Results 21 to 30 of about 614 (179)
Computer Assisted Methods in Engineering and Science, 2017 Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
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ARGOS: An adaptive refinement goal‐oriented solver for the linearized Poisson–Boltzmann equation
Journal of Computational Chemistry, Volume 42, Issue 26, Page 1832-1860, October 5, 2021., 2021 An adaptive refinement goal oriented solver (ARGOS) of the linearized Poisson–Boltzmann equation for the calculation of the electrostatic interaction between molecules is developed and tested. It can efficiently handle discontinuous dielectric coefficients, singular charge densities, and the complicated geometry of molecular domains in three spatial ...
Svetoslav Nakov +3 more
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Mathematics, 2023 A new linear integro-differential equation is considered on a closed curve located on the complex plane. The integrals in the equation are understood in the sense of a finite part, according to Hadamard.
Andrei P. Shilin
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IET Microwaves, Antennas &Propagation, Volume 15, Issue 10, Page 1159-1170, 12 August 2021., 2021 Abstract Considered is the plane‐wave scattering from and absorption by a thin circular dielectric disk. The analysis uses a set of the singular integral equations for the effective electric and magnetic currents, derived using the generalized boundary conditions on the disk median section.
Mario Lucido +2 more
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A generalized method for scattering from wide cavities with specified wave functions
IET Microwaves, Antennas &Propagation, Volume 15, Issue 1, Page 69-79, 8 January 2021., 2021 Abstract This study developed a generalized solution based on modal expansion for scattering by large cavities with known wave functions placed in an infinite perfect electric plane. Under the assumption of a large cavity, to reduce simulation time and simplify expressions, the half‐space above cavity with a strong singular Green's function is ...
Mehdi Bozorgi
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High-Order Integral Equation Methods for Diffraction Problems Involving Screens and Apertures [PDF]
, 2012 This thesis presents a novel approach for the numerical solution of problems of diffraction by infinitely thin screens and apertures. The new methodology relies on combination of weighted versions of the classical operators associated with the Dirichlet ...
Lintner, Stéphane Karl
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Numerical Solution for an Epicycloid Crack
Journal of Applied Mathematics, 2014 A flat crack, Ω, is lying in a three-dimensional homogenous isotropic elastic solid subjected to shear loading. A mathematical formulation is developed based on the mixed boundary values for Ω such that the problem of finding the resulting force can be ...
Nik Mohd Asri Nik Long +3 more
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Dynamic interaction of cracks in piezoelectric and anisotropic solids: A non-hypersingular BIEM approach [PDF]
Theoretical and Applied Mechanics, 2008 A non-hypersingular traction boundary integral equation method (BIEM) is proposed for the treatment of crack systems in piezoelectric or anisotropic plane domains loaded by time-harmonic waves. The solution is based on the frequency dependent fundamental
Dineva Petia +2 more
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Hypersingular Integral Equations of Prandtl’s Type: Theory, Numerical Methods, and Applications
Axioms, 2022 In this paper, we propose and justify a spline-collocation method with first-order splines for approximate solution of nonlinear hypersingular integral equations of Prandtl’s type.
Ilya Boykov +2 more
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A Quadrature Method for the Hypersingular Integral Equation on an Interval [PDF]
Journal of Integral Equations and Applications, 1995 Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
openaire +5 more sources