@inproceedings{d000e023577b456db42022e11debf037,
title = "Rational Approximation Preconditioners for Multiphysics Problems",
abstract = "We consider a class of mathematical models describing multiphysics phenomena interacting through interfaces. On such interfaces, the traces of the fields lie (approximately) in the range of a weighted sum of two fractional differential operators. We use a rational function approximation to precondition such operators. We first demonstrate the robustness of the approximation for ordinary functions given by weighted sums of fractional exponents. Additionally, we present more realistic examples utilizing the proposed preconditioning techniques in interface coupling between Darcy and Stokes equations.",
author = "Ana Budi{\v s}a and Xiaozhe Hu and Miroslav Kuchta and Mardal, {Kent Andr{\'e}} and Ludmil Zikatanov",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 10th International Conference on Numerical Methods and Applications, NMA 2022 ; Conference date: 22-08-2022 Through 26-08-2022",
year = "2023",
doi = "10.1007/978-3-031-32412-3_9",
language = "English (US)",
isbn = "9783031324116",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "100--113",
editor = "Ivan Georgiev and Maria Datcheva and Krassimir Georgiev and Geno Nikolov",
booktitle = "Numerical Methods and Applications - 10th International Conference, NMA 2022, Proceedings",
address = "Germany",
}