Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation

Liu C, Frank F, Rivière B (2019)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2019

Journal

DOI: 10.1002/num.22362

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.


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APA:

Liu, C., Frank, F., & Rivière, B. (2019). Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation. Numerical Methods For Partial Differential Equations. https://doi.org/10.1002/num.22362

MLA:

Liu, Chen, Florian Frank, and Béatrice Rivière. "Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation." Numerical Methods For Partial Differential Equations (2019).

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