Results 261 to 270 of about 23,409 (291)

Exact transformation of a wide variety of domain integrals into boundary integrals in boundary element method

Communications in Numerical Methods in Engineering, 2007
AbstractIn this paper, a sufficient condition for transforming domain integrals into boundary integral is described. The transformation is accomplished by Green's and Gauss' theorems. It is shown that a wide range of domain integrals including some integrals in boundary element method satisfy this sufficient condition and can be simply transformed into
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Simulation of gas–solid particle flows by boundary domain integral method

Engineering Analysis with Boundary Elements, 2002
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Požarnik, M., Škerget, L.
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Domain Decomposition Methods for Solving Stokes--Darcy Problems with Boundary Integrals

SIAM Journal on Scientific Computing, 2013
We consider a coupled problem of Stokes and Darcy equations. This involves solving PDEs of different orders simultaneously. To overcome this difficulty, we apply a nonoverlapping domain decomposition method based on a Robin boundary condition obtained by combining the velocity and force interface conditions.
Yassine Boubendir, Svetlana Tlupova
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Solution of Helmholtz Equation in the Exterior Domain by Elementary Boundary Integral Methods

Journal of Computational Physics, 1995
This paper is concerned with the direct and indirect boundary integral equations, based on Green's formula or the layer potential representation, for the Helmholtz equation in a smooth two-dimensional exterior domain. It surveys results on the solvability of the integral equations and on their approximate solution by spline collocation methods.
Amini, S., Kirkup, S. M.
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The multiple Reciprocity boundary element method in elasticity: A new approach for transforming domain integrals to the boundary

International Journal for Numerical Methods in Engineering, 1991
AbstractThis paper presents a new boundary element approach to transform domain integrals into equivalent boundary integrals. The technique, called the Multiple Reciprocity Method, is applied to 2‐D elasticity problems and operates on domain integrals resulting from different types of body forces such as gravitational and centrifugal forces, as well as
Neves, A. C., Brebbia, C. A.
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The boundary integral method for the linearized rotating Navier–Stokes equations in exterior domain

Applied Mathematics and Computation, 2010
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Rong An, Kaitai Li
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Method of boundary integral equations for the second boundary-value problem in domains with a cut

Journal of Soviet Mathematics, 1990
The solution of the second boundary value problem in R3 with a cut reduces to an integrodifferential equation, for the solving of which one can use operator methods of the theory of extensions of symmetric operators. The bounded solvability of the corresponding operator equation problem is proved.
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An enriched radial integration method for evaluating domain integrals in transient boundary element analysis

Applied Mathematics Letters
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Bingrui Ju, Yan Gu 0007, Ruzhuan Wang
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On the competition between artificial methods and boundary integral methods for the stokes equations in exterior domains

Communications in Applied Numerical Methods, 1988
AbstractWe compare the computer implementation and accuracy of the numerical approximation of the exterior Stokes problem in two dimensions.
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An absorbing boundary condition for the path-integral time-domain method

Microwave and Optical Technology Letters, 2000
Jeffrey A. Miller, Robert D. Nevels
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