Mulit-Grid Methods for Stokes and Navier-Stokes Equations. Transforming Smoothers: Algorithms and Numerical Results.
Multi regional state space systems -- controller design and stability
Multichannel deblurring of digital images
Blur is a common problem that limits the effective resolution of many imaging systems. In this article, we give a general overview of methods that can be used to reduce the blur. This includes the classical multi-channel deconvolution problems as well as challenging extensions to spatially varying blur. The proposed methods are formulated as energy minimization problems with specific regularization terms on images and blurs. Experiments on real data illustrate very good and stable performance of...
Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena : local study and upscaling process
Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a “mixed finite element” method adapted to a finite volume scheme, of which we give numerical analysis. In a last part, we apply an homogenization technique to...
Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process
Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a "mixed finite element"method adapted to a finite volume scheme, of which we give numerical analysis. In a last part, we apply an homogenization technique to...
Multidimensional integral operators with bihomogeneous kernels: A projection method and pseudospectra.
Multidimensional matrix inversions.
Multidimensional smoothing using hyperbolic interpolatory wavelets.
Multidrug resistance and its reversal: Mathematical models.
Multigrid algorithm with conditional coarsening for the non-aligned sonic flow.
Multigrid conformal mapping via the Szegő kernel.
Multigrid for the Wilson mortar element method.
Multigrid method for in three dimensions.
Multigrid method with preconditioning on coarse level
An algorithm for using the preconditioned conjugate gradient method to solve a coarse level problem is presented.
Multigrid Methods for Boundary Integral Equations.
Multi-Grid Methods for Hamiltonian-Jacobi-Bellmann Equations.
Multigrid preconditioning and Toeplitz matrices.
Multigrid solution of a two-phase Stefan problem with prescribed convection
Multilevel algorithms for ill-posed problems.
Multilevel correction adaptive finite element method for semilinear elliptic equation
A type of adaptive finite element method is presented for semilinear elliptic problems based on multilevel correction scheme. The main idea of the method is to transform the semilinear elliptic equation into a sequence of linearized boundary value problems on the adaptive partitions and some semilinear elliptic problems on very low dimensional finite element spaces. Hence, solving the semilinear elliptic problem can reach almost the same efficiency as the adaptive method for the associated boundary...