BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Elisabeth Larsson (Uppsala Universitet\, Sweden) DTSTART:20211005T140000Z DTEND:20211005T150000Z DTSTAMP:20260423T052451Z UID:SNAP/12 DESCRIPTION:Title: Lo calized least-squares radial basis function methods for PDEs\nby Elisa beth Larsson (Uppsala Universitet\, Sweden) as part of Seminars on Numeric s and Applications\n\n\nAbstract\nRadial basis function (RBF) approximatio n methods are attractive\nfor solving PDEs due to their flexibility with r espect to geometry\,\nthe potential for high-order accuracy\, and their ea se of use.\nSince global approximations come with a high computational cos t\,\nthe trend has been towards localized approximations.\nThe two main cl asses are stencil-based methods (RBF-FD) and partition\nof unity methods ( RBF-PUM). These are cost efficient and work well.\nHowever\, it has been d ifficult to derive complete convergence\nproofs for the collocation method s. Recently\, several authors have\ninvestigated how to introduce oversam pling into the PDE solution procedures.\nThis improves the approximation s tability\, and the least-square versions\nof the methods can be computatio nally competitive compared with their\ncollocation counterparts. Furthermo re\, for the least-squares methods\nwe are able to derive convergence proo fs using approaches based on the\ncontinuous approximation problem. In thi s talk\, we present recent algorithmic\nand theoretical developments as we ll as numerical results for a variety of PDE problems.\n LOCATION:https://researchseminars.org/talk/SNAP/12/ END:VEVENT END:VCALENDAR