By C. A. Brebbia

ISBN-10: 0408003405

ISBN-13: 9780408003407

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J. Mech. , 20, 83-95 (1978) 5. , Partial Differential Equations in Physics New York, Academic Press, pp. 1 INTRODUCTION It was assumed in Chapter 2 that u and q were constant over each element. In general however, u and q can have a linear or higher-order variation. In addition their variations need not be of the same order and for instance, it is more consistent to take q of one order less than u as it is equal to the derivative of the potential. e. linear elements) can be developed for twodimensional problems.

101) In general we can write a constant c, instead of \ for a non-smooth boundary. 102) From now on the usual boundary element matrix technique can be applied. 12). 103) for the case of a threedimensional medium, for which the boundary at Γχ will be a sphere of radius tending to infinity. 104) The minus sign in front of the right-hand side integral comes from the fact that the normal on Γ ^ is in the opposite direction to the radial coordinate, dö, άφ are the differentials of the angles in spherical polar coordinates.

97) where J0 is a Bessel function of the first kind and Y0 is one of the second kind. „ . 101) In general we can write a constant c, instead of \ for a non-smooth boundary. 102) From now on the usual boundary element matrix technique can be applied. 12). 103) for the case of a threedimensional medium, for which the boundary at Γχ will be a sphere of radius tending to infinity. 104) The minus sign in front of the right-hand side integral comes from the fact that the normal on Γ ^ is in the opposite direction to the radial coordinate, dö, άφ are the differentials of the angles in spherical polar coordinates.

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Boundary Element Techniques in Engineering by C. A. Brebbia


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