@inproceedings{5675e5d3d7cd4d9b8c97e5b52f3f457a,
title = "Robust One/Two-Grid Solver for Black-Box Software in the Computational Continuum Mechanics",
abstract = "We present and analyse a linear one/two-grid algorithm for solving boundary value problems in black-box manner on globally/locally structured and unstructured grids. The key ingredient of the new algorithm is Robust Multigrid Technique used on the auxiliary structured grid to minimize the number of problem-dependent components. The theoretical analysis predicts h-independent convergence of the solver with close-to-optimal algorithmic complexity. In addition, comparison with a basic one-grid algorithm (Vanka-type smoother) gives all extra problem-dependent components of the proposed approach.",
author = "Weixing Zhou and Sergey Martynenko",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 13th International Conference on Mesh Methods for Boundary-Value Problems and Applications, 2020 ; Conference date: 20-10-2020 Through 25-10-2020",
year = "2022",
doi = "10.1007/978-3-030-87809-2\_45",
language = "英语",
isbn = "9783030878085",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "597--608",
editor = "Badriev, \{Ildar B.\} and Victor Banderov and Lapin, \{Sergey A.\}",
booktitle = "Mesh Methods for Boundary-Value Problems and Applications - 13th International Conference, 2020",
address = "德国",
}