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SUMMARY:Hywel Normington (University of Strathclyde)
DTSTART:20240422T134000Z
DTEND:20240422T151000Z
DTSTAMP:20260405T175115Z
UID:NSCM/133
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/133/">A
  decoupled\, convergent and fully linear algorithm for the Landau-Lifshitz
 -Gilbert equation with magnetoelastic effects</a>\nby Hywel Normington (Un
 iversity of Strathclyde) as part of Nečas Seminar on Continuum Mechanics\
 n\nLecture held in Room K3\,  Faculty of Mathematics and Physics\, Charles
  University\, Sokolovská 83  Prague 8..\n\nAbstract\nThe mechanical and m
 agnetic properties of ferromagnetic materials are strongly coupled. Applyi
 ng a stress to a ferromagnetic material changes the magnetic state\, and a
 pplying a magnetic field deforms it. These fall collectively under the phe
 nomena of "magnetostriction". We consider the coupled system of the Landau
 -Lifshitz-Gilbert (LLG) equation and conservation of momentum to describe 
 magnetostrictive processes. For this nonlinear system of time-dependent pa
 rtial differential equations\, we present a decoupled and unconditionally 
 convergent integrator based on linear finite elements in space and a one-s
 tep method in time. Compared to previous works on this problem\, for our m
 ethod\, we prove a discrete energy law that mimics that of the continuous 
 problem. Moreover\, we do not employ a nodal projection to impose the unit
 -length constraint on the discrete magnetization\, so that the stability o
 f the method does not require weakly acute meshes. Furthermore\, our integ
 rator and its analysis hold for a more general setting\, including body fo
 rces and traction\, and a more general representation of the magnetostrain
 .\n\nH. Normington and M. Ruggeri\, A decoupled\, convergent and fully lin
 ear algorithm for the Landau--Lifshitz--Gilbert equation with magnetoelast
 ic effects.\n(under review)\,\nhttps://arxiv.org/abs/2309.00605v2\n
LOCATION:https://researchseminars.org/talk/NSCM/133/
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