Abstract
This paper presents a boundary element method to solve unsteady three-dimensional incompressible viscous fluid flows. The method is based upon variational formulations for the first-kind integral equations. A numerical scheme with the use of space-time finite element methods is developed. An optimal-order error estimate in energy norm and superconvergence results in L ∞ norm are obtained. The author also proves that any order derivatives of the numerical solutions have same order superconvergence in L ∞ norm.
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