Coupling the Best Approximation and Complex Variable Boundary Element Methods

Abstract

From (5.4), a linear operation equation is solved by the Best Approximation Method by use of the inner product

$$[\left( {u,v} \right) = \int\limits_\Gamma {uvd\Gamma } + \int\limits_\Omega {Lu} Lvd\Omega$$

(7.1)

where the integration over Г includes both the spatial and temporal boundary conditions (i.e., initial conditions in a diffusion problem).