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Engineering Analysis with Boundary Elements, 2015
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Dogan, Hakan +2 more
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Dogan, Hakan +2 more
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Boundary integral equation method for source localization with a continuous wave sonar
The Journal of the Acoustical Society of America, 1992In this paper, matched-field processing is combined with the boundary integral equation method (BIEM) of scattering theory to study a sound source localization problem in a perturbed shallow ocean. It is assumed that there is a known inclusion embedded in a shallow water waveguide. Continuous waves (cw), produced by a sound source, are scattered by the
Yongzhi Xu, Yi Yan
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Meshless local boundary integral equation method for 2D elastodynamic problems
International Journal for Numerical Methods in Engineering, 2003AbstractA new meshless method for solving transient elastodynamic boundary value problems, based on the local boundary integral equation (LBIE) method and the moving least squares approximation (MLS), is proposed in this paper. The LBIE with the MLS is applied to both transient and steady‐state (Laplace transformed) elastodynamics.
Sladek, J., Sladek, V., Van Keer, R.
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AN IMPROVED LOCAL BOUNDARY INTEGRAL EQUATION METHOD FOR TWO-DIMENSIONAL POTENTIAL PROBLEMS
International Journal of Applied Mechanics, 2010Combining the local boundary integral equation with the improved moving least-squares (IMLS) approximation, an improved local boundary integral equation (ILBIE) method for two-dimensional potential problems is presented in this paper. In the IMLS approximation, the weighted orthogonal functions are used as basis functions.
BAODONG DAI, YUMIN CHENG
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A Meshless Local Boundary Integral Equation method for three dimensional scalar problems
Digests of the 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation, 2010In this work we apply a meshless method based on Local Boundary Integral Equations (LBIE) to find the solution to boundary value problems. We discretize the weak form through the use of special basis functions that, unlike the Finite Element Method (FEM), are not confined to an element and do not need the support of an underlying mesh.
Williams L. Nicomedes +2 more
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A meshless local boundary integral equation method for solving transient elastodynamic problems
Computational Mechanics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sellountos, E. J., Polyzos, D.
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The Boundary Integral Equation Method (BIEM) Local Exhaust Hood Flow Fields
AIHAJ, 1989The boundary integral equation method (BIEM) is a flexible solver for predicting three-dimensional velocity fields into local exhaust hoods. A numerical validation of a computer program based on the BIEM shows excellent agreement with an analytic model for flow into a flanged rectangular hood.
MICHAEL R. FLYNN, CASS T. MILLER
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Computational Mechanics, 1999
The essential features of the Meshless Local Petrov-Galerkin (MLPG) method, and of the Local Boundary Integral Equation (LBIE) method, are critically examined from the points of view of a non-element interpolation of the field variables, and of the meshless numerical integration of the weak form to generate the stiffness matrix.
Atluri, S. N., Kim, H.-G., Cho, J. Y.
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The essential features of the Meshless Local Petrov-Galerkin (MLPG) method, and of the Local Boundary Integral Equation (LBIE) method, are critically examined from the points of view of a non-element interpolation of the field variables, and of the meshless numerical integration of the weak form to generate the stiffness matrix.
Atluri, S. N., Kim, H.-G., Cho, J. Y.
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2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2013
Bone healing involves a series of complicated cellular and molecular mechanisms that result in bone formation. Several mechanobiological models have been developed to simulate these cellular mechanisms via diffusive processes. In most cases solution to diffusion equations is accomplished using the Finite Element Method (FEM) which however requires ...
Konstantinos N. Grivas +4 more
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Bone healing involves a series of complicated cellular and molecular mechanisms that result in bone formation. Several mechanobiological models have been developed to simulate these cellular mechanisms via diffusive processes. In most cases solution to diffusion equations is accomplished using the Finite Element Method (FEM) which however requires ...
Konstantinos N. Grivas +4 more
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Advances in Applied Mathematics and Mechanics, 2019
Summary: In this article, we investigate the construction of a meshless local discrete collection method suitable for solving a class of boundary integral equations of the second kind with logarithmic singular kernels. These types of boundary integral equations can be deduced from boundary value problems of Laplace's equations with linear Robin ...
Assari, Pouria, Dehghan, Mehdi
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Summary: In this article, we investigate the construction of a meshless local discrete collection method suitable for solving a class of boundary integral equations of the second kind with logarithmic singular kernels. These types of boundary integral equations can be deduced from boundary value problems of Laplace's equations with linear Robin ...
Assari, Pouria, Dehghan, Mehdi
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