A new approach to solving multiorder time‐fractional advection–diffusion–reaction equations using BEM and Chebyshev matrix
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DOI: 10.1002/mma.6352
Abstract: In this paper, the boundary element method is combined with Chebyshev operational matrix technique to solve two-dimensional multi-order time-fractional partial differential equations; nonlinear and linear in respect to spatial and temporal variables, respectively. Fractional derivatives… read more here.
Keywords: approach solving; diffusion; time fractional; time ... See more keywords
hp Fast Multipole Boundary Element Method for 3D‐Acoustics
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DOI: 10.1002/nme.5434
Abstract: Summary A Fast Multipole Boundary Element Method (FMBEM) extended by an adaptive mesh refinement algorithm for solving acoustic problems in three-dimensional space is presented in this paper. The Collocation method is used, and the Burton-Miller… read more here.
Keywords: acoustics; method; boundary element; fast multipole ... See more keywords
The solution of elastostatic and dynamic problems using the boundary element method based on spherical Hankel element framework
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DOI: 10.1002/nme.5595
Abstract: Summary In this paper, new spherical Hankel shape functions are utilized to reformulate boundary element method for two-dimensional (2D) elastostatic and elastodynamic problems. To this end, the dual reciprocity (DR) boundary element method (BEM) is… read more here.
Keywords: element method; boundary element; hankel; spherical hankel ... See more keywords
The boundary element method of peridynamics
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DOI: 10.1002/nme.6764
Abstract: The peridynamic theory brings advantages in dealing with discontinuities, dynamic loading, and nonlocality. The integro‐differential formulation of peridynamics poses challenges to numerical solutions of complicated and practical problems. Some important issues attract much attention, such… read more here.
Keywords: time; boundary element; method; element method ... See more keywords
Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation
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DOI: 10.1007/s00211-021-01259-8
Abstract: Time-domain Boundary Element Methods (BEM) have been successfully used in acoustics, optics and elastodynamics to solve transient problems numerically. However, the storage requirements are immense, since the fully populated system matrices have to be computed… read more here.
Keywords: boundary element; wave equation; cross approximation; approximation ... See more keywords
A new fast direct solver for the boundary element method
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DOI: 10.1007/s00466-017-1407-2
Abstract: A new fast direct linear equation solver for the boundary element method (BEM) is presented in this paper. The idea of the new fast direct solver stems from the concept of the hierarchical off-diagonal low-rank… read more here.
Keywords: matrix; new fast; boundary element; fast direct ... See more keywords
A State Space Boundary Element Method with Analytical Formulas for Nearly Singular Integrals
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mechanica Solida Sinica"
DOI: 10.1007/s10338-018-0040-8
Abstract: A new method named the state space boundary element method (SSBEM) is established, in which the problem domain is divided into two parts. One is the boundary element domain which includes the interested inner point,… read more here.
Keywords: element; boundary element; method; state space ... See more keywords
Investigating the interaction of two oscillating foils in tandem arrangement, using 3D unsteady boundary element method
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-018-1323-1
Abstract: Interaction of an oscillating foil in uniform flow would produce a forwarding thrust. The efficiency of this phenomenon is very dependent on the heave and pitch frequencies, and especially different phase angles. It is also… read more here.
Keywords: foils tandem; foil; oscillating foils; boundary element ... See more keywords
A well simulator for homogeneous reservoirs based on formulations of the isogeometric boundary element method
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DOI: 10.1007/s40430-021-02924-7
Abstract: The development of a simulator for homogeneous reservoirs with application in producer wells (represented by a sink) and the aquifer analysis is obtained by combining the Boundary Element Method (BEM), the Isogeometric Formulation using NURBS… read more here.
Keywords: homogeneous reservoirs; simulator homogeneous; boundary element; element method ... See more keywords
Neutron noise simulator based on the boundary element method (BEM)
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DOI: 10.1016/j.anucene.2021.108327
Abstract: Abstract The purpose of the present study is to develop the neutron diffusion solver and neutron noise simulator based on the Boundary Element Method (BEM). The 2-D, 2-G neutron/adjoint diffusion equation and corresponding neutron/adjoint noise… read more here.
Keywords: neutron noise; method; boundary element; noise ... See more keywords
Analysis of the neutral layer offset of bimetal composite plate in the straightening process using boundary element subfield method
Sign Up to like & getrecommendations! Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.04.038
Abstract: Abstract In the classical straightening theory, it supposes that the geometric central layer and stress neutral layer are a coincidence. However, there is some offset in fact. This is one of the reasons why straightening… read more here.
Keywords: straightening process; straightening force; layer; layer offset ... See more keywords