Το επιστημονικό περιοδικό Mathematics and Computers in Simulation δημοσιεύει άρθρο του Dr. Θεοδόση Θεοδοσίου, Επίκουρου Καθηγητή του Τμήματός μας, με τίτλο: Derivative-orthogonal non-uniform B-Spline wavelets
Περίληψη:
This paper attempts to merge the concept of hierarchical finite element analysis (FEA) into isogeometric analysis (IGA). The proposed methodology replaces the traditional grid refinement of IGA with custom enrichment functions. The enrichment functions are properly designed BSpline wavelets tailored to eliminate scale-coupling terms in the stiffness matrix. In this way, the refined solution is synthesized from contributions of smaller independent problems. The proposed approach has two obvious benefits: (1) the calculations performed at each resolution are not discarded when proceeding to a finer one, and (2) it has less computational requirements since the solution is divided into smaller systems. Numerical results on an elasticity problem demonstrate superior performance and accuracy compared to traditional FEA and IGA schemes.
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