Solving the Biharmonic Equation in a Square: A Direct Versus a Semidirect Method.
JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
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A direct method is compared with an iterative coupled equation approach for solving the biharmonic difference equation in a square. If there are N sup 2 unknowns, then the direct method requires C sub 1N sup 3 operations compared to C sub 2N sup 52 operations for the iterative approach with optimal relaxation, where C sub 1 and C sub 2 are constants. Author
- Theoretical Mathematics