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SUMMARY:H^m non-conforming finite element spaces on polygonal meshes in ar
 bitrary dimensions
DTSTART:20260728T081500Z
DTEND:20260728T091500Z
DTSTAMP:20260607T054800Z
UID:indico-event-330@indico.rz.uni-jena.de
DESCRIPTION:Speakers: Shudan Tian (Xiangtan University)\n\nIn this talk\, 
 I will introduce a non-conforming element method for 2m-th order elliptic 
 problems in arbitrary dimensions on polygonal meshes.This construction is 
 based on the Staggered Discontinuous Galerkin (SDG) method. We consider a 
 mixed formulation where the tensor σ​ and the displacement u​ are dis
 cretized on two different meshes. This approach relaxes the continuity req
 uirements for σ. Moreover\, we propose a geometric decomposition for m-th
  order symmetric tensors\, which is crucial for proving the inf‑sup cond
 ition.The method can be viewed as a non‑conforming element scheme that p
 laces all degrees of freedom on (d–1)-dimensional faces\, making it stra
 ightforward to implement. A large number of degrees of freedom can be cond
 ensed within the SDG framework. Finally\, numerical experiments validate o
 ur theoretical findings.\n\nhttps://indico.rz.uni-jena.de/event/330/
LOCATION:tba (Inselplatz 5)
URL:https://indico.rz.uni-jena.de/event/330/
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