Summary Representation Applied to Seepage Problems

by Antonio Santos-Moreno, Inqeniero de Caminos in Civ. Engrg.; Technol. Inst., Northwestern Univ., Evanston, IL,
Raymond J. Krizek, Prof. of Civ. Engrg.; Technol. Inst., Northwestern Univ., Evanson, IL,
Gabor M. Karadi, Prof. of Civ. Engrg.; Univ. of Wisconsin, Milwaukee, WI,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 1, Pg. 141-157

Document Type: Journal Paper


The method of summary representation, which is based on applying the classical finite-difference approach to certain operators, is presented and applied to the numerical solution of certain boundary value problems associated with steady-state seepage. An example problem is given to illustrate how this technique reduces the number of algebraic equations obtained from conventional numerical approaches and how it decreases the necessary assumptions related to such analyses. Accordingly, computer efficiency can be increased, because the operating matrices are reduced in size, and problems which are defined over an infinite domain can be handled without introducing artificial boundary conditions.

Subject Headings: Finite difference method | Steady states | Seepage | Numerical analysis | Computing in civil engineering | Matrix (mathematics) | Boundary conditions

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