Publication Date:
2019-06-28
Description:
An algorithm is presented which solves the multi-dimensional diffusion equation on co mplex shapes to 4th-order accuracy and is asymptotically stable in time. This bounded-error result is achieved by constructing, on a rectangular grid, a differentiation matrix whose symmetric part is negative definite. The differentiation matrix accounts for the Dirichlet boundary condition by imposing penalty like terms. Numerical examples in 2-D show that the method is effective even where standard schemes, stable by traditional definitions fail.
Keywords:
Numerical Analysis
Type:
NASA-CR-198279
,
NAS 1.26:198279
,
AD-A306919
,
ICASE-96-8
Format:
application/pdf
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