A balancing domain decomposition by constraints preconditioner for a \(C^0\) interior penalty method

DOI10.1007/978-3-030-56750-7_39zbMATH Open1502.65237arXiv1811.06941OpenAlexW3123140312MaRDI QIDQ2100369

Author name not available (Why is that?)

Publication date: 21 November 2022

Abstract: We develop a nonoverlapping domain decomposition preconditioner for the

C^{0}

interior penalty method, a discontinuous Galerkin method, for the biharmonic problem. The preconditioner is based on balancing domain decomposition by constraints (BDDC). We prove that the condition number of the preconditioned system is bounded by

C (1 + l n (H / h))^{2}

, where

h

is the mesh size of the triangulation,

H

is the typical diameter of subdomains, and the positive constant

C

is independent of

h

and

H

. Numerical experiments are also represented to corroborate the theoretical result.

Full work available at URL: https://arxiv.org/abs/1811.06941

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