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An Efficient High Order Heterogeneous Multiscale Method For Elliptic Problems
Heterogeneous multiscale method H-convergence Least-squares
2012/8/10
We propose an efficient heterogeneous multiscale finite element
method based on a local least-squares reconstruction of the effective matrix
using the data retrieved from the solution of cell proble...
Nonoverlapping Domain Decomposition Methods with Simplified Coarse Spaces for Solving Three-dimensional Elliptic Problems
domain decomposition coarse subspace substructuring preconditioner inexact solver condition number
2012/8/8
In this paper we propose a substructuring preconditioner for solving three-dimensional
elliptic equations with strongly discontinuous coe±cients. The new preconditioner
can be viewed as a variant of...
Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients
Multigrid Preconditioner Elliptic Problems Jump Coefficients Numerical Analysis
2011/9/1
Abstract: In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic pr...
Weak Optimal Controls in Coefficients for Linear Elliptic Problems
degenerate elliptic equations control in coefficients
2011/2/21
In this paper we study an optimal control problem associated to a linear degenerate elliptic equation with mixed boundary conditions. The equations of this type can exhibit the Lavrentieff phenomenon ...
A PARALLEL ITERATIVE DOMAIN DECOMPOSITION ALGORITHM FOR ELLIPTIC PROBLEMS
Domain decomposition methods finite element methods parallel computing
2007/12/12
An iterative nonoverlapping domain decomposition procedure is proposed
and analyzed for linear elliptic problems. At the interface of two
subdomains, one subdomain problem requires that Dirichlet da...
We present an overview of the recent development on numerical methods for elliptic problems with multiscale coecients. We carry out a thorough study of two representative techniques: the heterogeneou...
Cascadic Multigrid for Finite Volume Methods for Elliptic Problems
Elliptic Problems Cascadic Multigrid
2012/7/31
In this paper, some effective cascadic multigrid methods are proposed for solving the large scale symmetric or nonsymmetric algebraic systems arising
from the finite volume methods for second order e...