Wavelet Stabilization and Preconditioning for Domain Decomposition
نویسندگان
چکیده
The aim of this paper is to propose a stabilization technique in order to circumvent the two inf{sup conditions needed for stability of the discretization of the Three Fields Formulation for domain decomposition methods BM93, BM94]. Realization of this technique in terms of wavelets is presented. Furthermore, the resulting discrete problem is shown to admit an asymptotically optimal preconditioner also based on wavelets.
منابع مشابه
Comparative Analysis of Wavelet-based Feature Extraction for Intramuscular EMG Signal Decomposition
Background: Electromyographic (EMG) signal decomposition is the process by which an EMG signal is decomposed into its constituent motor unit potential trains (MUPTs). A major step in EMG decomposition is feature extraction in which each detected motor unit potential (MUP) is represented by a feature vector. As with any other pattern recognition system, feature extraction has a significant impac...
متن کاملAn improved hybrid image watermarking scheme in shearlet and wavelet domain
Watermarking is one of the best solutions for copyright protection and authentication of multimedia contents. In this paper a hybrid scheme is proposed using wavelet and shearlet transforms with singular value decomposition. For better security, Arnold map is used for encryption. Examining the results and comparing with other methods show that this hybrid proposed scheme with simultaneous utili...
متن کاملSingular Value Decomposition based Steganography Technique for JPEG2000 Compressed Images
In this paper, a steganography technique for JPEG2000 compressed images using singular value decomposition in wavelet transform domain is proposed. In this technique, DWT is applied on the cover image to get wavelet coefficients and SVD is applied on these wavelet coefficients to get the singular values. Then secret data is embedded into these singular values using scaling factor. Different com...
متن کاملApplication of Biorthogonal Wavelets to Precondi- tioning the 3-Fields Formulation:Numerical Results in Nonconforming Decomposition
The aim of this paper is to implement the wavelet preconditioner for the linear system corresponding to the discrete Poincaré-Steklov operator arising in the three fields formulation. In order to apply the preconditioner, we will introduce multiresolution analysis(MRA)for L2(0, 2) which is suitable in nonconforming domain decomposition. Extensive numerical results show that the condition number...
متن کاملWavelets on Manifolds I: Construction and Domain Decomposition
The potential of wavelets as a discretization tool for the numerical treatment of operator equations hinges on the validity of norm equivalences for Besov or Sobolev spaces in terms of weighted sequence norms of wavelet expansion coeecients and on certain cancellation properties. These features are crucial for the construction of optimal preconditioners, for matrix compression based on sparse r...
متن کامل