Differentiability of strongly singular and hypersingular boundary integral formulations with respect to boundary perturbations
نویسندگان
چکیده
منابع مشابه
Differentiability of strongly singular and hypersingular boundary integral formulations with respect to boundary perturbations
In this paper, we establish that the Lagrangian-type material differentiation formulas, that allow to express the first-order derivative of a (regular) surface integral with respect to a geometrical domain perturbation, still hold true for the strongly singular and hypersingular syrface integrals usually encountered in boundary integral formulations. As a consequence, this work supports previou...
متن کاملComputation of singular and hypersingular boundary integrals by Green identity and application to boundary value problems
The problem of computing singular and hypersingular integrals involved in a large class of boundary value problems is considered. The method is based on Green’s theorem for calculating the diagonal elements of the resulting discretized matrix using the Nyström discretization method. The method is successfully applied to classical boundary value problems. Convergence of the method is also discus...
متن کاملBoundary Conditions for Singular Perturbations
Let A : D(A) H ! H be an injective self-adjoint operator and let : D(A) ! X, X a Banach space, be a surjective linear map such that k k X c kAAk H. Supposing that Range (0) \ H 0 = f0g, we deene a family A of self-adjoint operators which are extensions of the symmetric operator A jf =0g. Any in the operator domain D(A) is characterized by a sort of boundary conditions on its univocally deened r...
متن کاملa comparison of teachers and supervisors, with respect to teacher efficacy and reflection
supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...
15 صفحه اولFlux and traction boundary elements without hypersingular or strongly singular integrals
The present paper deals with a boundary element formulation based on the traction elasticity boundary integral equation (potential derivative for Laplace’s problem). The hypersingular and strongly singular integrals appearing in the formulation are analytically transformed to yield line and surface integrals which are at most weakly singular. Regularization and analytical transformation of the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Mechanics
سال: 1997
ISSN: 0178-7675,1432-0924
DOI: 10.1007/s004660050172