دانلود رایگان مقاله لاتین اپراتور ستاره هاج از سایت الزویر
عنوان فارسی مقاله:
مقایسه گسسته اپراتورهای ستاره هاج برای سطوح
عنوان انگلیسی مقاله:
Comparison of discrete Hodge star operators for surfaces
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
Discrete exterior calculus (DEC) is a paradigm for the numerical solution of partial differential equations (PDEs) on simplicial meshes [1,2]. A main advantage of DEC is the mimetic behavior of its discrete operators where they retain at the discrete level many of the identities/rules of their smooth counterparts. Over the past decade, DEC was used to numerically solve many physical problems including Darcy [3,4] and incompressible flows [5–7]. The mimetic behavior of the DEC discrete operators generally results in superior conservation properties for DEC discretizations. There also exist other numerical methods to discretize vector PDEs on surfaces that are not based on DEC [8–12]. The definition of most DEC operators requires a dual mesh related to the primal simplicial mesh. A common choice for the dual mesh is the circumcentric dual. The mutual orthogonality of the primal simplices and their circumcentric duals results in simple expressions for the discrete Hodge star operators. However, using the circumcentric dual limits DEC to only Delaunay simplicial meshes. In the case of non-Delaunay meshes, DEC implementations using the circumcentric dual along with the diagonal Hodge star definition yield incorrect numerical results [13]. Enabling DEC to handle arbitrary simplicial meshes is advantageous not only due to the extra flexibility in mesh generation but also due to significantly facilitating any subsequent local/adaptive mesh subdivision. This is important considering that successive subdivision of a Delaunay triangulation with obtuse-angled triangles would result in a nonDelaunay mesh.
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کلمات کلیدی:
Comparison of discrete Hodge star operators for ... - ACM Digital Library dl.acm.org/citation.cfm?id=2965458 by MS Mohamed - 2016 - Cited by 2 - Related articles We investigate the performance of various discrete Hodge star operators for discrete exterior calculus (DEC) using circumcentric and barycentric dual meshes. [PDF]Comparison of discrete Hodge star operators for surfaces iranarze.ir/wp-content/uploads/2016/11/E534.pdf We investigate the performance of various discrete Hodge star operators for discrete exterior calculus. (DEC) using circumcentric and barycentric dual meshes. [PDF]Discrete Differential Geometry (600.657) - JHU CS www.cs.jhu.edu/~misha/Fall09/18-dec.pdf [Discrete Differential Forms for Computational Modeling. Desbrun et al., 2005] ..... Note that the Hodge Star operator from k-forms to (n-k)-forms and the operator ... Comparison of discrete Hodge star operators for surfaces - KAUST ... repository.kaust.edu.sa/kaust/handle/10754/609008 by MS Mohamed - 2016 - Cited by 2 - Related articles May 10, 2016 - Comparison of discrete Hodge star operators for surfaces ... While the circumcentric Hodge operators may be favorable due to their diagonal ... [PDF]Discrete Hodge star operators www.crm.umontreal.ca/Group/pdf/Robidoux.pdf Discrete Hodge star operators. Nicolas Robidoux. Department of Mathematics. Simon Fraser University. Burnaby, British Columbia. CANADA V5A 1S6. Abstract. [PDF]Notes on Discrete Exterior Calculus - Arizona Math math.arizona.edu/~agillette/research/decNotes.pdf by A Gillette - 2009 - Cited by 4 - Related articles Aug 27, 2009 - relations in Maxwell's equations, involve a Hodge star operator ... The discrete versions of the operators are written as matrices whose entries. [PDF]DISCRETE HODGE-OPERATORS: AN ALGEBRAIC ... - PIER onlinewww.jpier.org/PIER/pier32/10.00080110.hiptmair.2.pdf by R Hiptmair - Cited by 58 - Related articles of discrete Hodge operators, abstract bounds for the energies of the discretization ... For each space Wl we pick the basis dual to the set of degrees of freedom ...
