{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,25]],"date-time":"2026-06-25T12:55:06Z","timestamp":1782392106746,"version":"3.54.5"},"publisher-location":"New York, NY, USA","reference-count":37,"publisher":"ACM","license":[{"start":{"date-parts":[[2009,10,5]],"date-time":"2009-10-05T00:00:00Z","timestamp":1254700800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2009,10,5]]},"DOI":"10.1145\/1629255.1629273","type":"proceedings-article","created":{"date-parts":[[2009,10,8]],"date-time":"2009-10-08T17:31:08Z","timestamp":1255023068000},"page":"135-145","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":8,"title":["Discrete physics using metrized chains"],"prefix":"10.1145","author":[{"given":"A.","family":"DiCarlo","sequence":"first","affiliation":[{"name":"Universit\u00e0 Roma Tre"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"F.","family":"Milicchio","sequence":"additional","affiliation":[{"name":"Universit\u00e0 Roma Tre"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Paoluzzi","sequence":"additional","affiliation":[{"name":"Universit\u00e0 Roma Tre"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"V.","family":"Shapiro","sequence":"additional","affiliation":[{"name":"University of Wisconsin-Madison"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2009,10,5]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492906210018"},{"key":"e_1_3_2_1_2_1","volume-title":"Discrete Differential Geometry","author":"Bobenko A. I.","year":"2008","unstructured":"A. I. Bobenko , P. Schr\u00f6der , J. M. Sullivan , and G. M. Ziegler , editors . Discrete Differential Geometry , volume 38 . Birkh\u00e4user Verlag AG , 2008 . A. I. Bobenko, P. Schr\u00f6der, J. M. Sullivan, and G. M. Ziegler, editors. Discrete Differential Geometry, volume 38. Birkh\u00e4user Verlag AG, 2008."},{"issue":"8","key":"e_1_3_2_1_3_1","first-page":"493","article-title":"a class of finite elements for three-dimensional computations in electromagnetism. Science, Measurement and Technology","volume":"135","author":"Bossavit A.","year":"1988","unstructured":"A. Bossavit . Whitney forms : a class of finite elements for three-dimensional computations in electromagnetism. Science, Measurement and Technology , IEE Proceedings A , 135 ( 8 ): 493 -- 500 , 1988 . A. Bossavit. Whitney forms: a class of finite elements for three-dimensional computations in electromagnetism. Science, Measurement and Technology, IEE Proceedings A, 135(8):493--500, 1988.","journal-title":"IEE Proceedings A"},{"key":"e_1_3_2_1_4_1","volume-title":"Computational electromagnetism","author":"Bossavit A.","year":"1998","unstructured":"A. Bossavit . Computational electromagnetism . Academic Press , 1998 . A. Bossavit. Computational electromagnetism. Academic Press, 1998."},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1108\/03321640110359958"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2008.11.005"},{"key":"e_1_3_2_1_7_1","first-page":"453","volume-title":"Proceeding of the Symposium on Generalized Networks","volume":"16","author":"Branin F. H.","year":"1966","unstructured":"F. H. Branin . The algebraic-topological basis for network analogies and the vector calculus . In Proceeding of the Symposium on Generalized Networks , volume 16 , pages 453 -- 491 . Polytechnic Institute of Brooklyn , 1966 . F. H. Branin. The algebraic-topological basis for network analogies and the vector calculus. In Proceeding of the Symposium on Generalized Networks, volume 16, pages 453--491. Polytechnic Institute of Brooklyn, 1966."},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4754(00)00198-1"},{"key":"e_1_3_2_1_9_1","volume-title":"Applicable differential geometry","author":"Crampin M.","year":"1986","unstructured":"M. Crampin and F. A. E. Pirani . Applicable differential geometry . Cambridge University Press , Cambridge , 1986 . M. Crampin and F. A. E. Pirani. Applicable differential geometry. Cambridge University Press, Cambridge, 1986."},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2007.07.005"},{"key":"e_1_3_2_1_11_1","volume-title":"August","author":"Desbrun M.","year":"2005","unstructured":"M. Desbrun , A. H. Hirani , M. Leok , and J. E. Marsden . Discrete exterior calculus. arXiv:math\/0508341v2 , August 2005 . M. Desbrun, A. H. Hirani, M. Leok, and J. E. Marsden. Discrete exterior calculus. arXiv:math\/0508341v2, August 2005."},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7643-8621-4_16"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/1236246.1236259"},{"key":"e_1_3_2_1_14_1","article-title":"Chain-based representations for solid and physical modeling","volume":"2009","author":"DiCarlo A.","unstructured":"A. DiCarlo , F. Milicchio , A. Paoluzzi , and V. Shapiro . Chain-based representations for solid and physical modeling . IEEE Transactions on Automation Science and Engineering , 2009 (in press). A. DiCarlo, F. Milicchio, A. Paoluzzi, and V. Shapiro. Chain-based representations for solid and physical modeling. IEEE Transactions on Automation Science and Engineering, 2009 (in press).","journal-title":"IEEE Transactions on Automation Science and Engineering"},{"key":"e_1_3_2_1_15_1","volume-title":"Geometric Modeling Using the Euler Operators","author":"Eastman C.","year":"1979","unstructured":"C. Eastman and K. Weiler . Geometric Modeling Using the Euler Operators . Institute of Physical Planning, Carnegie-Mellon University , 1979 . C. Eastman and K. Weiler. Geometric Modeling Using the Euler Operators. Institute of Physical Planning, Carnegie-Mellon University, 1979."},{"key":"e_1_3_2_1_16_1","volume-title":"May","author":"Harrison J.","year":"2005","unstructured":"J. Harrison . Lectures on chainlet geometry---new topological methods in geometric measure theory. arXiv:math-ph\/0505063 , May 2005 . J. Harrison. Lectures on chainlet geometry---new topological methods in geometric measure theory. arXiv:math-ph\/0505063, May 2005."},{"key":"e_1_3_2_1_17_1","volume-title":"Algebraic topology","author":"Hatcher A.","year":"2002","unstructured":"A. Hatcher . Algebraic topology . Cambridge University Press , 2002 . A. Hatcher. Algebraic topology. Cambridge University Press, 2002."},{"key":"e_1_3_2_1_18_1","volume-title":"October","author":"Hirani A. H.","year":"2008","unstructured":"A. H. Hirani , K. B. Nashatrala , and J. H. Chaudhry . Numerical method for darcy flow derived using discrete exterior calculus. arXiv:0810.3434v1 , October 2008 . A. H. Hirani, K. B. Nashatrala, and J. H. Chaudhry. Numerical method for darcy flow derived using discrete exterior calculus. arXiv:0810.3434v1, October 2008."},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(97)00009-6"},{"key":"e_1_3_2_1_20_1","volume-title":"Introduction to Solid Modeling","author":"M\u00e4ntyl\u00e4 M.","year":"1988","unstructured":"M. M\u00e4ntyl\u00e4 . Introduction to Solid Modeling . WH Freeman &Co. New York, NY, USA, 1988 . M. M\u00e4ntyl\u00e4. Introduction to Solid Modeling. WH Freeman&Co. New York, NY, USA, 1988."},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1997.5656"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aei.2007.08.013"},{"key":"e_1_3_2_1_23_1","volume-title":"Reading MA","author":"Munkres J. R.","year":"1984","unstructured":"J. R. Munkres . Elements Of Algebraic Topology. Addison Wesley , Reading MA , 1984 . J. R. Munkres. Elements Of Algebraic Topology. Addison Wesley, Reading MA, 1984."},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.1887\/0750306068"},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01608361"},{"key":"e_1_3_2_1_26_1","first-page":"19","article-title":"General relativity without coordinates","author":"Regge T.","year":"1961","unstructured":"T. Regge . General relativity without coordinates . Nuovo Cimento 19 , 1961 . T. Regge. General relativity without coordinates. Nuovo Cimento 19, 1961.","journal-title":"Nuovo Cimento"},{"key":"e_1_3_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1145\/356827.356833"},{"key":"e_1_3_2_1_28_1","volume-title":"Robidoux's home page","author":"Robidoux N.","year":"2003","unstructured":"N. Robidoux and S. Steinberg . Mimetic discretizations bibliography , in: Robidoux's home page , March 2003 . N. Robidoux and S. Steinberg. Mimetic discretizations bibliography, in: Robidoux's home page, March 2003."},{"key":"e_1_3_2_1_29_1","volume-title":"Combinatorics and Graph Theory with Mathematica","author":"Skiena S.","year":"1990","unstructured":"S. Skiena . Implementing Discrete Mathematics : Combinatorics and Graph Theory with Mathematica . Addison-Wesley , Reading, MA , 1990 . S. Skiena. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Addison-Wesley, Reading, MA, 1990."},{"key":"e_1_3_2_1_30_1","volume-title":"Istituto di Matematica del Politecnico di Milano","author":"Tonti E.","year":"1975","unstructured":"E. Tonti . On the formal structure of physical theories. Quaderno dei gruppi di ricerca matematica del cnr , Istituto di Matematica del Politecnico di Milano , 1975 . E. Tonti. On the formal structure of physical theories. Quaderno dei gruppi di ricerca matematica del cnr, Istituto di Matematica del Politecnico di Milano, 1975."},{"issue":"2","key":"e_1_3_2_1_31_1","first-page":"237","article-title":"A direct discrete formulation of field laws: The cell method. Computer Modeling in Engineering&","volume":"2","author":"Tonti E.","year":"2001","unstructured":"E. Tonti . A direct discrete formulation of field laws: The cell method. Computer Modeling in Engineering& Sciences , 2 ( 2 ): 237 -- 258 , 2001 . E. Tonti. A direct discrete formulation of field laws: The cell method. Computer Modeling in Engineering&Sciences, 2(2):237--258, 2001.","journal-title":"Sciences"},{"key":"e_1_3_2_1_32_1","first-page":"1","article-title":"Finite formulation of the electromagnetic field","volume":"32","author":"Tonti E.","year":"2001","unstructured":"E. Tonti . Finite formulation of the electromagnetic field . Geometric Methods for Computational Electromagnetics , 32 : 1 -- 42 , 2001 . PIER Mon. Ser. E. Tonti. Finite formulation of the electromagnetic field. Geometric Methods for Computational Electromagnetics, 32:1--42, 2001. PIER Mon. Ser.","journal-title":"Geometric Methods for Computational Electromagnetics"},{"key":"e_1_3_2_1_33_1","doi-asserted-by":"publisher","DOI":"10.1515\/9781400877577"},{"key":"e_1_3_2_1_34_1","doi-asserted-by":"publisher","DOI":"10.1088\/0264-9381\/9\/5\/021"},{"key":"e_1_3_2_1_35_1","volume-title":"August","author":"Wilson S. O.","year":"2005","unstructured":"S. O. Wilson . Geometric structures on the cochains of a manifold. arXiv:math\/0505227v2 , August 2005 . S. O. Wilson. Geometric structures on the cochains of a manifold. arXiv:math\/0505227v2, August 2005."},{"key":"e_1_3_2_1_36_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.topol.2007.01.017"},{"key":"e_1_3_2_1_37_1","doi-asserted-by":"publisher","DOI":"10.1063\/1.2830977"}],"event":{"name":"SIAM '09: 2009 SIAM\/ACM Joint Conference on Geometric and Physical Modeling","location":"San Francisco California","acronym":"SIAM '09","sponsor":["SIAM Activity Group on Geometric Design","SIGGRAPH ACM Special Interest Group on Computer Graphics and Interactive Techniques"]},"container-title":["2009 SIAM\/ACM Joint Conference on Geometric and Physical Modeling"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1629255.1629273","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1629255.1629273","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T12:41:26Z","timestamp":1750250486000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1629255.1629273"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10,5]]},"references-count":37,"alternative-id":["10.1145\/1629255.1629273","10.1145\/1629255"],"URL":"https:\/\/doi.org\/10.1145\/1629255.1629273","relation":{},"subject":[],"published":{"date-parts":[[2009,10,5]]},"assertion":[{"value":"2009-10-05","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}