Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2000-09-29
2009-11-24
Vincent, David R (Department: 2123)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
Reexamination Certificate
active
07623991
ABSTRACT:
Disclosed is a system for representing and modeling one or more systems in which each system corresponds to an application mode. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model. A portion of the physical quantities and variables associated with the combined system may be selectively solved for. The partial differential equations may be displayed and may in turn solve for the system of partial differential equations in accordance with a general form or a coefficient form. An automated technique provides for automatic derivation of the combined partial differential equations and boundary conditions. This technique automatically merges the equations from a plurality of application modes, and in some instances, performs symbolic differentiation of the equations, producing a single system of partial differential equations. A subset of physical quantities and associated variables not solved for may be used as initial values to the system of partial differential equations.
REFERENCES:
patent: 5408638 (1995-04-01), Sagawa et al.
patent: 6349272 (2002-02-01), Phillips
patent: 6810370 (2004-10-01), Watts, III
Partial Differential Equation Toolbox User's Guide: For Use with MATLAB. © 1984-1997. p. 1-8.
Wilks, Mike. “Primer on Object-Oriented Programming”. 1996. http://www.eimc.brad.ac.uk/java/tutorial/Project1/ooprim.htm.
FEMLAB User's Guide and Introduction. (c) 1994-1998, pp. 1-4 to 1-8.
FEMLAB Reference Manual. (c) 1994-1998. pp. 4-36 to 4-39.
FEMLAB 1.0 Reference Manual for use with MATLAB V5, Windows 95, Windows NT, Unix, 1994-1998.
FEMLAB 1.0 User's Guide and Introduction for use with MATLAB V5, Windows 95, Windows NT, Unix, 1994-1998.
FEMLAB 1.0 Model Library for use with MATLAB V5, Windows 95, Windows NT, Unix, 1994-1998.
FEMLAB 1.0 Structural Mechanics Engineering Module for use with FEMLAB, 1994-1998.
George et al., “Delaunay Triangulation and Meshing,”Hermes, Paris 33-238 (1998); Delaunay triangulation: 33-46, 50-59; Constrained triangulation: 73-99; Parametric surface meshing: 161-173; Optimizations: 215-238.
Dahlquist et al., “Numerical Methods,”Prentice Hall284-355 (1974); Interpolation: 284-285; Linear Solver: 146-172; Time-Dependent Solver: 347-355;Eigenvalue Solver: 208-211; Damped Newton Method: 248-253.
Brenner et al., “The Mathematical Theory of Finite Element Methods,”Springer-Verlag1-12 (1994); The Finite Element Method: 1-12.
Frey et al, “Mesh Generation, Application to Finite Elements,”Hermes, Paris 88-90(2000); Mesh Search: 88-90.
Zienkiewicz et al., “The Finite Element Method,”McGraw-Hill1:23-177; Basis Function: 23-26; Quadrature Formulas, Gauss Points, Weights: 175-177.
Davenport et al., “Computer Algebra Systems and Algorithms for Algebraic Computation,”Academic Press28-32 (1993); Symbolic Differentiation: 28-32.
C. Johnson, “Numerical Solution of Partial Differential Equations by the Finite Element Method,”Studentlitteratur14-18 (1987); Test Function 14-18.
FEMLAB, “Installation Guide,” For Use With MATLAB, Windows, UNIX, LINUX, Macintosh; Version 2.2 (Copyright 1994-2001 by COMSOL AB).
FEMLAB, “Reference Manual,” For Use With MATLAB, Windows, UNIX, LINUX, Macintosh; Version 2.2 (Copyright 1994-2001 by COMSOL AB).
FEMLAB, “Chemical EngineeringModule,” For Use With MATLAB, Windows, UNIX, LINUX, Macintosh; Version 2.2 (Copyright 1994-2001 by COMSOL AB).
FEMLAB, “Model Library,” For Use With MATLAB, Windows, UNIX, LINUX, Macintosh; Version 2.2 (Copyright 1994-2001 by COMSOL AB).
FEMLAB, “User's Guide and Instruction,” For Use With MATLAB, Windows, UNIX, LINUX, Macintosh; Version 2.2 (Copyright 1994-2001 by COMSOL AB).
FEMLAB, “Electromagnetics Module,” For Use With MATLAB, Windows, UNIX, LINUX, Macintosh; Version 2.2 (Copyright 1994-2001 by COMSOL AB).
FEMLAB®, “Installation and New Features Guide,” Version 2.3 (Nov. 2002).
FEMLAB®, “Reference Manual,” Version 1.0 (Jul. 1998).
FEMLAB, “FEMLAB 2.2: New Features © ,” (2001) Printed from http://www.technion.ac.il/˜leonidb/BursteinSite/Femlb22About.htm.
Anderson, D.G., “Iterative Procedures for Nonlinear Integral Equations,”Journal of the ACM12(4):547-560 (1965).
Notice of Allowance and Fee(s) Due, U.S. Appl. No. 09/995,222, filed Nov. 27, 2001, mail on Oct. 27, 2008, 10 pages.
Allowed Claims 43-86, U.S. Appl. No. 09/995,222, filed Nov. 27, 2001, 11 pages.
Saitz, J. “Newton-Raphson Method and Fixed-Point Technique in Finite Element Computation of Magnetic Field Problems in Media with Hysteresis”, IEEE Transactions on Magnetics, vol. 35, No. 3, pp. 1398-1401, May 1999.
Canova, A. and M. Repetto. “Integral Solution of Nonlinear Magnetostatic Field Problems”, IEEE Transactions on Magnetics, vol. 37, No. 3, pp. 1070-1077, May 2001.
Ribeiro, P. “Non-linear Forced Vibrations of Thin/Thick Beams and Plates by the Finite Element and Shooting Methods”, Computers and Structures, vol. 82, pp. 1413-1423, May 2004.
Rao, P. “An Efficient Scalable Finite Element Model for Simulating Large Scale Hydrodynamic Flows”, 16th ASCE Engineering Mechanics Conf., Jul. 16-18, 2003.
16th American Society of Civil Engineers (ASCE) Engineering Mechanics•Conference, Jul. 16-18, 2003. Printed Jan. 10, 2007. http://www.ce.washington.edu/em03/proceeedings/authorindex.htm.
Persson, P. “Implementation of Finite Element-Based Navier-Stokes Solver 2.094—Project”, Apr. 25, 2002. http://www.mit.edu/—persson
sfem—report.pdf.
Langemyr Lars
Marklund Magnus
Nordmark Arne
Persson Per-Olof
Ringh Magnus
Comsol AB
Craig Dwin M
Nixon & Peabody LLP
Vincent David R
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