Modified Moments for Indefinite Weight Functions.
Monitoring the Stability of the Triangular Factorization of a Sparse Matrix.
Monotone convergence of the Lanczos approximations to matrix functions of Hermitian matrices.
Mulit-Grid Methods for Stokes and Navier-Stokes Equations. Transforming Smoothers: Algorithms and Numerical Results.
Multidimensional matrix inversions.
Multigrid conformal mapping via the Szegő kernel.
Multigrid for the Wilson mortar element method.
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.
Multilevel iterative methods for mixed finite element discretizations of elliptic problems.
Multi-level method in eigenvalue problem
One method for computing the least eigenvalue of a positive definite matrix of order is described.
Multilevel preconditioners for Lagrange multipliers in domain imbedding.
Multilevel preconditioning.
Multilevel Schwarz methods.
Multiparameter extrapolation and deflation methods for solving equation systems.
Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems
In this paper we introduce and analyze some non-overlapping multiplicative Schwarz methods for discontinuous Galerkin (DG) approximations of elliptic problems. The construction of the Schwarz preconditioners is presented in a unified framework for a wide class of DG methods. For symmetric DG approximations we provide optimal convergence bounds for the corresponding error propagation operator, and we show that the resulting methods can be accelerated by using suitable Krylov space solvers. A discussion...
Multiscale analysis of wave propagation in random media. Application to correlation-based imaging
We consider sensor array imaging with the purpose to image reflectors embedded in a medium. Array imaging consists in two steps. In the first step waves emitted by an array of sources probe the medium to be imaged and are recorded by an array of receivers. In the second step the recorded signals are processed to form an image of the medium. Array imaging in a scattering medium is limited because coherent signals recorded at the receiver array and coming from a reflector to be imaged are weak and...
Nearly optimal convergence result for multigrid with aggressive coarsening and polynomial smoothing
We analyze a general multigrid method with aggressive coarsening and polynomial smoothing. We use a special polynomial smoother that originates in the context of the smoothed aggregation method. Assuming the degree of the smoothing polynomial is, on each level , at least , we prove a convergence result independent of . The suggested smoother is cheaper than the overlapping Schwarz method that allows to prove the same result. Moreover, unlike in the case of the overlapping Schwarz method, analysis...