DescriptionThe finite element method has become a method of choice for computational engineering and science simulations. This hands-on tutorial will focus on the interactive development of finite element applications using the commercial software COMSOL Multiphysics. It will consist of one or two mini-projects selected among topics pertaining to classical engineering. These projects will be educative and entertaining and will serve as a basis to illustrate some of the fundamental features of the finite element method, such as the variational formulation of classical boundary value problems, finite element space and solution procedures, matrix assembly, mesh generation, convergence analysis and discretization errors, and the development of multimodel/multiphysics applications. The tutorial is targeted to first-year graduate students as well as researchers interested in an introductory exposition of the finite element method and in learning how to use commercial code COMSOL Multiphysics. The principal objective of the tutorial will be to learn the necessary skills to make appropriate use of the finite element method for the analysis of problems in solid and fluid mechanics. The other objective will be to familiarize students with the commercial software COMSOL Multiphysics so that, by the end of the tutorial, they should be able to develop their own applications in their respective research fields or during their curriculum at KAUST.
Dr. Régis Cottereau is a CNRS Research Associate at the LMSSMat laboratory at École Centrale Paris, France. He received an engineering diploma from both École Centrale Paris, France, and Universidad Politécnica de Madrid, Spain, in 2002 and received his Ph.D. in Computational Mechanics from École Centrale Paris in 2007. He was then a post-doctoral research associate at the Institut de Physique du Globe de Paris, France, and at the Laboratori de Càlcul Numèric (LaCàN) at the Universitat Politècnica de Catalunya, Spain. His areas of expertise are concerned with the development of stochastic methods for computational mechanics, in particular, for the validation of physico-mathematical models and the development of numerical methods for the verification of finite element approximations.
Dr. Serge Prudhomme is a Research Scientist at the Institute for Computational Engineering and Sciences at The University of Texas at Austin. He graduated from Ecole Centrale de Lille, France, in 1991 with a Diploma of Engineering and from the University of Virginia in 1992 with a Master of Science in Mechanical and Aerospace Engineering. He received his Ph.D. in Aerospace Engineering in 1999 from UT Austin. He has published about 50 refereed articles and book chapters in scientific international journals. His area of expertise includes the Finite Element Method and Numerical Analysis with applications to fluid and solid mechanics
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