Fast finite-difference solution of biharmonic problems

By D. Greenspan, D. Schultz

Communications of the ACM, Vol. 15 No. 5, Pages 347-350
10.1145/355602.361313

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.

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Fast finite-difference solution of biharmonic problems

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