Exact a Priori Matching of Mixed Boundary Conditions for Second Order Elliptic Problems,
DREXEL UNIV PHILADELPHIA PA DEPT OF MATHEMATICAL SCIENCES
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The attached paper addresses the problem of inconsistently specified boundary conditions. In the simplest instance of Dirichlet conditions, this means that the function values do not match at the corners. Herein, we show how to actually construct bivariate functions which exactly match mixed linear boundary conditions, even when they are inconsistently specified. Moreover, software has been developed which numerically performs the necessary operator multiplications and constructs the singular functions needed to accommodate such inconsistent boundary conditions. This software will soon be available for general distribution.
- Statistics and Probability