Results 271 to 280 of about 215,554 (316)

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
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Approximation of boundary element matrices

Numerische Mathematik, 2000
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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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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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Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering

SIAM Journal on Numerical Analysis, 2003
The author considers the transmission problem with homogeneous Maxwell equations for the electric field, where the (bounded) scatterer has piecewise smooth Lipschitz boundary. He studies the symmetric coupling of a weak formulation of Maxwell's equations inside the scatterer with boundary integral equations arising from the problem in the unbounded ...
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C2-CONTINUOUS ELEMENTS FOR BOUNDARY ELEMENT ANALYSIS

International Journal for Numerical Methods in Engineering, 1997
A new kind of \(C^2\)-continuous elements is derived by linear blending of two consecutive second-order Overhauser elements, with the latter one being the quadratic blending of three quartic \(C^0\)-continuous elements. The numerical implementation by these new elements is given for the boundary integral equations employed in solution of boundary value
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