Polytope finite elements

By Peter Milbradt, T. Pick. 2008

55 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computer Graphics and Computer-Aided Design, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f0a0aa3f9da51327aaf03397075e18fe606a00b8

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In Civil and Structural Engineering

In Computer Graphics and Computer-Aided Design

In Mechanics of Materials

Citations in the corpus

Polygon scaled boundary finite elements for crack propagation modelling (2012, methodology): “This method retains the attractive feature of the SBFEM in that it does not require any nodal enrichment or special integration techniques such as in [13–19, 21–25] and yet, still captures the singular stress field at the crack tip Compared with the polygon elements developed in [1–3, 21, 22], class”
New perspectives on polygonal and polyhedral finite element methods (2014, methodology): “Along with the advances of barycentric coordinates in graphics, there has been a parallel development of barycentric finite element and boundary element methods on polygons and polyhedra [5, 39, 40, 41, 17, 42, 43, 44, 45, 46, 47, 48, 49, 50], with recent applications in fracture modeling [51, 52, 5”
A scaled boundary polygon formulation for elasto-plastic analyses (2014, background): “The development of adaptive h- and p-versions of polygon elements was reported by Milbradt and Pick [5].”
On the Virtual Element Method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes (2013, methodology): “Other works include constructions based on natural element [16], non-Sibson [17], and mean value coordinates [18], the smoothed finite element method [19], and the extension of the so-called mean-quadrature approach to polyhedral grids [20].”
Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons (2013, background): “Milbradt and Pick [11] present a construction for 2”
A displacement‐based finite element formulation for general polyhedra using harmonic shape functions (2014, methodology): “Shape functions derived from meshless methods have also been used to develop polyhedral finite elements [3, 5, 8].”