Finite element calculations on a micro‐computer | Zendy

Verruijt A. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research