Results 21 to 30 of about 186 (123)
Exact Solutions of the 3D Fractional Helmholtz Equation by Fractional Differential Transform Method
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this work, we applied the fractional reduced differential transform method (FRDTM) to find the exact solutions of the three‐dimensional fractional Helmholtz equation (FHE) and compared our outcomes with the tenth‐order approximate solutions for diverse fractional orders.
Saleh Alshammari +2 more
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Fracture and Fatigue Analyses of Cracked Structures Using the Iterative Method
Geofluids, Volume 2021, Issue 1, 2021., 2021 It is a quite challenging subject to efficiently perform fracture and fatigue analyses for complex structures with cracks in engineering. To precisely and efficiently study crack problems in practical engineering, an iterative method is developed in this study.
Longgang Tian, Ziling Cheng, Feng Xiong
wiley +1 more source
Analysis of the Three‐Dimensional Dynamic Problems by Using a New Numerical Method
Advances in Civil Engineering, Volume 2021, Issue 1, 2021., 2021 The problems of the consolidation of saturated soil under dynamic loading are very complex. At present, numerical methods are widely used in the research. However, some traditional methods, such as the finite element method, involve more degrees of freedom, resulting in low computational efficiency.
Yao Rong +4 more
wiley +1 more source
Numerical Study on the Fracture Properties of Concrete Shield Tunnel Lining Segments
Geofluids, Volume 2021, Issue 1, 2021., 2021 Shield tunnel lining structure is usually under very complex loading conditions in the underground space. As a kind of the common concrete structures, any defect in the tunnel lining segment may deteriorate its bearing capacity and even cause severe disasters.
Longgang Tian +3 more
wiley +1 more source
Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D [PDF]
, 2014 summary:We deal with the Galerkin discretization of the boundary integral equations corresponding to problems with the Helmholtz equation in 3D. Our main result is the semi-analytic integration for the bilinear form induced by the hypersingular operator.
Zapletal, Jan, Bouchala, Jiří
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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
core +1 more source
Guest Editorial: Method of analytical regularisation for new frontiers of applied electromagnetics
, 2021 IET Microwaves, Antennas &Propagation, Volume 15, Issue 10, Page 1127-1132, 12 August 2021.
Mario Lucido +4 more
wiley +1 more source