Ken Hayami

A numerical quadrature for nearly singular boundary element integrals

Abstract Nearly singular integrals arise in the boundary element method when analyzing thin structures and gaps and when calculating the field very near the boundary. Hayami proposed the PART method for the accurate and efficient calculation of such nearly singular integrals over general curved surface elements. In this paper, a new radial variable transformation for the method, which reduces the number of integration points for flux integrals, is proposed with theoretical error analysis using complex function theory. Also, an implementation technique of the method is proposed, which considerably reduces the number of integration points.

Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations

In this paper, we study the numerical solution of two-dimensional nonlinear Volterra integral equation by collocation and iterated collocation method. Asymptotic error expansion of iterated collocation solution is obtained. Using Richardsons extrapolation, we show that the accuracy of numerical solution in the iterated collocation method can be improved greatly. Some numerical examples are given to illustrate this theory.

GMRES Methods for Least Squares Problems

The standard iterative method for solving large sparse least squares problems

A Multipole Boundary Element Method for Two Dimensional Elastostatics

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Parallel block preconditioning based on SSOR and MILU

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A geometric view of Krylov subspace methods on singular systems

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Inner-Iteration Krylov Subspace Methods for Least Squares Problems

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Convergence of Inner-Iteration GMRES Methods for Rank-Deficient Least Squares Problems

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Overlapped multicolor MILU preconditioning

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Boundary element simulation of large amplitude standing waves in vessels

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