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The Global ETD Search service is a free service for researchers
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Showing 1 to 8 of 8 (0.061 seconds)Spelling suggestions: "subject:"wavelet based"" "subject:"wavelet cases""
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Wavelets for the fast solution of boundary integral equationsHarbrecht, Helmut, Schneider, Reinhold 06 April 2006 (has links) (PDF)
This paper presents a wavelet Galerkin scheme for the fast solution of boundary integral equations. Wavelet Galerkin schemes employ appropriate wavelet bases for the discretization of boundary integral operators. This yields quasi-sparse system matrices which can be compressed to O(N_J) relevant matrix entries without compromising the accuracy of the underlying Galerkin scheme. Herein, O(N_J) denotes the number of unknowns. The assembly of the compressed system matrix can be performed in O(N_J) operations. Therefore, we arrive at an algorithm which solves boundary integral equations within optimal complexity. By numerical experiments we provide results which corroborate the theory.
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| 2 |
Adaptive Wavelet Galerkin BEMHarbrecht, Helmut, Schneider, Reinhold 06 April 2006 (has links) (PDF)
The wavelet Galerkin scheme for the fast solution of boundary integral equations produces approximate solutions within discretization error accuracy offered by the underlying Galerkin method at a computational expense that stays proportional to the number of unknowns. In this paper we present an adaptive version of the scheme which preserves the super-convergence of the Galerkin method.
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| 3 |
Wavelet Galerkin Schemes for Boundary Integral Equations - Implementation and QuadratureHarbrecht, Helmut, Schneider, Reinhold 06 April 2006 (has links) (PDF)
In this paper we consider the fully discrete wavelet Galerkin scheme for the fast solution of boundary integral equations in three dimensions. It produces approximate solutions within discretization error accuracy offered by the underlying Galerkin method at a computational expense that stays proportional to the number of unknowns. We focus on implementational details of the scheme, in particular on numerical integration of relevant matrix coefficients. We illustrate the proposed algorithms by numerical results.
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| 4 |
Wavelets for the fast solution of boundary integral equationsHarbrecht, Helmut, Schneider, Reinhold 06 April 2006 (has links)
This paper presents a wavelet Galerkin scheme for the fast solution of boundary integral equations. Wavelet Galerkin schemes employ appropriate wavelet bases for the discretization of boundary integral operators. This yields quasi-sparse system matrices which can be compressed to O(N_J) relevant matrix entries without compromising the accuracy of the underlying Galerkin scheme. Herein, O(N_J) denotes the number of unknowns. The assembly of the compressed system matrix can be performed in O(N_J) operations. Therefore, we arrive at an algorithm which solves boundary integral equations within optimal complexity. By numerical experiments we provide results which corroborate the theory.
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| 5 |
Adaptive Wavelet Galerkin BEMHarbrecht, Helmut, Schneider, Reinhold 06 April 2006 (has links)
The wavelet Galerkin scheme for the fast solution of boundary integral equations produces approximate solutions within discretization error accuracy offered by the underlying Galerkin method at a computational expense that stays proportional to the number of unknowns. In this paper we present an adaptive version of the scheme which preserves the super-convergence of the Galerkin method.
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| 6 |
A unified approach to orthogonally multiplexed communication using wavelet bases and digital filter banksJones, William Wayne January 1994 (has links)
No description available.
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| 7 |
Wavelet Galerkin Schemes for Boundary Integral Equations - Implementation and QuadratureHarbrecht, Helmut, Schneider, Reinhold 06 April 2006 (has links)
In this paper we consider the fully discrete wavelet Galerkin scheme for the fast solution of boundary integral equations in three dimensions. It produces approximate solutions within discretization error accuracy offered by the underlying Galerkin method at a computational expense that stays proportional to the number of unknowns. We focus on implementational details of the scheme, in particular on numerical integration of relevant matrix coefficients. We illustrate the proposed algorithms by numerical results.
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| 8 |
Adaptive Waveletmethoden zur Approximation von Bildern / Adaptive wavelet methods for the approximation of imagesTenorth, Stefanie 08 July 2011 (has links)
No description available.
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