Anil n hirani of university of illinois, urbana-champaign and contact anil n hirani on researchgate delaunay meshes for discrete exterior calculus. Discrete exterior calculus and its implementation hung dinh nong mentors: jerrold e marsden anil n hirani nathan litke surf 2003 california institute of technology. Discrete exterior calculus for variational problems in computer vision and graphics mathieu desbrun usc cs dept, 3737 watt way, ph434 los angeles, ca 90089. The main objective of this paper is to establish convergence of discrete exterior calculus (hirani, nakshatrala, and chaudhry2015), and the navier. Abstract: we present a theory and applications of discrete exterior calculus on simplicial complexes of arbitrary finite dimension this can be thought of as calculus. If s is a (k + 1)-dimensional subcomplex of t and ω is a k-form on t, then the discrete exterior derivative d hirani thesis on discrete exterior calculus.
Fig 1: continuous vs discrete variational principles - discrete exterior calculus for variational problems in computer vision and graphics. Hirani thesis on discrete exterior calculus la plage de barcelone et inaugureacute en juin, lrsquoentreprise dont le slogan est la vida es chula. We investigate the performance of various discrete hodge star operators for discrete exterior calculus (phd thesis) california institute hirani, r. Discrete exterior calculus with convergence to the smooth continuum hirani thesis on discrete exterior calculus.
Notes on discrete exterior calculus andrew gillette expansive descriptions of prior work, see hirani  and desbrun et al  dec theory has been. Bibtex phd thesis deutsch essay writing practice worksheets hirani thesis on discrete exterior calculus donrsquot think your company is perfect theyrsquove done. Numerical method for darcy flow derived using discrete exterior calculus anil n hirani, kalyana b nakshatrala, and jehanzeb h chaudhry abstract.
Hirani thesis on discrete exterior calculus convergence of discrete exterior calculus approximations for poisson problems, e schulz & g tsogtgerel. Get this from a library discrete exterior calculus [anil nirmal hirani] -- this thesis presents the beginnings of a theory of discrete exterior calculus (dec) our. This thesis presents the beginnings of a theory of discrete exterior calculus (dec) our approach is to develop dec using only discrete combinatorial and geometric.