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UID:5877@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20221122T110000
DTEND;TZID=Europe/Paris:20221122T120000
DTSTAMP:20241120T200645Z
URL:https://www.i2m.univ-amu.fr/evenements/numerical-solution-of-shape-opt
 imization-problems-using-the-method-of-fundamental-solutions/
SUMMARY:Pedro Antunes (Instituto tecnico superior\, Lisbonne): Numerical so
 lution of shape optimization problems using the Method of Fundamental Solu
 tions
DESCRIPTION:Pedro Antunes: In this talk we give an overview of the applicat
 ion of the Method of Fundamental Solutions (MFS) for solving boundary valu
 e problems with elliptic PDE’s. The MFS is a meshfree numerical method f
 or which the solution is approximated by a linear combination of shifts of
  the fundamental solution of the elliptic differential operator. We presen
 t a theoretical framework providing density results and bounds for the err
 or that justify the convergence of the method. Finally\, we describe the a
 pplication of the MFS for solving some shape optimization problems for eig
 envalues\, such as the classical Laplacian eigenvalue problem\, Steklov ei
 genvalue problems or problems arising from musical acoustics.\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/08/Pedro_Antunes.jpg
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
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DTSTART:20221030T020000
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