比利时vs摩洛哥足彩
,
university of california san diego
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csme seminar
snorre christiansen
university of oslo
finite element systems of differential forms and applications to upwinding
abstract:
the notion of a finite element system is designed to provide an alternative to ciarlet's definition of a finite element, adapted to the needs of exterior calculus. it allows for cellular decompositions of space (rather than just simplexes or products thereof) and general functions (rather than just polynomials) yet guarantees compatibility with the exterior derivative and existence of commuting interpolation operators. we review basic definitions and properties. as an application, we show how a form of upwinding, compatible with the exterior derivative, can be carried out within this framework. references: s. h. christiansen, h. z. munthe-kaas, b. owren. topics in structure-preserving discretization. acta numer. 20 (2011), 1-119. s. h. christiansen. upwinding in finite element systems of differential forms. smale lecture, proceedings of focm 2011, to appear.
host: michael holst
january 24, 2013
10:00 am
ap&m 2402
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