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个人简介
My scientific production consists of about 100 scientific papers, most of them in international journals, mainly on Numerical Methods for Partial Differential Equations. My field of interest is, generally speaking, the analysis of numerical schemes for the solution of elliptic partial differential equations (of second and fourth order) by means of different kinds of finite element methods: conforming, non-conforming, hybrid, mixed, and equilibrium. More specifically, I applied finite element techniques for the treatment of problems coming from various applications: semiconductor device simulation, electromagnetism, fluid-dynamics, structural mechanics. Particular emphasis was given to the approximation of non-coercive problems, which lead to develop various techniques for stabilizing Galerkin formulations, for applications to domain decomposition methods with non-matching grids, and to advection dominated problems. In the last decade I was particularly interested in developing and analyzing schemes based on Discontinuous Galerkin methods, for the discretization of various applied problems, such as Darcy flows, advection-diffusion problems, and Reissner-Mindlin model for plate problems. The more recent production is devoted to a new technique, the Virtual Element Method, for the discretization of Pde’s with applications. Below the list of the latest publications.
研究兴趣
论文共 87 篇作者统计合作学者相似作者
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BULLETIN OF MATHEMATICAL SCIENCESno. 03 (2023)
ACTA NUMERICA (2023): 123-202
Acta Numer. (2023): 123-202
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Acta Numerica (2023): 123-202
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCESno. 14 (2021): 2819-2824
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCESno. 8 (2020): 1555.0-1590.0
arxiv(2019)
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The SMAI journal of computational mathematics (2018): 399-416
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