scholarly journals Curvature Computation for Triangular Meshes based on Local Parametrization

2008 ◽  
Vol 5 (1-4) ◽  
pp. 220-227 ◽  
Author(s):  
Fuhua (Frank) Cheng ◽  
Conglin Huang ◽  
Shuhua Lai ◽  
Fengtao Fan ◽  
Jiaxi Wang ◽  
...  
Keyword(s):  
Triangular Meshes ◽  
Local Parametrization ◽  
Curvature Computation

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

CALCOLO ◽  
2021 ◽  
Vol 58 (3) ◽  
Author(s):  
Elena Bachini ◽  
Gianmarco Manzini ◽  
Mario Putti
Keyword(s):  
Arbitrary Order ◽  
Surface Geometry ◽  
Virtual Element Method ◽  
Anisotropic Character ◽  
Local Reference System ◽  
Local Reference ◽  
Local Parametrization ◽  
Manufactured Solution ◽  
Virtual Element ◽  
Element Method

AbstractWe 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 knowledge of the local parametrization allows us to consider the two-dimensional VEM scheme, without any explicit approximation of the surface geometry. The theoretical properties of the classical VEM are extended to our framework by taking into consideration the highly anisotropic character of the final discretization. These properties are extensively tested on triangular and polygonal meshes using a manufactured solution. The limitations of the scheme are verified as functions of the regularity of the surface and its approximation.

scholarly journals Approximating uniform triangular meshes in polygons

2002 ◽  
Vol 289 (2) ◽  
pp. 879-895 ◽  
Author(s):  
Franz Aurenhammer ◽  
Naoki Katoh ◽  
Hiromichi Kojima ◽  
Makoto Ohsaki ◽  
Yinfeng Xu
Keyword(s):  
Triangular Meshes

An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model

2008 ◽  
Vol 76 (3) ◽  
pp. 337-350 ◽  
Author(s):  
Yinhua Xia ◽  
S. C. Wong ◽  
Mengping Zhang ◽  
Chi-Wang Shu ◽  
William H. K. Lam
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Flow Model ◽  
Pedestrian Flow ◽  
Triangular Meshes

Local binary patterns on triangular meshes: Concept and applications

2015 ◽  
Vol 139 ◽  
pp. 161-177 ◽  
Author(s):  
Naoufel Werghi ◽  
Claudio Tortorici ◽  
Stefano Berretti ◽  
Alberto del Bimbo
Keyword(s):  
Local Binary Patterns ◽  
Triangular Meshes

A Generalized Fast Marching Method on Unstructured Triangular Meshes

2013 ◽  
Vol 51 (6) ◽  
pp. 2999-3035 ◽  
Author(s):  
E. Carlini ◽  
M. Falcone ◽  
Ph. Hoch
Keyword(s):  
Fast Marching Method ◽  
Triangular Meshes ◽  
Fast Marching ◽  
Marching Method
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