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rvanvenetie committed Apr 19, 2021
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# Efficient space-time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space
This repository contains an implementation of arXiv:2101.03956, as described in.
This repository contains the implementation that was used to generate the numerics in arXiv:2104.08143 and arXiv:2101.03956.

This project provides a linear complexity implementation of a space-time
adaptive solver for parabolic evolution equations. The trial spaces that
we consider here are given as sparse tensor product approximations
of wavelets-in-time and (locally refined) finite element spaces-in-space.
Special care has to be taken to evaluate matrix-vector products, as the
system-matrix w.r.t. such a multi-level type basis is not sparse. By restricting
to bases that are spanned by tensor products having index sets that form double-trees,
we can still evaluate the system matrices in linear complexity.

Aiming at a truly linear-complexity implementation, we implemented this algorithm
using tree-based algorithms, without the use of hash maps.
adaptive solver for parabolic evolution equations. Aiming at a truly linear-complexity
implementation, we implemented this algorithm using tree-based algorithms, without the use of hash maps.

## Requirements
- A C++17 compliant compiler
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