Results 1 to 10 of about 345,470 (293)
Non-Singular Burton–Miller Boundary Element Method for Acoustics
Fluids, 2023 The problem of non-unique solutions at fictitious frequencies that can appear in the boundary element method for external acoustic phenomena described by the Helmholtz equation is studied.
Qiang Sun, Evert Klaseboer
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Mathematics, 2022 A localized virtual boundary element–meshless collocation method (LVBE-MCM) is proposed to solve Laplace and Helmholtz equations in complex two-dimensional (2D) geometries.
Xingxing Yue +3 more
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A Numerical Study for the Dirichlet Problem of the Helmholtz Equation
Mathematics, 2021 In this paper, an effective numerical method for the Dirichlet problem connected with the Helmholtz equation is proposed. We choose a single-layer potential approach to obtain the boundary integral equation with the density function, and then we deal ...
Yao Sun, Shijie Hao
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A boundary integral equation method for the fluid-solid interaction problem
Communications in Analysis and Mechanics, 2023 In this paper, a boundary integral equation method is proposed for the fluid-solid interaction scattering problem, and a high-precision numerical method is developed.
Yao Sun, Pan Wang, Xinru Lu , Bo Chen
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The use of dual reciprocity method for 2D laminar viscous flow [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the dual reciprocity multidomain singular boundary method (SBMDR) for the solution of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj
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SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN
Вестник КазНУ. Серия математика, механика, информатика, 2021 In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov +1 more
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IEEE Access, 2022 In the present research work, we designed a hybrid stochastic numerical solver to investigate nonlinear singular two-point boundary value problems with Neumann and Robin boundary conditions arising in various physical models.
Jiayi Guo +3 more
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Transient Dynamic Response Analysis of Two-Dimensional Saturated Soil with Singular Boundary Method
Mathematics, 2022 In this paper, the singular boundary method (SBM) in conjunction with the exponential window method (EWM) is firstly extended to simulate the transient dynamic response of two-dimensional saturated soil.
Dongdong Liu +5 more
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Pseudo Mapping Method for Singular Integral of Curved Panels [PDF]
한국해양공학회지, 2019 A numerical method is suggested for evaluating the singular integral of curved panels in the higher-order boundary element method. Two-step mapping procedures that are significantly related to the physical properties of singular behaviors were developed ...
Ik-Jae Lee, Sun-Hong Kwon
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Mathematics, 2023 This study presents a novel coupled meshless model for simulating acoustic wave propagation in heterogeneous media, based on the singular boundary method (SBM) and Kansa’s method (KS).
Cheng Chi, Fajie Wang, Lin Qiu
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