ISSN:
0945-3245
Keywords:
AMS (MOS): 65N45
;
65R20
;
65N99
;
65N30
;
65D07
;
45J05
;
45B05
;
45E05
;
45L10
;
R: 61.9
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary Integral operators are nonlocal operators. The operators defined in boundary integral equations to elliptic boundary value problems, however, are pseudo-differential operators on the boundary and, therefore, provide additional pseudolocal properties. These allow the successful application of adaptive procedures to some boundary element methods. In this paper we analyze these methods for general strongly elliptic integral equations and obtain a-posteriori error estimates for boundary element solutions. We also apply these methods to nodal collocation with odd degree splines. Some numerical examples show that these adaptive procedures are reliable and effective.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01397551
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