Highly Influenced

@article{Chan1997TheNS, title={The Numerical Solution of the Biharmonic Equation by Conformal Mapping}, author={Raymond H. Chan and Thomas K. DeLillo and Mark A. Horn}, journal={SIAM J. Scientific Computing}, year={1997}, volume={18}, pages={1571-1582} }

- Published 1997 in SIAM J. Scientific Computing
DOI:10.1137/S1064827595292710

The solution to the biharmonic equation in a simply connected region in the plane is computed in terms of the Goursat functions. The boundary conditions are conformally transplanted to the disk with a numerical conformal map. A linear system is obtained for the Taylor coeecients of the Goursat functions. The coeecient matrix of the linear system can be put in the form I + K where K is the discretization of a compact operator. K can be thought of as the composition of a block Hankel matrix with… CONTINUE READING

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