Method of automatic generation of a computer for numerical simulation of physical phenomenon
US4819161A · kind A · utility
Assignees
Inventors
Key dates
| Filing date | Aug 26, 1986 |
| Grant date | Apr 4, 1989 |
| Priority date | — |
| Expiry date | Aug 26, 2006 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F2111/10
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
The partial differential equations inputted with respect to an unknown quantity A are processed according to the finite element method in which simultaneous first-order equations equivalent to the partial differential equations are obtained, and then a matrix equation equivalent to the simultaneous first-order equations, namely, (k.sub.ij) (a.sub.i)=(d.sub.i) is processed to derive a coefficient {a.sub.j } so as to generate a program which calculates the unknown quantity A. For each group of a plurality of elements, the program calculates a contribution determined by the positions of the nodes associated with the elements with respect to a portion of matrix element group such as k.sub.lm and k.sub.ll and a portion of constant group such as d.sub.l and d.sub.m determined by the numbers assigned to a plurality of nodes contained in the group of a plurality of elements and then generates the final values of the matrix element group {k.sub.ij } and the constant {d.sub.i } from the contribution calculated for each group of a plurality of elements.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.