عنوان

A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals

شابک

364284698X

شابک

9783642846984

شماره

b574582

عنوان اصلي

A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals

نام عام مواد

[Book]

نام نخستين پديدآور

by Ken Hayami.

محل نشرو پخش و غیره

Berlin, Heidelberg

نام ناشر، پخش کننده و غيره

Springer Berlin Heidelberg

تاریخ نشرو بخش و غیره

1992

نام خاص و کميت اثر

(x, 456 Seiten)

عنوان فروست

Lecture Notes in Engineering, 73

متن يادداشت

In three dimensional boundary element analysis, computation of integrals is an important aspect since it governs the accuracy of the analysis and also because it usually takes the major part of the CPU time. The integrals which determine the influence matrices, the internal field and its gradients contain (nearly) singular kernels of order lIr a (0:= 1,2,3,4,.··) where r is the distance between the source point and the integration point on the boundary element. For planar elements, analytical integration may be possible 1,2,6. However, it is becoming increasingly important in practical boundary element codes to use curved elements, such as the isoparametric elements, to model general curved surfaces. Since analytical integration is not possible for general isoparametric curved elements, one has to rely on numerical integration. When the distance d between the source point and the element over which the integration is performed is sufficiently large compared to the element size (d> 1), the standard Gauss-Legendre quadrature formula 1,3 works efficiently. However, when the source is actually on the element (d=O), the kernel 1I~ becomes singular and the straight forward application of the Gauss-Legendre quadrature formula breaks down. These integrals will be called singular integrals. Singular integrals occur when calculating the diagonals of the influence matrices.

موضوع مستند نشده

Appl. Mathematics/Computational Methods of Engineering.

موضوع مستند نشده

Integral Equations.

موضوع مستند نشده

Mathematics.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by Ken Hayami.

مستند نام اشخاص تاييد نشده

Ken Hayami

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y