Arbitrary-order intrinsic virtual element method for elliptic equations on surfaces

We develop a geometrically intrinsic formulation of the arbitrary-order Virtual Element Method (VEM) on polygonal cells for the numerical solution of elliptic surface partial differential equations (PDEs). The PDE is first written in covariant form using an appropriate local reference system. The kn...

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Veröffentlicht in:	arXiv.org 2021-05
Hauptverfasser:	Bachini, Elena, Manzini, Gianmarco, Putti, Mario
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Elliptic functions Mathematical analysis Parameterization Partial differential equations Polygons Reference systems Surface geometry
Online-Zugang:	Volltext
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