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SUMMARY:The mortar element method on composite meshes
DTSTART:20190912T161500
DTEND:20190912T173000
DTSTAMP:20260405T201629Z
UID:81db7cb1a87c711a91602608b90c17bbcda3e8d10639b823695a2576
CATEGORIES:Conferences - Seminars
DESCRIPTION:Francesca Rapetti\, INRIA MED\, Uni CE (France)\nThe mortar el
 ement method (MEM) is a non-conforming domain decomposition technique\, in
 troduced by Bernardi\, Maday and Patera [2] in the late 80s. It allows to 
 couple different variational discretization approaches for PDEs\, where di
 fferent has to be intended in a large sense. Namely\, it is possible eithe
 r to have dfferent independent meshes in the subdomains of the decompositi
 on or to couple finite elements in some subdomains with spectral ones in o
 thers or to couple different approximation degrees in the subdomains (and 
 all possible combinations of these configurations).\nOriginally\, the MEM 
 was intended for non-overlapping subdomains. Later\, to enlarge its applic
 ability and flexibility\, we studied a generalization of this method on co
 mposite meshes (thus with overlapping subdomains\, but different from that
  proposed by Achdou and Maday [1]). This new mortar element method on over
 lapping meshes have been welcomed in several contexts\, as eddy current no
 n-destructive testing and free-boundary axisymmetric plasma equilibria in 
 realistic geometries.Two meshes can either fully overlap or partially over
 lap in a narrow region. This approach allows to deal with the "random" mov
 ement of one domain w.r.t. the other or to achieve easily higher order reg
 ularity for the approximated fields while preserving accurate meshing of t
 he geometric details. The continuity of the numerical solution in the regi
 on of overlap is weakly enforced by a suitable L2 projection.\nWe refer to
  for the interested reader.\n\nReferences\n[1] Y. Achdou\, Y. Maday - The 
 mortar element method with overlapping\nsubdomains. SIAM J. Numer. Anal.\,
  vol. 40\, no. 2 (2002) 601-628.\n[2] C. Bernardi\, Y. Maday\, A. Patera -
  A new non-Conforming approach\nto domain decomposition: the mortar elemen
 t method. Seminaire XI du College\nde France\, edite par Brezis\, H.\, Lio
 ns\, J. dans Nonlinear partial di erential\nequations and their applicatio
 ns\, Pitman\, (1994) 13-51.\n[3] See "Non-conforming FEM or SEM" section a
 t the web page\nhttps://math.unice.fr/ ~frapetti/pub1.html\n 
LOCATION:CM 1 106 https://plan.epfl.ch/?room==CM%201%20106
STATUS:CONFIRMED
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