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- Leonard J. Gray, J. M. Glaeser, T. Kaplan
- SIAM J. Scientific Computing
- 2004

A direct algorithm for evaluating hypersingular integrals arising in a three-dimensional Galerkin boundary integral analysis is presented. The singular integrals are defined as limits to the… (More)

- Leonard J. Gray, Alice Phan, T. Kaplan
- SIAM J. Scientific Computing
- 2004

In a boundary integral analysis, rst order function derivatives, e.g., boundary potential gradient or stress tensor, can be accurately computed using a recently proposed Galerkin algorithm. However,… (More)

- Michael J Aziz, T. Kaplan, Zusammenfassung
- 2002

-A model is developed that predicts the steady state velocity of a planar interface and the chemical composition of the growing phase in terms of the interface temperature and the composition of the… (More)

- Ted Berman, Jeff Freedman, T. Kaplan
- Eleventh Annual International Phoenix Conference…
- 1992

A new Markov chain (MC) technique which analytically calculates the word, symbol and bit error rates (BERs) of a concatenated Reed-Solomon (RS)/Viterbi coding system in an additive white Gaussian… (More)

Free space Green’s functions are derived for graded materials in which the the conductivity varies exponentially in one coordinate. Closed-form expressions are obt for the steady-state diffusion… (More)

We present a modification to the quarter-point crack tip element and employ this element in two-dimensional boundary integral fracture analysis. The standard singular element is adjusted so that the… (More)

- Leonard J. Gray, T. Kaplan
- 2000

A direct approach to calculating the hypersingular integral for a threedimensional Galerkin approximation is presented. The method does not employ either Stokes' Theorem or a regularization process… (More)

- R. Kitey, A.-V. Phan, Hareesh V. Tippur, T. Kaplan
- 2005

The interaction of a crack with perfectly bonded rigid isolated inclusions and clusters of inclusions in a brittle matrix is investigated using numerical simulations. Of particular interest is the… (More)

The free-space Green function for a two-dimensional exponentially graded elastic medium is derived. The shear modulus μ is assumed to be an exponential function of the Cartesian coordinates (x, y),… (More)

A multipole algorithm for plane elasticity based on the direct boundary element method (BEM) is presented. The kernels in the BEM are approximated as truncated Taylor series with expansion points… (More)