C. A. Brebbia's Boundary Element Techniques in Engineering PDF

By C. A. Brebbia

ISBN-10: 0408003405

ISBN-13: 9780408003407

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Math. Modelling, 2, No. 2, June (1978) 2. Stroud, A. H. , Gaussian Quadrature Formulae, Prentice Hall, New York, (1966) 3. Martin, H. C. 'Finite Element Analysis of Fluid Flows', Proc. Conf. on Matrix Methods in Structural Mechanics, AFFDL TR 68-150, Patterson Air Force Base, Ohio, USA (1969) 4. Lau, P. and Brebbia, C. , The Cell Collocation Method', Int. 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.

5) -lehetjl with, βΐ- | φ^+άΓ, »o gfj= Jo 2w*< >άΓ To write the equation corresponding to node T in discrete form we need to add the contribution from two adjoining elements, (j — 1) and (;), into one term, defining the nodal coefficient. GwK M3-6) {«N) where each Hi} term is equal to the h2 term of element 'j - Γ plus the h1 term of element (j — 1) for a clockwise numbering system. The same applies for G 0 . 9) If the surface is not smooth at the point T the c{ = — ^ is no longer valid but one can calculate the diagonal terms of H by using the fact that when a uniform potential is applied on the whole boundary the values of q's must be zero.

The u and q functions can be written in terms of the homogeneous ξ coordinate as follows, U(£)= (^Ui + φ2 U2 + (/)3 U3 = [!

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Boundary Element Techniques in Engineering by C. A. Brebbia


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