From b516419be2a59115d9b2d853aeea9fcd4f125c94 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Raymond=20van=20Veneti=C3=AB?= Date: Mon, 19 Apr 2021 14:04:17 +0200 Subject: [PATCH] Update README.md --- README.md | 14 +++----------- 1 file changed, 3 insertions(+), 11 deletions(-) diff --git a/README.md b/README.md index 9f513786..712eee15 100644 --- a/README.md +++ b/README.md @@ -1,17 +1,9 @@ # 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