C1 finite elements on non-tensor-product 2d and 3d manifolds
Abstract
Geometrically continuous (Gk) constructions naturally yield families of finite elements for isogeometric analysis (IGA) that are Ck also for non-tensor-product layout. This paper describes and analyzes one such concrete C1 geometrically generalized IGA element (short: gIGA element) that generalizes bi-quadratic splines to quad meshes with irregularities. The new gIGA element is based on a recently-developed G1 surface construction that...
Paper Details
Title
C1 finite elements on non-tensor-product 2d and 3d manifolds
Published Date
Jan 1, 2016
Volume
272
Pages
148 - 158
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