BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Sabre//Sabre VObject 4.5.8//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:Europe/Zurich X-LIC-LOCATION:Europe/Zurich TZURL:http://tzurl.org/zoneinfo/Europe/Zurich BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:19810329T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:19961027T030000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:news1939@dmi.unibas.ch DTSTAMP;TZID=Europe/Zurich:20251029T175015 DTSTART;TZID=Europe/Zurich:20251107T110000 SUMMARY:Seminar in Numerical Analysis: Rekha Khot (ENPC et Inria\, Paris) DESCRIPTION:We consider the classical wave equation in a Friedrichs-type fo rmulation involving a skew-symmetric spatial differential operator. The fo cus is on the analysis of a fully discrete setting\, employing third- and fourth-order explicit Runge–Kutta schemes (ERK3 and ERK4) for time discr etization\, combined with Hybrid High-Order (HHO) and Weak Galerkin (WG) m ethods for spatial discretization. A first objective is to establish key p roperties that address the static coupling between cell and face unknowns\ , which is intrinsic to hybrid methods.\\r\\nWe investigate two distinct s trategies for error analysis: one based on bounding the operator norm of T aylor polynomials applied to the discrete differential operator\, and anot her that involves testing the error equations with appropriately chosen in crements. The effectiveness of these strategies depends on the specific in terpolation operators involved and the properties that make such analyses viable. Finally\, we outline how the same framework\, using various HHO va riants\, extends to the acoustic-elastic interface problem\, where the cou pled terms contribute no additional error.\\r\\nFor further information ab out the seminar\, please visit this webpage [https://dmi.unibas.ch/de/fors chung/mathematik/seminar-in-numerical-analysis/]. X-ALT-DESC:

We consider the classical wave equation in a Friedrichs-type formulation involving a skew-symmetric spatial differential operator. The focus is on the analysis of a fully discrete setting\, employing third- an d fourth-order explicit Runge–Kutta schemes (ERK3 and ERK4) for time dis cretization\, combined with Hybrid High-Order (HHO) and Weak Galerkin (WG) methods for spatial discretization. A first objective is to establish key properties that address the static coupling between cell and face unknown s\, which is intrinsic to hybrid methods.

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We investigate two disti nct strategies for error analysis: one based on bounding the operator norm of Taylor polynomials applied to the discrete differential operator\, and another that involves testing the error equations with appropriately chos en increments. The effectiveness of these strategies depends on the specif ic interpolation operators involved and the properties that make such anal yses viable. Finally\, we outline how the same framework\, using various H HO variants\, extends to the acoustic-elastic interface problem\, where th e coupled terms contribute no additional error.

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For further inform ation about the seminar\, please visit this webpage.

DTEND;TZID=Europe/Zurich:20251107T123000 END:VEVENT END:VCALENDAR