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# Accession Number:

## ADA019532

# Title:

## Complexity of Vectorized Solution of Two-Dimensional Finite Element Grids.

# Descriptive Note:

## Technical interim rept.,

# Corporate Author:

## MICHIGAN UNIV ANN ARBOR SYSTEMS ENGINEERING LAB

# Report Date:

## 1975-11-01

# Pagination or Media Count:

##
37.0

# Abstract:

## Given a two-dimensional grid of 2 sup n-2 rectangular finite elements with m2 nodesside and l variablesnode, a general dissection strategy is proposed for direct solution of the associated matrix equation. Expressions are developed in terms of m, n, and l for 1 the total number of multiplications and subtractions, and 2 a tight upper bound for the number of vector operations involved. The average vector length Lave is defined as the ratio total operationstotal vectors, and is shown useful as a gross measure of vectorization efficiency. The efficiency of current vector processors in solving dissected grids is evaluated using this measure.

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#