. He is married to Renata and they had two children, a girl, Lenka and a boy, Vit. Babuška fled Communist Czechoslovakia in 1968 with barely more than he could carry, following a conference in Western Europe, and emigrated to the United States. After many years as a professor at the
University of Maryland The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of M ...
, he eventually moved to the
University of Texas at Austin The University of Texas at Austin (UT Austin, UT, or Texas) is a public research university in Austin, Texas. It was founded in 1883 and is the oldest institution in the University of Texas System. With 40,916 undergraduate students, 11,075 ...
where he spent many years at the Oden Institute for Computational Engineering and Sciences. He moved to New Mexico in 2020, following retirement in 2018 at the age of 92.


Work

Babuška works in the field of mathematics, applied mathematics, numerical methods, finite element methods, and computational mechanics. In 1968, he became a professor at
University of Maryland, College Park The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of Mary ...
in the mathematics department, which is part of the
University of Maryland College of Computer, Mathematical, and Natural Sciences The College of Computer, Mathematical, and Natural Sciences (CMNS) at the University of Maryland, College Park, is home to ten academic departments and a dozen interdisciplinary research centers and institutes. CMNS is one of 13 schools and colleg ...
. He retired in 1996 as a Distinguished University Professor. In 1989 he co-founded the company ESRD, Inc. which developed the StressCheck finite element software, putting into practice much of Babuška's research and contributions to the finite element method. After his time at the University of Maryland, he moved to the
Institute for Computational Engineering and Sciences The Oden Institute for Computational Engineering and Sciences is an interdisciplinary research unit and graduate program at The University of Texas at Austin dedicated to advancing computational science and engineering through a variety of progra ...
at the
University of Texas at Austin The University of Texas at Austin (UT Austin, UT, or Texas) is a public research university in Austin, Texas. It was founded in 1883 and is the oldest institution in the University of Texas System. With 40,916 undergraduate students, 11,075 ...
where he held the Robert B. Trull Chair in Engineering. Babuška has published more than 300 papers in refereed journals, more than 70 papers in conference proceedings, and several books. He was an invited speaker at many major international conferences and a member of numerous editorial boards for scientific journals. In 2018 he retired as Professor Emeritus. Among his more than 30 doctoral students are Christoph Schwab and Michael Vogelius.


Honors

He has received many honors for his work, including five doctorates ''
honoris causa An honorary degree is an academic degree for which a university (or other degree-awarding institution) has waived all of the usual requirements. It is also known by the Latin phrases ''honoris causa'' ("for the sake of the honour") or ''ad hono ...
'', member of European Academy of Sciences (2003), Fellow of SIAM and ICAM, the Czechoslovak State prize for Mathematics, the
Leroy P. Steele Prize The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. Since 1993, there has been a formal division into three categories. The prizes have b ...
(2012), the
Birkhoff Prize The George David Birkhoff Prize in applied mathematics is awarded – jointly by the American Mathematical Society (AMS) and the Society for Industrial and Applied Mathematics (SIAM) – in honour of George David Birkhoff (1884–1944). It is curr ...
(1994), the Humboldt Award of
Federal Republic of Germany Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated between ...
, the Neuron Prize Czech Republic, Honorary Foreign Member of the Czech Learned Society and the Bolzano Medal. In 2003, asteroid 36060 Babuška was named in his honor by the
International Astronomical Union The International Astronomical Union (IAU; french: link=yes, Union astronomique internationale, UAI) is a nongovernmental organisation with the objective of advancing astronomy in all aspects, including promoting astronomical research, outreac ...
. In 2005, Babuska was awarded the Honorary Medal "De Scientia Et Humanitate Optime Meritis", received the ICAM Congress Medal (Newton Gauss, 2016) and he was elected to the
National Academy of Engineering The National Academy of Engineering (NAE) is an American nonprofit, non-governmental organization. The National Academy of Engineering is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy ...
. He is also a member of the Academy of Medicine, Engineering, and Sciences of Texas.


See also

*
Discontinuous Galerkin method In applied mathematics, discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations. They combine features of the finite element and the finite volume framework and have been successfully applie ...
* Kahan–Babuška summation


References


External links

*
ISI Highly Cited Author – Ivo Babuška
{{DEFAULTSORT:Babuska, Ivo Numerical analysts 20th-century Czech mathematicians 21st-century American mathematicians Czech educators Engineers from Prague Members of the United States National Academy of Engineering University of Maryland, College Park faculty University of Texas at Austin faculty People associated with the finite element method Fellows of the Society for Industrial and Applied Mathematics Czechoslovak emigrants to the United States Mathematicians from Prague 1926 births Living people Czech Technical University in Prague alumni Czechoslovak mathematicians Czechoslovak exiles