Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D
A posteriori error estimation is an important tool for reliable and efficient Galerkin boundary element computations. For hypersingular integral equations in 2D with positive-order Sobolev space, we analyze the mathematical relation between the (h ...
Goldenits, Petra +3 more
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A Note on Evaluation of Temporal Derivative of Hypersingular Integrals over Open Surface with Propagating Contour. [PDF]
Jaworski D +2 more
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Fundamental solutions and dual boundary element methods for fracture in plane Cosserat elasticity. [PDF]
Atroshchenko E, Bordas SP, Bordas SP.
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H-polarized natural modes of microsize graphene strip grating in gain-material layer: regularizing Galerkin technique and lasing threshold conditions. [PDF]
Zinenko TL, Ctyroky J, Nosych OI.
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Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces. [PDF]
Labarca I, Faria LM, Pérez-Arancibia C.
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Regularization of electromagnetic scattering problems via the Abel integral transform. [PDF]
Vinogradova E, Smith P.
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Evaluation Algorithm of Root Canal Shape Based on Steklov Spectrum Analysis. [PDF]
Wu D +7 more
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In this paper we describe a fully discrete quadrature method for the numerical solution of a hypersingular integral equation of the first kind for the scattering of time-harmonic elastic waves by a cavity crack. We establish convergence of the method and
Roman Chapko, Lars Mönch, Rainer Kress
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Solving acoustic scattering problems by the isogeometric boundary element method. [PDF]
Dölz J, Harbrecht H, Multerer M.
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Evaluation of Hypersingular Integrals on Curvilinear Surface Elements
In this study finite part integrals are utilized for evaluation of hypersingular and nearly-hypersingular surface integrals on curvilinear elements. These integrals are related to the second derivative of the free space Green' function and arise in the ...
Koç, Seyit Sencer, Selcuk, Gokhun
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