Finite parts of singular and hypersingular integrals with irregular boundary source points. (English) Zbl 0991.74079
The paper deals with a unified definition of finite parts of strongly singular and hypersingular integrals occurring in boundary integral equations collocated at an arbitrary boundary point. Irregular points situated at corners in two-dimensional problems or at corners or edges in three-dimensional problems are considered, too. The exclusion zone is quite arbitrary. The author compares his results with other formulations, and makes recommendations concerning the use of particular procedures for various problems. The paper concerns also continuity requirements for collocation of hypersingular boundary integral equations.
Reviewer: Vladimir Sládek (Bratislava)
MSC:
| 74S15 | Boundary element methods applied to problems in solid mechanics |
| 74B05 | Classical linear elasticity |
Keywords:
irregular boundary points; strongly singular integrals; finite part; hypersingular integrals; exclusion zone; continuity requirements; collocation; hypersingular boundary integral equationsReferences:
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