Generalized multiscale finite element methods for wave propagation in heterogeneous media
Numerical modeling of wave propagation in heterogeneous media is important in many
applications. Due to their complex nature, direct numerical simulations on the fine grid are …
applications. Due to their complex nature, direct numerical simulations on the fine grid are …
[BOOK][B] Multiscale Model Reduction
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …
impact of computer technology, the growing importance of computer modeling and the …
A BDDC algorithm with enriched coarse spaces for two-dimensional elliptic problems with oscillatory and high contrast coefficients
A balancing domain decomposition by constraints (BDDC) algorithm with enriched coarse
spaces is developed and analyzed for two-dimensional elliptic problems with oscillatory and …
spaces is developed and analyzed for two-dimensional elliptic problems with oscillatory and …
Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids
In this paper, a new type of staggered discontinuous Galerkin methods for the three
dimensional Maxwell's equations is developed and analyzed. The spatial discretization is …
dimensional Maxwell's equations is developed and analyzed. The spatial discretization is …
A staggered discontinuous Galerkin method for the Stokes system
Discontinuous Galerkin (DG) methods are a class of efficient tools for solving fluid flow
problems. There are in the literature many greatly successful DG methods. In this paper, a …
problems. There are in the literature many greatly successful DG methods. In this paper, a …
A staggered discontinuous Galerkin method for the convection–diffusion equation
This paper is concerned with the staggered discontinuous Galerkin method for convection–
diffusion equations. Over the past few decades, staggered type methods have been applied …
diffusion equations. Over the past few decades, staggered type methods have been applied …
A sub-grid structure enhanced discontinuous Galerkin method for multiscale diffusion and convection-diffusion problems
In this paper, we present an efficient computational methodology for diffusion and
convection-diffusion problems in highly heterogeneous media as well as convection …
convection-diffusion problems in highly heterogeneous media as well as convection …
The staggered DG method is the limit of a hybridizable DG method
We show, in the framework of steady-state diffusion boundary-value problems, that the
staggered discontinuous Galerkin (SDG) method [SIAM J. Numer. Anal., 47 (2009), pp. 3820 …
staggered discontinuous Galerkin (SDG) method [SIAM J. Numer. Anal., 47 (2009), pp. 3820 …
Two-level overlap** Schwarz algorithms for a staggered discontinuous Galerkin method
Two overlap** Schwarz algorithms are developed for a discontinuous Galerkin finite
element approximation of second order scalar elliptic problems in both two and three …
element approximation of second order scalar elliptic problems in both two and three …
A staggered discontinuous Galerkin method for the simulation of seismic waves with surface topography
Accurate simulation of seismic waves is of critical importance in a variety of geophysical
applications. Based on recent works on staggered discontinuous Galerkin methods, we …
applications. Based on recent works on staggered discontinuous Galerkin methods, we …