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Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation.
- Source :
-
Numerical Methods for Partial Differential Equations . Jul2019, Vol. 35 Issue 4, p1509-1537. 29p. - Publication Year :
- 2019
-
Abstract
- In this paper, we derive a theoretical analysis of nonsymmetric interior penalty discontinuous Galerkin methods for solving the Cahn–Hilliard equation. We prove unconditional unique solvability of the discrete system and derive stability bounds with a generalized chemical energy density. Convergence of the method is obtained by optimal a priori error estimates. Our analysis is valid for both symmetric and nonsymmetric versions of the discontinuous Galerkin formulation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0749159X
- Volume :
- 35
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Numerical Methods for Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 135896609
- Full Text :
- https://doi.org/10.1002/num.22362