An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations
Numerical Analysis
2014-01-23 v1
Abstract
We introduce a multitree-based adaptive wavelet Galerkin algorithm {for} space-time discretized linear parabolic partial differential equations, focusing on time-periodic problems. It is shown that the method converges with the best possible rate in linear complexity and can be applied for a wide range of wavelet bases. We discuss the implementational challenges arising from the Petrov-Galerkin nature of the variational formulation and present numerical results for the heat and a convection-diffusion-reaction equation.
Cite
@article{arxiv.1401.5782,
title = {An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations},
author = {Sebastian Kestler and Kristina Steih and Karsten Urban},
journal= {arXiv preprint arXiv:1401.5782},
year = {2014}
}