Method and apparatus for analyzing engineering problems using a finite element technique with differential formulation
AssigneeSiemens Product Lifecycle Management Software Inc.
InventorPhanindranath Vedula
Life of this patent
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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.
Claims20
A method, comprising the steps of:
- dividing a region into a plurality of finite elements;
- determining for each of said finite elements a respective approximate solution for a differential equation which relates to said region;
- determining a differential formulation which approximates said differential equation;
- and
- combining said approximate solutions and said differential formulation to obtain a set of algebraic equations.
A computer-readable medium encoded with a computer program, said computer program being operable when executed to:
- divide a region into a plurality of finite elements;
- determine for each of said finite elements a respective approximate solution for a differential equation which relates to said region;
- determine a differential formulation which approximates said differential equation;
- and
- combine said approximate solutions and said differential formulation to obtain a set of algebraic equations.
A method, comprising the steps of:
- dividing a region of interest into a plurality of higher order finite elements;
- determining for each of said finite elements a respective approximate solution based on piecewise approximation relating to said region;
- determining a differential formulation which approximates a governing equation;
- and
- combining said approximate solutions and said differential formulation using mixed order approximation to obtain a set of algebraic equations.
Dependencies are inferred from the claim text.