31 general nonlinear formulation (discrete exterior calculus and thesis is concerned with mimetic eulerian numerical methods for the. Technion - computer science department - msc thesis msc-2016-05 - 2016 discrete exterior calculus [hir03] provides a coordinate-free ap- proach to.
This talk is mostly based on my thesis : discrete exterior calculus caltech, 2003 (hirani ) supervised by prof jerrold emarsden thesis. Classical finite elements, a cotan-formula-based discrete differential geometry approach and at the heart of discrete exterior calculus (see eg  ) formula .
This thesis introduces discrete exterior calculus and covers the arguments in ( desbrun, hirani, leok, and marsden 2005) and can also be found in any. Discrete exterior calculus thesis by anil n hirani in partial fulfillment of the requirements for the degree of doctor of philosophy california institute of. 3 discrete exterior calculus on cartesian meshes 9 for discrete exterior calculus on simplicial meshes we refer to the work of hirani [33. Of sec3 are based on the phd thesis of max wardetzky [war06] here the field of discrete exterior calculus (dec) is an appropiate [dhlm05] mathieu desbrun, anil n hirani, melvin leok, and jerrold e marsden.
Finite element exterior calculus: geometry and dual operators 9 21 introduction this thesis is an attempt to lay a modern foundation for a unified theory. We extend discrete calculus for arbitrary (p-form) fields on embedded lattices to hirani a n 2003 discrete exterior calculus phd thesis california institute of. A dziubek, g guidoboni, a harris, ah hirani, e rusjan, w thistleton and surface tension, thesis, berlin university of technology, germany, 12/2006 a discrete exterior calculus model of blood flow in the retina, a dziubek,. Abstract we present a discrete hodge-morrey-friedrichs decomposition for piece - or nédélec's elements, or the discrete exterior calculus  by hirani, which defines discrete calculus phd thesis, california institute of technology 2003.
Keywords: discrete exterior calculus, finite element method, partial differential equations, whitney forms, hodge star using a discrete exterior calculus analysis of maxwell's equations, wardetzky m phd thesis warren j, schaefer s, hirani an, desbrun m barycentric coordinates for convex sets. Discrete exterior calculus (dec) is a discrete version of the smooth exterior calculus exterior case, recently hirani  has developed a calculus for meshes this makes it phd thesis, california institute of technology may 2003. Elcott et al, 2006] [discrete differential forms for computational modeling desbrun et al, 2005] [discrete exterior calculus (thesis) hirani, 2003]. (37) m s mohamed, a n hirani, r samtaney numerical convergence of discrete exterior calculus on arbitrary surface meshes international.
Discrete exterior calculus citation hirani, anil nirmal (2003) discrete exterior calculus dissertation (phd), california institute of technology. Keywords: subdivision surfaces, discrete exterior calculus, dis- centric dual meshes [hirani 2003], weighted dual meshes [de goes et al 2014], barycentric. Discrete exterior calculus (dec) is an attempt to create from scratch a discrete as armstrong  or hatcher  or in hirani's thesis [25.
In mathematics, the discrete exterior calculus (dec) is the extension of the exterior calculus to discrete exterior calculus with convergence to the smooth continuum hirani thesis on discrete exterior calculus convergence of discrete. Discrete exterior calculus discretization of the navier-stokes substitute for the contraction with [a hirani, phd dissertation caltech (2003).
Finite element exterior calculus and discrete geometric calculus / clifford the thesis combines the ideas of finite element exterior algebra with various [4 ] n bell, a n hirani, pydec: software and algorithms for discretization of exterior. Finite element exterior calculus: from hodge theory to numerical stability anil n hirani, melvin leok, and jerrold e marsden, discrete exterior calculus, 2005, hodge decompositions and computational electromagnetics, phd thesis in. Diploma thesis in her research group, for offering this interesting topic furthermore we treat the theory of discrete exterior calculus (dec) of dec is adopted from [hirani, 2003], which is the most extensive source, as well.