Repository: Freie Universität Berlin, Math Department

Function space bases in the dune-functions module

Engwer, C. and Gräser, C. and Müthing, S. and Sander, O. (2018) Function space bases in the dune-functions module. arXiv:1806.09545 . pp. 1-53. (Submitted)


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The dune-functions Dune module provides interfaces for functions and function space bases. It forms one abstraction level above grids, shape functions, and linear algebra, and provides infrastructure for full discretization frameworks like dune-pdelab and dune-fem. This document describes the function space bases provided by dune-functions. These are based on an abstract description of bases for product spaces as trees of simpler bases. From this description, many different numberings of degrees of freedom by multi-indices can be derived in a natural way. We describe the abstract concepts, document the programmer interface, and give a complete example program that solves the stationary Stokes equation using Taylor-Hood elements.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2278
Deposited By: Ekaterina Engel
Deposited On:15 Aug 2018 09:24
Last Modified:15 Aug 2018 09:30

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