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Hiptmair–Xu Preconditioner
In mathematics, Hiptmair–Xu (HX) preconditioners are preconditioners for solving H(\operatorname) and H(\operatorname) problems based on the auxiliary space preconditioning framework. An important ingredient in the derivation of HX preconditioners in two and three dimensions is the so-called regular decomposition, which decomposes a Sobolev space function into a component of higher regularity and a scalar or vector potential. The key to the success of HX preconditioners is the discrete version of this decomposition, which is also known as HX decomposition. The discrete decomposition decomposes a discrete Sobolev space function into a discrete component of higher regularity, a discrete scale or vector potential, and a high-frequency component. HX preconditioners have been used for accelerating a wide variety of solution techniques, thanks to their highly scalable parallel implementations, and are known as AMS and ADS precondition. HX preconditioner was identified by the U.S. Depa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gianluigi Rozza
Gianluigi Rozza is an aerospace engineer and mathematician best known for his work on reduced-order modeling. He is currently full professor of Numerical Analysis at the International School for Advanced Studies (SISSA) in Trieste, where he serves as head of SISSA Mathematics Area and SISSA Director's Delegate for Research Valorisation, Innovation, and Industrial Cooperation. Personal life and education G. Rozza was born and raised in Italy where he earned a bachelor's and master's degree in Aerospace Engineering from the Polytechnic University of Milan in the year 2002. He subsequently moved to Lausanne, Switzerland to join the École Polytechnique Fédérale de Lausanne (EPFL) for postgraduate studies. At EPFL, he received a PhD in Numerical Analysis in 2005. His thesis, titled 'Shape Design by Optimal Flow Control and Reduced basis Techniques: Applications to Bypass Configurations in Haemodynamics', was completed under the supervision of Alfio Quarteroni and Anthony Tyr Pat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |