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Algebraic Formulation of Physical Fields

(PDE free formulation)

The laws of physical fields are commonly expressed by differential equations.
Today it is possible to express them directly by algebraic equations,
starting from experimental laws,
thus bypassing the differential formulation.

The algebraic formulation of physical laws puts in evidence some features that are hidden in the differential formulation and gives rise to algebraic equations that can be used for computational physics: the numerical method obtained has been called “Cell Method.”

On these premises it is possible to start a research program:

A mathematical formulation of physical fields in algebraic form.

This web site aims to collect papers and information dealing with this research field.


Papers

These files are intended for rapid dissemination of information and for PERSONAL USE ONLY. 

COPYRIGHTS OF THESE PAPERS REST WITH THE PUBLISHERS

2015

R.M.G. Ferrari, F. Boem and T. Parisini,  An Algebraic Approach to Modeling Distributed Multiphysics Problem: The Case of a DRI Reactor2015 IFAC Workshop on Mining, Mineral and Metal Processing, Oulu, Finland, 25-27 August 2015.

2014

Ferretti E.,   The Cell Method: A Purely Algebraic Computational Method in Physics and Engineering, Momentum Press, (2014) 

2013

R.M.G. Ferrari, T. Parisini and M.M. Polycarpou, An Algebraic Approach for Robust Fault Detection of Input-Output Elastodynamic Distributed Parameter Systems2013 European Control Conference, Zurich, July 17-19, 2013.

Tonti E.   Why Starting from Differential Equations for Computational Physics?  Journal of Computational Physics, 257 (2014) 1260-1290.

Alotto P., Freschi F., Repetto M., Rosso C.   The Cell Method for Electrical Engineering and Multiphysics Problems  Lecture Notes in Electrical Engineering, vol.230 (2013).

Cosmi, F., Mazzoleni G.   Evaluation of the structural quality of bone in a case of progressive osteoporosis complicating a Complex Regional PainSyndrome (CRPS) of the upper limb, Journal of the mechanical behavior of biomedical materials, (2013)

2012

Moro F., Alotto P., Freschi F., Guarnieri M.   A Cell Method Formulation of 3-D Electrothermomechanical Contact Problems With Mortar Discretization,   IEEE Transactions on Magnetics, Vol.48, Issue 2, (2012) pp. 503-506.

2011

Cosmi F.,   A micro-mechanical model of the elastic properties of a short fibre reinforced polyamid,   Procedia engineering, p. 2135-2140, ISSN: 1877-7058.

Cosmi F.,   A Cell Method model for sintered alloys   CMES Computer Modeling in Engineering & Sciences, Tech Science Press, Irvine, CA, USA,¬† ISSN 1526-1492 (printed), 1526-1506 (online),¬† Vol.74, No.3&4, 2011, 269-282.

Cosmi F.,   Local anisotropy and elastic properties in a short glass fibre reinforced polymer composite   Strain, Blackwell Publishing, Print ISSN: 0039-2103 , Vol. 47, 2011, 215‚Äì221.

2010

Alotto P., Freschi F., Repetto M.,   Multiphysics problems via the cell method: The role of Tonti digrams,   IEEE Transactions on Magnetics, vol.46, issue 8, (2010) pp.2959-2962.

Cosmi F., Bernasconi A.,   Elasticity of short fibre reinforced polyamide: morphological and numerical analysis of fibre orientation effects,   Materials Engineering, Zilina, SK, ISSN: 1335-0803, Vol. XVII, No. 2, 2010, 6-10.

Cosmi F., Bernasconi A.,   Application of synchrotron radiation micro-CT to local morphological and numerical characterization of short fibre reinforced polymer composites,   Materials Engineering, PURE MATHEMATICS AND APPLICATIONS, vol. 20; p. 169-172, ISSN: 1218-4586.

Cosmi F., Hoglievina M.   An application of the Cell Method to multiaxial fatigue assessment of a test component under different criteria,   Strain, Official Journal of the European Association for Experimental Mechanics, Blackwell Publishing, Online ISSN: 1475-1305 2008, Published Online: Nov 18 2008, DOI: 10.1111/j.1475-1305.2008.00555.x, Volume 46, Issue 2, April 2010, Pages: 148‚Äì158.

Tonti E., Zarantonello F.,   Algebraic Formulation of Elastodynamics: the Cell Method,   Computer Modeling in Engineering & Science (CMES), (2010) Volume 64, Number 1, pp. 37-70.

2009

Tonti E., Zarantonello F.,   Algebraic Formulation of Elastostatics: the Cell Method,   Computer Modeling in Engineering & Science (CMES), (2009) Volume 39, Number 3, pp. 201-236.

Cosmi F. ,   Morphology-based prediction of elastic properties of trabecular bone samples‚Äù, Acta of Bioengineering and Biomechanics,   Wroclaw University of Technology, Wroclaw, PL, ISSN (printed): 1509-409X, Vol. 11, No. 1, 2009, 3-9.

2008

Taddei F., Pani M., Zovatto L., Tonti E., Viceconti M.,   A new meshless approach for subject-specific strain prediction in long bones: Evaluation of accuracy.,   Clinical Biomechanics (2008) vol. 23, pp.1192-1199.

Alotto P., Gruosso G., Moro F., Repetto M.,   Three-dimensional eddy current analysis in unbounded domains by a DEM-BEM formulation,   COMPEL, vol. 27, pp. 460 – 466, 2008.

Alotto P., Bullo M., Guarnieri M., Moro F.,   A coupled thermo-electromagnetic formulation based on the Cell Method,   IEEE Trans. Magnetics, vol. 44, pp.702-705, June 2008.

Alotto P., Gruosso G., Moro F., Repetto M.,   A Boundary Integral Formulation for eddy current problems based on the Cell Method,   IEEE Trans. Magnetics, vol. 44, pp.770-773, June 2008.

Ferretti E., Casadio E., Di Leo A.,   Masonry Walls under Shear Test: a CM Modeling,   Computer Modeling in Engineering & Science (CMES), (2008) vol. 30, n. 3, pp.163-190.

Cosmi F., Steimberg N., Dreossi D., Mazzoleni G.,   Structural analysis of rat bone explants kept in vitro in simulated microgravity conditions, (2008) Journal of the Mechanical Behavior of Biomedical Materials, Elsevier Ltd., The Netherlands, DOI 10.1016/j.jmbbm.

Cosmi F.,   Dynamical Analysis of Mechanical Components: A Discrete Model for Damping, (2008) Computer Modeling in Engineering & Sciences (CMES),, vol. 27, n. 3, pp.187-195.

Cosmi F., Hoglievina M.,   An Application of the Cell Method to Multiaxial Fatigue Assessment of a Test Component under Different Criteria, Strain, Blackwell Publishing, 2008, DOI: 10.1111/j.1475-1305.2008.00555.x

2007

Zovatto L., Nicolini M.,   Improving the Convergence Order of the Meshless Approach for the Cell Method for Numerical Integration of Discrete Conservation Laws,   International Journal for Computational Methods in Engineering Science and Mechanics, (2007) Volume 8, Number 5, pp. 273-281.

Heshmatzadeh M., Bridges G.E.,   A Geometrical Comparison between Cell Method and Finite Element Method in Electrostatics,   CMES, vol. 18, no. 1, pp.45-58, 2007.

Alotto P., Guarnieri M., Moro. F.,   A Boundary Integral Formulation on Unstructured Dual Grids for Eddy Current Analysis in Thin Shields,   IEEE Trans. Magn. vol.43, pp. 1173-1177, April 2007.

Alotto P., De Cian A., Molinari G., Rossi M.,   Implementation of Surface Impedance Boundary Conditions in the Cell Method via the Vector Fitting Technique,   COMPEL, 26(3):xxx-xxx, 2007.

Bullo M., D’Ambrosio V., Dughiero F., Guarnieri M.,   A 3D Cell Method Formulation for Coupled Electric and Thermal Problems,   IEEE Transactions on Magnetics, Vol. 43 No. 4, IEEE Inc., New York (NY USA), aprile 2007, pp. 1197-1200.

Cardelli E., Faba A., Specogna R., Trevisan F.,   Image Reconstruction of Defects in Metallic Plates Using a Multi-Frequency Detector System and a Discrete Geometric Approach,   in press on IEEE Transaction on Magnetics, 2007.

Cosmi F., Dreossi D.,   The Application of the Cell Method for the Clinical Assessment of Bone Fracture Risk,   Acta of Bioengineering and Biomechanics, Wroclaw University of Technology, Wroclaw, Polonia, vol. 9, n. 2, pp.35-39.

Codecasa L., Trevisan F.,   Constitutive Equations for Discrete Electromagnetic Problems Over Polyhedral Grids,   Journal of Computational Physics, Volume 225, Issue 2, 10 August 2007, Pages 1894-1918.

Codecasa L., Specogna R., Trevisan F.,   Symmetric Positive-Definite Constitutive Matrices for Discrete Eddy-Current Problems,   IEEE Trans. Magn., vol. 43, no. 2, 2007, pp. 510-515.

Cosmi F., Dreossi D.,   Numerical and experimental structural analysis of trabecular architectures,   Meccanica, Springer, Dordrecht, Netherlands, vol. 42, n. 1, pp.85-93.

2006

Ferretti E., Casadio E., Ricci P., Di Leo A.,   A CM Modeling of the Shear Test on Mansory,   WCCM VII, Los Angeles (California), 15-22 July.

Straface S., Troisi S., Gagliardi V.,   Application of the Cell Method to the Simulation of Unsaturated Flow,   Computers, Materials and Continua, vol.3, num.3, pp. 255-166, (2006).

Zovatto L., Nicolini, M.,   Extension of the Meshless Approach for the Cell Method to Three-Dimensional Numerical Integration of Discrete Conservation Laws,   International Journal for Computational Methods in Engineering Science and Mechanics, (2006) Volume 7, Number 2, pp. 69-79.

Alotto P., De Cian A., Molinari G.,   A Time-domain 3-D full-Maxwell solver based on the Cell Method,   IEEE Trans. Magn. 42(4): 799-802, 2006.

Alotto R.P., Codecasa L., Freschi F., Gruossso G., Moro F., Repetto M.,   Finite formulation for quasi-magnetostatics with integral boundary conditions,   In: 12th International IGTE Symposium Proceedings, IGTE 2006, Graz, Austria, September 18-20, 2006, Vol. 1, ISBN: 9783902465078.

Alotto R.P., Specogna R., Trevisan F.,   A \theta-Method for Eddy Currents in Time-Domain with a Discrete Geometric Approach,   IEEE Transactions on Magnetics, Vol. 42, No. 4, 2006, pp. 779-782.

Bettini R.P., Boscolo S., Specogna R., Trevisan F.,   A Geometric Approach for Wave Propagation in 2-D Photonic Crystals in The Frequency Domain,   IEEE Transactions on Magnetics, Vol. 42, No. 4, 2006, pp. 827-830.

Botto D., Freschi F., Repetto M.,   Force computation by hybrid magnetostatic formulation   In: 12th International IGTE Symposium Proceedings, IGTE 2006, Graz, Austria, September 18-20, ISBN: 9783902465078.

Bullo M., Dughiero F., Guarnieri M., Tittonel E.,   Non Linear Coupled Thermo-Electromagnetic Problems with the Cell Method,   IEEE Transactions on Magnetics, Vol. 42 No. 4, aprile 2006, pp. 991-994.

Bullo M., Dughiero F., Guarnieri M.,   The Prediction of Temperature Distribution in RF-Ablation Therapy by Means of the Cell Method,   Proceedings of the International Conference on Electromagnetic Fields, Health and Environment – EHE06, 27-29 April 2006, pp. 2. 159-2. 164.

Bullo M., D’Ambrosio V., Dughiero F., Guarnieri M.,   Coupled Electrical and Thermal Transient Conduction Problems with a Quadratic Interpolation Cell Method Approach,   IEEE Transactions on Magnetics, Vol. 42 No. 4, aprile 2006, pp. 1003-1006.

Canova A., Freschi F., Gruosso G., Repetto M.,   Characterization of an industrial U-Shaped electromagnet,   Proc. of 7th International Symposium on Electric and Magnetic Fields (EMF 2006), Aussois (France), June 19-22, 200.

Canova A., Freschi F., Gruosso G., Repetto M.,   Identification of magnetic circuit parameters for power electronic transformers,   Proceedings OIPE 2006, Sorrento Sept. 13-15, 2006, ISBN 88 7146 733-737.

Canova A., Freschi F., Gruosso G., Repetto M.,   Coupling of Finite Formulation with integral techniques,   Proc. of 7th International Symposium on Electric and Magnetic Fields (EMF 2006), Aussois (France), June 19-22, 200.

Codecasa L., Trevisan F.,   Piecewise uniform bases and energetic approach for discrete constitutive matrices in electromagnetic problems,   Int. Jou. for Numerical Methods in Engineering, Issue 4, Vol. 65, Issue 4, pp. 548-565, 2006.

Dular P., Specogna R., Trevisan F.,   Coupling Between Circuits and A-\chi Discrete Geometric Approach,   IEEE Transactions on Magnetics, Vol. 42, No. 4, 2006, pp. 1043-1046.

Giuffrida C., Gruosso G., Repetto M.,   Finite Formulation of Nonlinear Magnetostatics With Integral Boundary Conditions,   IEEE Trans. on Magnetics, Vol. 42, No. 5, May 2006 Page(s):1503 – 1511.

Giuffrida C., Ragusa C., Repetto M.,   3D Micromagnetic solution by finite formulation Physica B: Condensed Matter,   v 372, n 1-2, Feb 1, 2006, p 299-302.

Guarnieri M., Moro F.,   Modelling of Thin Conductive Screens for ELF Magnetic Field Attenuation by Finite Element and Integral Methods,   Proceedings of the International Conference on Electromagnetic Fields, Health and Environment – EHE06, 27-29 April 2006, pp. 1. 99-1. 04.

Maffucci A., Freschi F., Gruosso G., Repetto M., Villone F., Zamboni W.,   Investigation of low-frequency behaviour of two surface integral full-Maxwell algorithms   In: 12th International IGTE Symposium Proceedings, IGTE 2006, Graz, Austria, September 18-20, 2006, Vol. 1, ISBN: 9783902465078.

Specogna R., Trevisan F.,   Voltage sources in A-\chi discrete geometric approach to eddy-currents,   European Physics Journal, Vol. 33, 2006, pp. 97-101.

Trevisan F., Kettunen L.,   Geometric interpretation of finite dimensional eddy current formulations,   Int. Jou. for Numerical Methods in Engineering, Vol. 67, Iss. 13, 2006, pp. 1888-1908.

2005

R.M.G. Ferrari, On the acoustoelastic effect in pre-stressed metal sheets: theory, experimental results and simulation via the Cell MethodItalian Acoustics Journal, Vol. 29, N. 1-2, January-June 2005.

Ferretti E.,   On Nonlocality and Locality: Differential and Discrete Formulations,   2005, ICF XI, 11th International Conference on Fracture, Torino (Italy), 20-25 March.

Bullo M., Dughiero F., Guarnieri M., Tittonel E.,   A 2-D Formulation for Eddy Currents Anisotropic Problems with the Cell Method,   IEEE Transactions on Magnetics, Vol. 41 No. 5, maggio 2005, pp. 1368-1371.

Canova A., Gruosso G., Repetto M.,   An Integral Approach based on Dual Discretization and Method of Moment for the solution of static electric field,   COMPEL, 24(2): 446-457, 2005.

Cardelli E., Faba A., Specogna R., Tamburrino A., Trevisan F., Ventre S.,   Analysis Methodologies and Experimental Benchmarks for Eddy Current Testing,   IEEE Transactions on Magnetics, Vol. 41, No. 5, 2005, pp. 1380-1383.

Cosmi F., Dreossi D.,   Analysis of complex microstructures with the Cell Method,   First International Conference on Mechanics of Biomaterials & Tissues, Waikoloa Beach Marriott Resort, Hawai, USA,11-15.12.2005.

Ferretti E.,   A Local Strictly Nondecreasing Material Law for Modeling Softening and Size-Effect: a Discrete Approach,   Computer Modeling in Engineering & Science, (CMES), vol. 9, n. 1, pp.19-48.

Freschi F., Gruosso G., Repetto M.,   se of Finite Formulation of Electromagnetic Field for solving PEEC problems on unstructured grids,   Presented at ICEAA05, Torino, Settembre 2005.

Guarnieri M., Moro F., Turri R.,   An Integral Method for ELF Magnetic Shielding,   IEEE Transactions on Magnetics, Vol. 41 No. 5, maggio 2005, pp. 1376-1379

Specogna R., Trevisan F.,   Discrete constitutive equations in $A-\chi$ geometric eddy-currents formulation,   IEEE Transactions on Magnetics, Vol. 41, No. 4, April 2005, pp. 1259-1263.

2004

Ferretti E.,   A Cell Method (CM) Code for Modeling the Pullout Test Step-Wise,   CMES, vol. 6, pp. 453 – 476, 2004.

Ferretti E.,   Crack-Path Analysis for Brittle and Non-Brittle Cracks: A Cell Method Approach,   CMES, v.6, no. 3., pp. 227-244, 2004.

Alotto P., Perugia I.,   Matrix properties of a vector potential cell method for magnetostatics,   IEEE Trans. Magn. 40(2): 1045-1048, 2004.

Bottauscio O., Manzin A., Canova A., Chiampi M., Gruosso G., Repetto M.,   Field and circuit approaches for diffusion phenomena in magnetic cores,   IEEE Trans. On Magnetics, Vol. 40, March 2004, pp. 1322-1325.

Bullo M., Dughiero F., Guarnieri M., Tittonel E.,   Isotropic and anisotropic electrostatic field computation by means of the Cell Method,   IEEE Transactions on Magnetics, Vol. 40 No. 2, marzo 2004, pp. 1013-1016.

Canova A., Giuffrida G., Gruosso G., Repetto M., Vusini B.,   Hybrid formulation for nonlinear magneto-statics,   11th International IGTE Symposium Proceedings ISBN-Nr. 3-902465-07-7 (CD form),Graz, Austria, September 13-15, 2004.

Canova A., Gruosso G., Repetto M.,   An integral Approach based on Dual Discretization and Method of Moment for the solution of static electric field,   presented at IGTE 2004 (pdf,352 kB).

Canova A., Gruosso G., Repetto M.,   Optimal Shielding of Low Frequency Field,   COMPEL, Vol. 23 No 1, 2004, pp. 173-186 (pdf, 1. 1 MB).

Cardelli E., Formisano A., Martone R., Tamburrino A., Trevisan F.,   New Perspectives in Non-Destructive Electromagnetic Diagnostic,   ICSNewsletters, Vol. 11, No. 3, ISSN 1026-0854, 2004, pp. 7-21.

Codecasa L., Minerva V., Politi M.,   Use of barycentric dual grids for the solution of frequency domain problems by FIT,   IEEE Transactions on Magnetics, Volume 40, Issue 2, Part 2, March 2004, pp. 1414 – 1419.

Cosmi F.,   Two-dimension estimate of effective properties of solid with random voids,   Theoretical and Applied Fracture Mechanics, Elsevier Science, 2005, vol. 42, n. 2, pp.183-186.

Cosmi F.,   Elastodynamics wih the Cell Method,   Computer Modeling in Engineering & Sciences, (CMES), Vol.8, No.3, 2005, 191-200.

Cosmi F.,   Numerical simulations with the Cell Method,   Proc. of 2nd FSW Modelling and Flow Visualization Seminar, Geesthacht, DE, 31/1-01/2 2005.

Giuffrida C., Ragusa C., Repetto M.,   Micromagnetic computations in thin films,   11th International IGTE Symposium Proceedings ISBN-Nr. 3-902465-07-7 (CD form),Graz, Austria, September 13-15, 2004.

Marrone M.,   A New Consistent Way to build Symmetric Constitutive Matrices within the Cell Method on arbitrary 2D Grids,   IEEE Transactions on Magnetics, Vol. 40, No. 2, pp. 1420-1423, March 2004.

Marrone M., Mittra R.,   A New Stable Hybrid Three-Dimensional Finite Difference Time Domain (FDTD) Algorithm for Analyzing Complex Structures,   IEEE AP-S International Symposium on Antennas and Propagation, Monterey, CA, USA, June 2004.

Marrone M., Mittra R.,  Comparison Between Two Stable Hybridized 2D Generalized FDTD Algorithms for Multiscale Analysis,   to appear on Microwave and Optical Technology Letters.

Marrone M., Grassi P., Mittra R.,   A New Technique Based on the Cell Method for Calculating the Propagation Constant of Inhomogeneous Filled Waveguides,   IEEE AP-S International Symposium on Antennas and Propagation, Monterey, CA, USA, June 2004.

Marrone M.,   A New Consistent Technique for the Construction of Symmetric Constitutive Matrices for Generalized Time Domain Algorithms,   IEEE AP-S International Symposium on Antennas and Propagation, Monterey, CA, USA, June 2004.

Marrone M.,   Properties of Constitutive Matrices for Electrostatic and Magnetostatic Problems,   IEEE Transactions on Magnetics, Vol. 40, No. 3, pp. 1516-1520, May 2004.

Marrone M.,   A New Consistent Way to build Symmetric Constitutive Matrices within the Cell Method on arbitrary 2D Grids,   IEEE Transactions on Magnetics, Vol. 40, No. 2, pp. 1420 – 1423, March 2004.

Marrone M., Mittra R.,   A Theoretical Study of the Stability Criteria for Hybridized FDTD Algorithms for Multiscale Analysis,   IEEE Transactions on Antennas and Propagation, Vol.52, No. 8, pp. 2158-2167, August 2004.

Repetto M., Trevisan F.,  Global Formulation for 3D Magnetostatics Using Flux and Gauged Potentials,   Int. Jour. Num. Meth. Engin., Vol. 60, 2004, pp. 755-772.

Trevisan F., Kettunen L.,   Geometric Interpretation of Discrete Approaches to Solving Magnetostatics,   IEEE Transactions on Magnetics, Vol. 40, No. 2, 2004, pp. 361-365.

Trevisan F.,   3D Eddy Currents Analysis with the Cell Method for NDE Problems,   IEEE Transactions on Magnetics, Vol. 40, No. 2, 2004, pp. 1314-1317.

2003

Bettini P., Trevisan F.,  Electrostatic Analysis for Plane Problems with Finite Formulation,   IEEE Transactions on Magnetics, Vol. 39, No. 3, 2003, pp. 1127-1130.

Canova A., Gruosso G., Repetto M.,   Field and circuit solutions using global variables and exploiting duality,   Int. Compumag Society Newsletter, Vol. 10, No. 1, March 2003, pp. 9-15.

Cosmi F.,   Numerical Modeling of Porous Materials Mechnical Behaviour with the Cell Method,   Proc. of Second MIT Conference on Computational fluid and Solid Mechanics, Massachusetts Institute of Technology, Cambridge, MA, U.S.A, 17-20.06.2003.

Ferretti E.,  Propagation Modeling by Remeshing using the Cell Method (CM),   CMES, Vol. 4, No. 1, pp. 51-72, 2003.

Ferretti E.,   Modeling of the Pullout Test Through the Cell Method,   XVI Congresso AIMETA di Meccanica Teorica e Applicata (Ferrara, 9-11 Settebre 2003) pp. 1-10, Atti su CD-ROM, Ferrara, 2003.

Lager I.E., Tonti E., de Hoop A.T., Mur G., Marrone M.,   Finite formulation and domain-integrated field relations in electromagnetics – a synthesis,   IEEE Transactions on Magnetics, Vol. 39, No. 3, pp. 1199 – 1202, May 2003.

Marrone M.,   A Novel Technique to Build Constitutive Matrices for Generalized FDTD Algorithms,   IEEE AP-S International Symposium on Antennas and Propagation, Columbus, Ohio, USA, 22-27 June 2003.

Marrone M., Mittra R., Yu W.,   A Novel Approach to Deriving a Stable Hybridized FDTD Algorithm Using the Cell Method,   IEEE AP-S International Symposium on Antennas and Propagation, Columbus, OH, USA, 22-27 June 2003.

Mittra R., Marrone M., Yu W.,   A Look at the Cause of Instability Problems in FDTD Hybridization Schemes-and a Proposed Remedy,   IEEE AP-S International Symposium on Antennas and Propagation, Columbus, OH, USA, 22-27 June 2003.

Repetto M., Trevisan F.,  3D Magnetostatic with the Finite Formulation,   IEEE Transactions on Magnetics, Vol. 39, No. 3, 2003, pp. 1135-1138.

Zovatto L., Nicolini M.,   The Meshless Approach for the Cell Method: a New Way for the Numerical Solution of the Discrete Conservation Laws,   Int. Journal of Computational Engineering Science, Vol. 4, No. 4 (2003) 869-880 (pdf, 248 KB).

2002

Bellina F., Bettini P., Tonti E., Trevisan F.,   Finite Formulation for the Solution of a 2D Eddy-Current Problem,   IEEE Transactions on Magnetics, Vol. 38, No. 2, 2002, pp. 561-564.

Canova A., Gruosso G.B., Repetto M.,   Quasi-static integral formulation using duality and network equations,   Proceedings of CEM2002, Bournemouth (UK), 8-12 April, 2002.

Canova A., Gruosso G.B., Repetto M.,   3D Electrostatic Field Solution with Dual Mesh,   Facta Universitatis (Nis Yugoslavia), Ser: Elec. Energ. Vol 15, No. 2, Aug. 2002, pp. 151-163.

Canova A., Gruosso G., Repetto M., Tartaglia M.,   Integral Methods for the Design of ELF Magnetic Shielding,   Int. Symposium on Electromagnetic Compatibility, Sorrento (Italy), 9-13 Sept. 2002, vol. 1,pp. 341-345.

Canova A., Gruosso G., Repetto M.,   Integral Magnetostatic Solution with Dual Meshes,   Proceedings di Tenth Biennial IEEE Conference on Electromagnetic Field Computation – Perugia, Italy, June 16-19 2002.

Cosmi F.,   pplication of the Cell Method in Elasticity Problems,   CCM V, Vienna, Austria, July 7-12, 2002, Editors: Mang,   H.A., Rammerstorfer,   F.G., Eberhardsteiner,   J., Publisher: Vienna University of Technology, Austria, ISBN  3-9501554-0-6.

Cosmi F.,   Method Simulation of Sintered Alloys Mechanical Behaviour,   TC15-Imeko Youth Symposium on Experimental Solid Mechanics, Bertinoro (Forli’), Italy, 06-09 Mars 2002.

Cosmi F.,   Cell Method Modelling of Sintered Alloys in Elasto-Plastic Field,   Proc. of 19th Danubia Adria Symposium on Experimental Methods in Solid Mechanics, Polanica Zdroi, Poland, 25-28.09.2002.

Cosmi F.,   Sintered Alloys Mechanical Properties Simulation with Cell Method,   6th Intl. Conf. AMST 2002, Udine, Italy, 20-21.06.2002.

Ferretti E., Di Leo A., Viola E.,   Computational Aspects and Numerical Simulations in the Elastic Constants Identification,   Proceedings on Problems of Structural Identification and Diagnostics: General Aspects and Applications, (Workshop), Bologna (Italy), 15-16 July 2002, in press (15 pp.) (pdf, 804 kB).

Ferretti E., Viola E., Di Leo A.,   Limiting Load in Linearly Elastic Bodies with Cracks: a Cell Method (CM)_Based Calculation,   ASEM 2002, Pusan (Korea), 21-23 August 2002, full text on CD (8 pp.) (pdf, 400 kB).

Ferretti E., Viola E., Di Leo A.,   Crack Trajectory in Linearly Elastic Bodies using the Cell Method (CM),   WCCM V, Vienna (Austria), 7-12 July, 2002, full text on the Congress web page (10 pp.) (pdf, 504 kB).

Marrone M., Rodriguez-Esquerre V.F., Hernandez-Figueroa H.E.,   Novel numerical method for the analysis of 2D photonic crystals: the cell method,   Optics Express, Vol. 10, No. 22, pp 1299 – 1304 – November 4, 2002, Published by OSA.

Marrone M., Frasson A.M.F., Hernandez-Figueroa H.E.,   A Novel Numerical Approach for Electromagnetic Scattering: The Cell Method,   Proceedings of the 2002 IEEE AP-S and URSI, San Antonio, Texas, USA, pp. 160-163, Vol. 1, June 16-21, 2002.

Marrone M.,   The Equivalence Between Cell Method, FDTD and FEM,   Record of the 4th IEE CEM Conference, Bournemouth, UK, 8-11 April, 2002.

Tonti E.,   Finite Formulation of the Electromagnetic Field,   IEEE Transactions on Magnetics, v.38, n.2, March (2002), pp.333-336.

Zovatto L., Petti M., Bosa S.,  Il metodo delle celle nella meccanica dei fluidi: Un’applicazione all’equazione delle acque basse. (Abstract),,   Congresso Aimeta sezione GIMC, Giulianuova, Giugno 2002 (pdf, 9 KB).

2001

Canova A., Gruosso G.B., Repetto M.,   3D electrostatic field solution with dual me,   Proceedings of 5th Int. Conference on Applied Electromagnetics, pp. 3-8, Nis, Yugoslavia, 8-10 October, 2001.

Cosmi F.,   Numerical Solution of Plane Elasticity Problems with the Cell Method,   Computer Methods in Engineering & Sciences, CMES, Vol.2, No.3, 2001.

Cosmi F., Di Marino F.,   Modelling of the Mechanical Behaviour of Porous Materials: A New Approach,   Acta of Bioengineering and Biomechanics, Vol.3, No.2, 2001.

Cosmi F.,   Material Response with the Cell Method,   Proc. of ICF 10, Honolulu, USA, 02-06.12.2001.

Cosmi F., Dreossi D., Vittur F.,   Bone Mechanical Properties Estimation with the Cell Method,   18th Danubia Adria Symposium on Experimental Methods in Solid Mechanics, Steyr, Austria, 26-29.09.2001.

Ferretti E., Viola E., Di Leo A.,   Rigenerazione Automatica della Mesh per la Modellazione della Propagazione del Crack nell¹,ambito del Metodo delle Celle,   AIMETA 2001, Taormina (Italy), 26-29 September 2001, full text on CD (11 pp.) (in Italian) (pdf, 144 kB).

Ferretti E.,   A Cell Method Code for Fracture Mechanics,   Science and Supercomputing at CINECA, 2001 Report, December 2000, pp. 401-404.

Marrone M.,   Convergence and Stability of the Cell Method with Non Symmetric Constitutive Matrices,   Record of the 13th COMPUMAG Conference, Evian, France, 2-5 July, 2001.

Marrone M.,   Computational Aspects of Cell Method in Electrodynamics,   PIER monograph series, vol. 32, pp. 317-356, 2001.

Nappi A., Tin-Loi F.,   A numerical model for masonry implemented in the framework of a discrete formulation,,   Structural Engineering and Mechanics, 11, 2, (2001). 171-184.

Tonti E.,   A Direct Discrete Formulation of Field Laws: The Cell Method,   Computer Modeling in Engineering &, Sciences, (CMES), vol.2, no.2, (2001), pp. 237-258. (pdf, 604 kb).

Tonti E.,   A Direct Discrete Formulation for the Wave Equation,   Journal of Computational Acoustics, Vol.9, No.4 (2001) pp.1355-1382. (pdf, 1.5 MB).

Tonti E.,   Finite Formulation of the Electromagnetic Field,   Progress in Electromagnetics Research, PIER 32 (Special Volume on   Geometrical Methods for Comp. Electromagnetics, pp.1-44, (2001) (pdf, 1.3 MB).

Tonti E.,   On the Geometrical Structure of the Electromagnetism,   Gravitation, Electromagnetism and Geometrical Structures, for the 80th birthday of A. Lichnerowicz, Edited by G. Ferrarese, (1995) Pitagora Editrice Bologna, pp.281-308. (pdf, 560 KB).

Zovatto L.,  Nuovi orizzonti per il metodo delle Celle: proposta per un approccio meshless,   Congresso Aimeta sezione GIMC, Taormina, settembre 2001 (pdf, 429 KB).

2000

Cosmi F.,   Applicazione del metodo delle celle con approssimazione quadratica,   Atti del XXIX Convegno Nazionale AIAS 2000, Lucca, Italy, 6-9 September 2000, pp. 131-140.

Cosmi F.,   Studio di lastre forate mediante il Metodo delle Celle,   Atti del XIII Convegno italiano di Meccanica Computazionale, Brescia, Italy, 13-15 November 2000.

Cosmi F., Di Marino F.,   A New Approach to Sintered Alloys Mechanical Behaviour Modelling,   Proc. of 17th Danubia Adria Symposium on Experimental Methods in Solid Mechanics, Praga, Repubblica Ceca, 11-14 October 2000.

Ferretti E., Viola E., Di Leo A.,   Impiego del Metodo delle Celle nella Stima dei Fattori di Intensificazione degli Sforzi,   AIAS 2000, Lucca (Italy), 6-9 September 2000, pp. 699-708 (in Italian).

Ferretti E., Viola E., Di Leo A.,   Sul Calcolo dei Fattori di Intensificazione degli Sforzi mediante il Metodo delle Celle,   IGF 2000, Bari (Italy), 3-5 May 2000, pp. 27-34 (in Italian).

Nappi A., Rajgelj S., Zaccaria D., A discrete formulation applied to crack growth problems,   in: Mesomechanics 2000 (edited by G.G. Sih), Tsinghua University Press, Beijing, P.R. China, 395-406, (pdf, 302 KB).

1999

Ferretti E., Viola E., Di Leo A., Pascale G.,   Propagazione della Frattura e Comportamento Macroscopico in Compressione del Calcestruzzo,   AIMETA ’99, Como, 6-9 October 1999, full text on CD (10 pp.) (in Italian).

Ferretti E., Viola E., Di Leo A.,   Modellazione del Comportamento Macroscopico in Compressione del Calcestruzzo a Partire da Nuove Assunzioni Costitutive,   AIAS ’99, Vicenza (Italy), 8-11 September 1999, pp. 767-776 (in Italian).

1998

Tonti E.,   Algebraic Topology and Computational Electromagnetism,   Fourth International Workshop on the Electric and Magnetic Fields: from Numerical Models to Industrial Applications, Marseille, 1998, pp. 284-294.

RELATED PAPERS

J.C. Maxwell, Remarks on the Mathematical Classification of Physical Quantities, Proceedings of the London Mathematical Society, v. III, n.34, pp.224-232, (1871)(762 Kb).

F.H. Branin Jr., The Algebraic-Topological Basis for Network Analogies and the Vector Calculus, presented on the Symposium on Generalized Networks, Polytechnic Institute of Brooklin, April 12-14, (1966)(2.8 Mb).

H. Lebesgue, Lecons sur l’integration, Chelsea, (762 Kb).

P. Langevin, Sur la nature des grandeurs et le choix d’un systeme d’unites electriques, Oevres Scientifiques, Paris, CNRS, 1950 (6.1 Mb).

RELATED WEB SITES

Mimetic discretization (Nicolaus Robidoux)