Finite Element Exterior Calculus
Douglas N. Arnold
Finite Element Exterior Calculus
Douglas N. Arnold
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Engels
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Omschrijving
Presents the fundamentals of finite element exterior calculus, including the geometrical and functional analysis preliminaries, quickly and in one place. The book is also for mathematicians from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.
Douglas N. Arnold is McKnight Presidential Professor of Mathematics at the University of Minnesota. He is a mathematician and educator whose research focuses on numerical analysis, PDEs, mechanics, and the interplay among these fields. He is known as the originator of FEEC, first presented in his plenary lecture at the International Congress of Mathematicians in 2002. Professor Arnold's many accomplishments include the award of a Guggenheim Fellowship; election as a foreign member of the Norwegian Academy of Science and Letters; Fellowship in the Society for Industrial and Applied Mathematics (SIAM), the American Association for the Advancement of Science (AAAS), and the American Mathematical Society (AMS); and serving as president of SIAM and director of the Institute of Mathematics and Its Applications (IMA). He received the SIAM Prize for Distinguished Service to the Profession and the J. Tinsley Oden Medal of the U.S. Association for Computational Mechanics. In 2007 he coauthored an award-winning video, “Möbius Transformations Revealed,” which has garnered over two million views on YouTube.
Douglas N. Arnold is McKnight Presidential Professor of Mathematics at the University of Minnesota. He is a mathematician and educator whose research focuses on numerical analysis, PDEs, mechanics, and the interplay among these fields. He is known as the originator of FEEC, first presented in his plenary lecture at the International Congress of Mathematicians in 2002. Professor Arnold's many accomplishments include the award of a Guggenheim Fellowship; election as a foreign member of the Norwegian Academy of Science and Letters; Fellowship in the Society for Industrial and Applied Mathematics (SIAM), the American Association for the Advancement of Science (AAAS), and the American Mathematical Society (AMS); and serving as president of SIAM and director of the Institute of Mathematics and Its Applications (IMA). He received the SIAM Prize for Distinguished Service to the Profession and the J. Tinsley Oden Medal of the U.S. Association for Computational Mechanics. In 2007 he coauthored an award-winning video, “Möbius Transformations Revealed,” which has garnered over two million views on YouTube.