Abstract
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 parameters used for different coordinates in flow graph, forms. System graphs for physical problems are the assemblage of these building blocks. Rules for folding graphs simplify solutions for symmetrical conditions. Flow graphs represent solution processes and allow solutions to be obtained by inspection of the mesh network using the concept of loop rules. Three examples for solutions of different types of boundary value problems are presented.
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