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7 papers · 2 filters
Splitting schemes for unsteady problems involving the grad-div operator
Peter Minev, Petr N. Vabishchevich
In this paper we consider various splitting schemes for unsteady problems containing the grad-div operator. The fully implicit discretization of such problems would yield at each t…
Single measurement experimental data for an inverse medium problem inverted by a multi-frequency globally convergent numerical method
Aleksandr E. Kolesov, Michael V. Klibanov, Loc H. Nguyen +2
The recently developed globally convergent numerical method for an inverse medium problem for the Helmholtz equation is tested on experimental data. The data were originally collec…
Numerical Solution of a Coefficient Inverse Problem with Multi-Frequency Experimental Raw Data by a Globally Convergent Algorithm
Dinh-Liem Nguyen, Michael V. Klibanov, Loc H. Nguyen +3
We analyze in this paper the performance of a newly developed globally convergent numerical method for a coefficient inverse problem for the case of multi-frequency experimental ba…
A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains
Eric T. Chung, Maria Vasilyeva, Yating Wang
In this paper, we present a new multiscale model reduction technique for the Stokes flows in heterogeneous perforated domains. The challenge in the numerical simulations of this pr…
Re-iterated multiscale model reduction using the GMsFEM
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +1
Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective proper…
Online Adaptive Local Multiscale Model Reduction for Heterogeneous Problems in Perforated Domains
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +2
In this paper, we develop and analyze an adaptive multiscale approach for heterogeneous problems in perforated domains. In many applications, these problems have a multiscale natur…