Premium
Finite element calculations on a micro‐computer
Author(s) -
Verruijt A.
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620151013
Subject(s) - finite element method , degrees of freedom (physics and chemistry) , computer science , mixed finite element method , byte , field (mathematics) , computer memory , element (criminal law) , personal computer , computational science , smoothed finite element method , gauss–seidel method , gauss , mathematics , mathematical optimization , iterative method , algorithm , boundary knot method , engineering , structural engineering , programming language , computer hardware , physics , semiconductor memory , quantum mechanics , law , political science , pure mathematics , boundary element method
A method is presented for solving field problems using a finite element formulation, to be executed with the aid of a micro‐computer. In order to reduce the requirements regarding memory space, the coefficients of the matrix defining the system of equations are not stored, but calculated when they are needed, in a modification of the usual finite element procedure. The method is applicable to all problems for which Gauss–Seidel iteration converges, and can handle problems involving more than 100 degrees‐of‐freedom on a computer with 8,000 bytes memory. Computing time may run up to several minutes per cycle of iteration, but on a small, personal computer, this is still acceptable.