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Guanglian Li
Researcher at Imperial College London
Publications - 41
Citations - 771
Guanglian Li is an academic researcher from Imperial College London. The author has contributed to research in topics: Finite element method & Basis function. The author has an hindex of 12, co-authored 38 publications receiving 638 citations. Previous affiliations of Guanglian Li include University of Hong Kong & University of Bonn.
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An adaptive GMsFEM for high-contrast flow problems
TL;DR: An a-posteriori error indicator is derived for the Generalized Multiscale Finite Element Method (GMsFEM) framework which gives an estimate of the local error over coarse grid regions and is used to develop an adaptive enrichment algorithm for the linear elliptic equation with multiscale high-contrast coefficients.
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Generalized Multiscale Finite Element Methods. Oversampling Strategies
TL;DR: In this article, the authors proposed oversampling strategies in the Generalized Multiscale Finite Element Method (GMsFEM) framework, which allows solving multiscale parameter-dependent problems at a reduced computational cost by constructing a reduced-order representation of the solution on a coarse grid.
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Generalized Multiscale Finite Element Methods for problems in perforated heterogeneous domains
TL;DR: This paper follows Generalized Multiscale Finite Element Method (GMsFEM) and develops a multiscale procedure where it is shown that with a few basis functions in each coarse block, one can approximate the solution, where each coarse blocks can contain many small inclusions.
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Randomized Oversampling for Generalized Multiscale Finite Element Methods
TL;DR: This paper considers a snapshot space which consists of harmonic extensions of random boundary conditions defined in a domain larger than the target region, and studies the application of randomized sampling for GMsFEM in conjunction with adaptivity, where local multiscale spaces are adaptively enriched.
Posted Content
Randomized Oversampling for Generalized Multiscale Finite Element Methods
TL;DR: In this article, the Generalized Multiscale Finite Element (GMsFEM) framework is used to approximate the solution space locally using a few multiscale basis functions.