GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Ten lectures on wavelets
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Parallel iterative scheme for solving BEM systems using fast wavelet transforms
Developments in engineering computational technology
Parallel Computation of Wavelet Transforms Using the Lifting Scheme
The Journal of Supercomputing
Fast Wavelet Transforms for Matrices Arising from Boundary Element Methods
Fast Wavelet Transforms for Matrices Arising from Boundary Element Methods
Review: Wavelet-based numerical analysis: A review and classification
Finite Elements in Analysis and Design
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This paper describes the parallelization of a strategy to speed up the convergence of iterative methods applied to boundary element method (BEM) systems arising from problems with non-smooth boundaries and mixed boundary conditions. The aim of the work is the application of fast wavelet transforms as a black box transformation in existing boundary element codes. A new strategy was proposed, applying wavelet transforms on the interval, so it could be used in case of non-smooth coefficient matrices. Here, we describe the parallel iterative scheme and we present some of the results we have obtained.