Results 221 to 230 of about 181,461 (268)

An Inverse Formulation With Boundary Elements

Journal of Applied Mechanics, 1992
A mathematical formulation for the solution of inverse problems pertaining to the identification of flaw shapes and the reconstruction of boundary conditions in a continua is described. Integral relationships are derived for the variation of field variables with respect to variation in flaw shape using Taylor series expansions.
Zeng, Xiaogang, Saigal, Sunil
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Mixed Approximations for Boundary Elements

SIAM Journal on Numerical Analysis, 2000
The author provides, and at the same time, carries out a fairly complete analysis of a mixed discretization scheme for a Steklov-Poincaré integral equation. This corresponds to a 3D boundary value problem with mixed boundary conditions of Dirichlet and Neumann type.
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Circular element: Isogeometric elements of smooth boundary

Computer Methods in Applied Mechanics and Engineering, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation of boundary element matrices

Numerische Mathematik, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spline element for boundary element method

IEEE Transactions on Magnetics, 1994
This paper presents a numerical scheme which uses spline function interpolation in finding the unknown half of the boundary conditions in two dimensional Boundary Element Method. Compared with polynomial interpolations, the scheme provides higher accuracy and continuity for the first and second derivatives along the boundary. It is generally applicable
null Ming Yu, E. Kuffel
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On a hybrid boundary element method

Numerische Mathematik, 2000
The author provides a fairly rigorous and elegant numerical analysis of a hybrid boundary element method which is already in use in some applications. He combines the advantages of the direct and indirect boundary integral formulations, furnishes a stability condition and the subsequent error estimate.
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h -adaptive boundary element schemes

Computational Mechanics, 1995
This paper introduces an \(h\)-adaptive algorithm for indirect 2-D Galerkin boundary elements applied to Dirichlet and Neumann problems. The algorithm is based on new ``a posteriori'' error estimates and is found particularly useful in presence of corner singularities typical of polygonal boundaries.
Carstensen, C., Estep, Donald, Stephan, P.   +2 more
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Boundary Concentrated Finite Element Methods

SIAM Journal on Numerical Analysis, 2003
A numerical solution method is presented for elliptic problems with low global Sobolev regularity, when the latter is due to rough boundary data or geometries but the solution has interior regularity. The proposed method is a kind of \(hp\)-finite element method that concentrates most degrees of freedom near the boundary.
Boris N. Khoromskij, Jens Markus Melenk
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The scaled boundary finite-element method – a fundamental solution-less boundary-element method

Computer Methods in Applied Mechanics and Engineering, 2001
It is well-known that the usage of a fundamental solution permits in the boundary element method to reduce the dimension of spatial discretization by one. Another striking feature of the boundary element method is that the radiation condition at infinity is satisfied exactly when modeling unbounded media.
Wolf, J.P., Song, Ch.
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On the calculation of boundary stresses in boundary elements

Engineering Analysis with Boundary Elements, 1995
The discontinuity of boundary stresses evaluated using discretized boundary elements is discussed, and stress error bound is derived. A new procedure for calculating interelement stress is proposed to overcome stress discontinuity at the interelement boundary.
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