Hydrodynamic response of a submerged elliptic disc to surface water waves
The impact of an elliptic disc submerged in water of infinite depth on radiation and scattering phenomena is analyzed employing linear water wave theory. The problem is tackled by reducing it into two-dimensional hypersingular integral equations over the
Ajijul Hoque +3 more
doaj +1 more source
On the numerical solution of a hypersingular integral equation in scattering theory
We describe a fully discrete method for the numerical solution of the hypersingular integral equation arising from the combined double- and single-layer approach for the solution of the exterior Neumann problem for the two-dimensional Helmholtz equation ...
Kress, Rainer
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Hypersingular integral equation for triple inclined cracks problems in half plane elasticity [PDF]
Hypersingular integral equation associated with the modified complex potential is formulated to solve the three inclined cracks problems in an elastic half-plane with free traction boundary condition.
Senu, Norazak +2 more
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Computer modelling of strength and vibrations of steam turbine elements
The objective of this study is to develop an effective method for analyzing the strength and vibrations of steam turbine components. Relevance In modern circumstances, the need to replace or upgrade equipment that has been in operation for ...
Роман Русанов +4 more
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Multiscale Coupling of One-dimensional Vascular Models and Elastic Tissues. [PDF]
Heltai L, Caiazzo A, Müller LO.
europepmc +1 more source
Adaptive Mesh-Refinement for a Hypersingular Integral Equation in 2D
The 2D Laplace equation with Neumann boundary conditions can equivalently be stated as a first-kind integral equation $Wu = F$ with hypersingular integral operator $W$ and certain right-hand side $F$.
Goldenits, Petra
core
Scattering of Magnetoacoustic Waves and Dynamic Stress Concentration around Double Openings in Piezomagnetic Composites. [PDF]
Xue H +11 more
europepmc +1 more source
Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Buffa A +4 more
europepmc +1 more source
Approximations of hypersingular integral equations by the quadrature method
A numerical method is proposed and investigated for the hypersingular in- tegral equations defined in Banach spaces. The hypersingular integral equations belong to a wider class of singular integral equations having much more stronger singularities. The proposed approximation method is an extension beyond the quadrature method.
LADOPOULOS, E.G., ZISIS, V.A.
openaire +2 more sources
The numerical solution of a nonlinear hypersingular boundary integral equation
In this paper we consider a direct hypersingular integral approach to solve harmonic problems with nonlinear boundary conditions by using a practical variant of the Galerkin boundary element method.
M. Ganesh +3 more
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