Fast finite-difference solution of biharmonic problems

Authors:
D. Greenspan;D. Schultz
Affiliations:
Univ. of Wisconsin, Milwaukee;Univ. of Wisconsin, Milwaukee
Venue:
Communications of the ACM
Year:
1972

Citing 1
Cited 2

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Abstract

Setting the Reynolds number equal to zero, in a method for solving the Navier-Stokes equations numerically, results in a fast numerical method for biharmonic problems. The equation is treated as a system of two second order equations and a simple smoothing process is essential for convergence. An application is made to a crack-type problem.