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Mathematics > Numerical Analysis

arXiv:2301.01426 (math)
[Submitted on 4 Jan 2023]

Title:Iterative two-level algorithm for nonsymmetric or indefinite elliptic problems

Authors:Ming Tang, Xiaoqing Xing, Ying Yang, Liuqiang Zhong
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Abstract:In this paper, a new iterative two-level algorithm is presented for solving the finite element discretization for nonsymmetric or indefinite elliptic problems. The iterative two-level algorithm uses the same coarse space as the traditional two-grid algorithm, but its ``fine space'' uses the higher oder finite element space under the coarse grid. Therefore, the iterative two-level algorithm only needs one grid, and the computational cost is much lower than the traditional iterative two-grid algorithm. Finally, compared with the traditional two-grid algorithm, numerical experiments show that the computational cost is lower to achieve the same convergence order.
Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)
Cite as: arXiv:2301.01426 [math.NA]
  (or arXiv:2301.01426v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2301.01426

Submission history

From: Ming Tang [view email]
[v1] Wed, 4 Jan 2023 03:40:45 UTC (43 KB)
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