A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow


Biharmonic equations have many applications, especially in fluid and solid mechanics, but difficult to solve due to the fourth order derivatives in the differential equation. In this paper a fast second order accurate algorithm based on a finite difference discretization and a Cartesian grid is developed for two dimensional biharmonic equations on irregular… (More)
DOI: 10.1007/s10444-007-9043-6

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