P-Multigrid Method for the Discontinuous Galerkin Discretization of Elliptic Problems

In this paper, we propose a W -cycle p -multigrid method for solving the p -version symmetric interior penalty discontinuous Galerkin (SIPDG) discretization of elliptic problems. This SIPDG discretization employs hierarchical Legendre polynomial basis functions. Inspired by the uniform convergence t...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 105; no. 3; p. 76
Main Authors:	Lei, Nuo, Zhang, Donghang, Zheng, Weiying
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2025 Springer Nature B.V
Subjects:	Algorithms Approximation Basis functions Computational Mathematics and Numerical Analysis Convergence Discretization Galerkin method Iterative methods Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical functions Mathematics Mathematics and Statistics Partial differential equations Polynomials Theoretical multigrid algorithm discontinuous Galerkin method elliptic problems polynomial smoother 65N55 65F08 65N30
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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