Flow graphs and boundary value problems

✍ Scribed by L.J. Feeser; C.C. Feng

• Publisher: Elsevier Science
• Year: 1967
• Tongue: English
• Weight: 615 KB
• Volume: 284
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(67)90448-6

✦ Synopsis

Structural mechanics problems governed by Laplacian and Poissonian partial differential equations are solved by oriented linear flow graphs based on the first-order finite difference equations or relaxation operators. A catalogue of flow graph building blocks for various coordinates, rectangular, skew rectangular, polar and triangular systems are described. Simple rules are presented to distinguish the branch param~ters used for different coordinates in flow graph forms. System graphs for physical probhms (~re t/~e assemblagc of thes( building blocks. Rules for folding graphs simplify solutions for symmdrical conditions. Flow graphs represent solution processes a~d allow solutions to be obtained l)y h~su'ction of the mesL network using the concept of loop rules. Three examples .for solutions of different types of boundary value problems are presented.