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OPTIMAL MULTILEVEL METHODS FOR GRADED BISECTION GRIDS
subspace correction method local mesh refi nement bisection method
2015/12/11
We design and analyze optimal additive and multiplicative multilevel methods for solving H1 problems on graded grids obtained by bisection. We deal with economical local smoothers: after a global smoo...
FAST DIRECTIONAL MULTILEVEL ALGORITHMS FOR OSCILLATORY KERNELS
N-body problems scattering problems Helmholtz equation oscillatory kernels fast multipole methods separated representations random sampling operator compression multidirectional computation multiscale methods
2015/7/14
This paper introduces a new directional multilevel algorithm for solving N-body orN-point problems with highly oscillatory kernels. These systems often result from the boundary integral formulations o...
Multilevel Correction For Collocation Solutions of Volterra Integral Equations With Proportional Delays
delay integral equation geometric mesh collocation method superconvergence
2012/8/10
In this paper we propose a convergence acceleration method
for collocation solutions of the linear second-kind Volterra integral
equations with proportional delay qt (0 < q < 1). This convergence
a...
An Adaptive Multilevel Method For Time-Harmonic Maxwell Equations With Singularities
Maxwell's equations singularities of solutions adaptive 痭 ite element method multigrid method
2012/8/8
We develop an adaptive edge 痭ite element method based on reliable and e眂ient
residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell's equations with
singularities. The r...
Multilevel Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems with Jump Coefficients
Multilevel preconditioner discontinuous Galerkin methods Crouzeix-Raviart nite elements
2011/1/19
In this article we develop and analyze two-level and multi-level methods for the
family of Interior Penalty (IP) discontinuous Galerkin (DG) discretizations of second order
elliptic problems with ro...
A Multilevel Approach For Nonnegative Matrix Factorization
nonnegative matrix factorization algorithms multigrid and multilevel methods
2010/11/30
Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative ma-trix with the product of two low-rank nonnegative matrices and has been shown to be particularly
useful in many...
International Conference On Multilevel Methods
Computational Applied Mathematics Conference Multilevel Methods
2006/8/18
The purpose of this conference is to get together researchers in the world especially in China and neighboring Asian countries to exchange recent ideas and results in multigrid/multiscale and domain d...
Non-overlapping Domain Decomposition Methods with A New Class of Multilevel Solvers
domain decomposition interface space multilevel decomposition preconditioner condition number harmonic extension inexact solver
2012/8/1
In this paper we are concerned with non-overlapping domain decomposition methods for the second-order elliptic problems in three-dimensional domains. In this method,the interface variable is chosen as...