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SUMMARY:Structure-preserving discretizations using smooth splines
DTSTART:20230206T161500
DTEND:20230206T171500
DTSTAMP:20260501T101143Z
UID:caef218a7d74e41de73d5004380bf07b35fd6d6320f563da57cbd4ca
CATEGORIES:Conferences - Seminars
DESCRIPTION:Deepesh Toshniwal (Delft University of Technology\, The Nether
 lands)\nFinite element exterior calculus (FEEC) is a framework for designi
 ng stable and accurate finite element discretizations for a wide variety o
 f systems of PDEs. The involved finite element spaces are constructed usin
 g piecewise polynomial differential forms\, and stability of the discrete 
 problems is established by preserving at the discrete level the geometric\
 , topological\, algebraic and analytic structures that ensure well-posedne
 ss of the continuous problem. The framework achieves this using methods fr
 om differential geometry\, algebraic topology\, homological algebra and fu
 nctional analysis. In this talk I will discuss the use of smooth splines w
 ithin FEEC\, motivated by the fact that smooth splines are the de facto st
 andard for representing geometries of interest in engineering and because 
 they offer superior accuracy in numerical simulations (per degree of freed
 om) compared to classical finite elements. In particular\, I will present 
 new results for smooth splines defined on unstructured meshes (i.e.\, non-
 Cartesian and/or locally-refined meshes).
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021
STATUS:CONFIRMED
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