Engwer, C. and Gräser, C. and Müthing, S. and Sander, O. (2018) Function space bases in the dunefunctions module. arXiv:1806.09545 . pp. 153. (Submitted)

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Official URL: https://arxiv.org/abs/1806.09545
Abstract
The dunefunctions 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 dunepdelab and dunefem. This document describes the function space bases provided by dunefunctions. 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 multiindices 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 TaylorHood 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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