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SUMMARY:Lucia Swoboda (Chalmers & GU)
DTSTART:20241111T121500Z
DTEND:20241111T130000Z
DTSTAMP:20260417T003522Z
UID:cam/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/48/">On 
 a Galerkin-Bubnov variational formulation for the heat equation in anisotr
 opic Sobolev spaces\, using the modified Hilbert transform</a>\nby Lucia S
 woboda (Chalmers & GU) as part of CAM seminar\n\nLecture held in MV:L14.\n
 \nAbstract\nThe modified Hilbert transform arises naturally when consideri
 ng a Galerkin-Bubnov variational formulation for the heat equation in anis
 otropic Sobolev spaces. In this talk\, I will introduce the modified Hilbe
 rt transform and its main properties. I will explain how this operator lea
 ds to unique solvability of a variational formulation in anisotropic Sobol
 ev spaces and to stability in the case of space-time tensor product discre
 tization. Although the discrete inf-sup constant depending on the finite e
 lement mesh parameter initially suggests a reduced order of convergence du
 e to the structure of Céa's lemma\, optimal convergence is observed for a
  large class of functions.\n
LOCATION:https://researchseminars.org/talk/cam/48/
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