Method and apparatus for analyzing engineering problems using a finite element technique with differential formulation

摘要

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.