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BEGIN:VEVENT
SUMMARY:Umberto Zerbinati
DTSTART:20260211T080000Z
DTEND:20260211T090000Z
DTSTAMP:20260422T122532Z
UID:MathMAC/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathMAC/50/"
 >Structure-Preserving FEEC Methods for Spectral and Pseudospectral Analysi
 s of Dynamo Operators</a>\nby Umberto Zerbinati as part of Modelling of ma
 terials - theory\, model reduction and efficient numerical methods (UNCE M
 athMAC)\n\n\nAbstract\nNumerical dynamo problems involve advection–diffu
 sion operators whose spectral and pseudospectral properties play a central
  role in determining growth rates\, stability\, and transient amplificatio
 n. Their reliable numerical approximation remains challenging\, particular
 ly in advection-dominated and strongly non-normal regimes. In this talk\, 
 I present a structure-preserving finite element exterior calculus (FEEC) f
 ramework for dynamo-type advection–diffusion operators acting on differe
 ntial forms. The discretization is based on finite element de Rham complex
 es and preserves the geometric and topological structure of the continuous
  problem. Within this setting\, we investigate the approximation of spectr
 a and pseudospectra and derive a priori error estimates for pseudospectral
  convergence. We also discuss the role of exponential transformations for 
 advection–diffusion operators and their consequences for the asymptotic 
 behavior of solutions.\n
LOCATION:https://researchseminars.org/talk/MathMAC/50/
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