A posteriori boundary element error estimation (
نویسندگان
چکیده
An a posteriori error estimator is presented for the boundary element method in a general framework. It is obtained by solving local residual problems for which a local concept is introduced to accommodate the fact that integral operators are nonlocal operators. The estimator is shown to have an upper and a lower bound by the constant multiples of the exact error in the energy norm for Symm’s and hypersingular integral equations. Numerical results are also given to demonstrate the e ectiveness of the estimator for these equations. It can be used for adaptive h; p, and hp methods. c © 1999 Elsevier Science B.V. All rights reserved. MSC: 65N35; 65N15; 65R20; 65D07; 45L10
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