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In this paper we present a parallel wavelet transform based implementation of Finite element method for solution of multiscale PDEs. The parallel wavelet transform is adopted from and is used for parallelizing a wavelet based finite element code. The parallel wavelet transform results in optimal load balancing with minimum communication requirements. The algorithm is highly scalable approaching perfect...
This paper presents a new approach for solving elliptic PDEs using wavelets. In this paper scalets and wavelets are used as basis functions for solving Poissons equation. The scalets are constructed using the Lagrangian interpolating functions (linear polynomials) which are C0. The corresponding wavelets are chosen to be Hierarchical basis functions. The basis functions are tailored for the PDE and...
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