Abstract
A two-dimensional (2D) boundary element method (BEM) is proposed by replacing traditional polynomial interpolation with one-dimensional (1D) scaling functions of B-spine wavelet on the interval (BSWI). Potential problem and elasticity problem are investigated by BSWI BEM. For these two problems, the boundary variables represented by coefficients of wavelets expansions are transformed from wavelet space to physical space through the nonsingular transformation matrices. To make the curve boundary able to be compatible well, the second-order scaling functions are applied to approximate geometric boundary. In addition, singular integral problems appearing in BSWI BEM are solved. Numerical examples verify that BSWI BEM has a desirable performance by comparing with conventional 2D BEM.
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