Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2002-12-06
2009-08-11
Jones, Hugh (Department: 2128)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
Reexamination Certificate
active
07574330
ABSTRACT:
A method and apparatus facilitate accurate and efficient numerical solution of governing equations for various analyses. One form of the invention involves: dividing a region of interest into a plurality of higher order finite elements; determining for each of the finite elements a respective approximate solution based on piecewise approximation relating to the region; determining a differential formulation which approximates a governing equation; and combining the approximate solutions and the differential formulation using mixed order approximation to obtain a set of algebraic equations.
REFERENCES:
J.N. Reddy et al. “The Finite Element Method in Heat Transfer and Fluid Dynamics”, 1994, CRC Press, Inc., vol. 1, 25-39,58,59,67,97-98,135,145-146,151-152,167-170, 361-371.
Felippa; Equation Modification Methods; Apr. 2001; pp. 1-10; obtained from http://www.colorado.edu/engineering/CAS/Felippa.d/FelippaHome.d/Publications.d/ModEq.pdf.
Wikipedia definition for Finite Element Method; obtained from http://en.wikipedia.org/wiki/Finite—element—method.
Quartapelle (numerical solution of the incompressible Navier-Stokes equations); pp. 214-215; (Birkhäuser Verlag, Basel, 1993).
Beilina et al. (a hybrid method for the wave equation); Uppsala University Report; pp. 1-30; Oct. 2001.
Youn et al. (A New Direct Higher-Order Taylor-Galerkin Finite Element Method); Computers & Structures vol. 56. No. 4. pp. 651-656. 1995.
Jones Hugh
Siemens Product Lifecycle Management Software Inc.
Wallace Michael J.
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