Summing Logarithmic Expansions for Elliptic Equationsin
نویسنده
چکیده
Elliptic problems in a two-dimensional domain containing one or several small holes is studied asymptotically in the limit of small hole radius ". As a result of the perturbation , the asymptotic solution to this class of problems contains an innnite logarithmic expansion in powers of ?1= log ". A hybrid asymptotic-numerical technique is used to sum these innnite logarithmic expansions and obtain close agreement with full numerical results. The particular problems considered include viscous ow in a straight pipe and steady-state linear and nonlinear diiusion problems.
منابع مشابه
Summing Logarithmic Expansions for Elliptic
Elliptic problems in a two-dimensional domain containing one or several small holes are studied asymptotically in the limit of small hole radius ". As a result of the perturbation , the asymptotic solution to this class of problems contains an innnite logarithmic expansion in powers of ?1= log ". A hybrid asymptotic-numerical technique is used to sum these innnite logarithmic expansions and to ...
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