Influence surfaces by boundary element/least square methods coupling

Wavelet Least Square Methods for Boundary

Wavelet Least Square Methods for Boundary Value Problems

This paper is concerned with least squares methods for the numerical solution of operator equations. Our primary focus is the discussion of the following conceptual issues: the selection of appropriate least squares functionals, their numerical evaluation in the special light of recent developments of multiscale and wavelet methods and a natural way of preconditioning the resulting systems of l...

Two C1-methods to generate Bézier surfaces from the boundary

Two methods to generate tensor-product Bézier surface patches from their boundary curves and with tangent conditions along them are presented. The first one is based on the tetraharmonic equation: we show the existence and uniqueness of the solution of ∆4−→x = 0 with prescribed boundary and adjacent to the boundary control points of a n× n Bézier surface. The second one is based on the nonhomog...

Boundary Value Problems and Multiscale Coupling Methods for Kinetic Equations

DECAY OF A LINEAR OSCILLATOR IN A RAREFIED GAS: SPATIALLY ONE-DIMENSIONAL CASE Kazuo Aoki Kyoto University, Mechanical Engineering and Science An infinitely wide plate, subject to an external force in its normal direction obeying Hooke’s law, is placed in an infinite expanse of a rarefied gas. When the plate is displaced from its equilibrium position and released, it starts in general an oscill...

Boundary homogenization for trapping by patchy surfaces.

We analyze trapping of diffusing particles by nonoverlapping partially absorbing disks randomly located on a reflecting surface, the problem that arises in many branches of chemical and biological physics. We approach the problem by replacing the heterogeneous boundary condition on the patchy surface by the homogenized partially absorbing boundary condition, which is uniform over the surface. T...