Dune-Multiscale (Lssc '15)

Milk, René; Kaulmann, Sven

doi:10.5281/zenodo.16560

Cited by 1 publication

(2 citation statements)

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“…More recently, extensions to parameterized multiscale problems have been presented, such as the localized multiscale reduced basis method (LRBMS) [97,98,99] or the generalized multiscale finite element method (GMsFEM) [100,101,102]. In [103,104] we have demonstrated that most of these methods can be cast into a general abstract framework that may then be used for the design of a common implementation framework for multiscale methods, which has been realized in the Dune-MultiScale module [105]. In the following, we concentrate on an efficient parallelized implementation of MsFEM within the DUNE software framework.…”

Section: Multi Scale Methodsmentioning

confidence: 99%

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The DUNE Framework: Basic Concepts and Recent Developments

Bastian¹,

Blatt²,

Dedner³

et al. 2019

Preprint

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This paper presents the basic concepts and the module structure of the Distributed and Unified Numerics Environment and reflects on recent developments and general changes that happened since the release of the first Dune version in 2007 and the main papers describing that state [1,2]. This discussion is accompanied with a description of various advanced features, such as coupling of domains and cut cells, grid modifications such as adaptation and moving domains, high order discretizations and node level performance, non-smooth multigrid methods, and multiscale methods. A brief discussion on current and future development directions of the framework concludes the paper.

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Section: Multi Scale Methodsmentioning

confidence: 99%

“…Our implementation of the general framework for multiscale methods (Dune-Multiscale, [105]) is an effort birthed from the Exa-Dune project [16,106,107] and is built using the Dune Generic Discretization Toolbox (Dune-GDT, [108]) and Dune-XT [109] as well as the Dune core modules described in Section 3.…”

Section: Implementation and Parallelizationmentioning

confidence: 99%