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Mathematics of Computation

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A third-order boundary condition for the exterior Stokes problem in three dimensions


Author: Georges H. Guirguis
Journal: Math. Comp. 49 (1987), 379-389
MSC: Primary 65N30; Secondary 76-08, 76D07
DOI: https://doi.org/10.1090/S0025-5718-1987-0906177-5
MathSciNet review: 906177
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Abstract: We approximate the Stokes operator on an exterior domain in three dimensions by a truncated problem on a finite subdomain. A third-order artificial boundary condition is introduced. We discuss the approximating behavior of the truncated problem and its discretization in a finite element space. Combined errors arising from truncation and discretization are considered.


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DOI: https://doi.org/10.1090/S0025-5718-1987-0906177-5
Article copyright: © Copyright 1987 American Mathematical Society