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

Numerical Methods For Partial Differential Equations Wiley-Blackwell

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.


Authors with CRIS profile

Florian Frank Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Rice University US United States (USA) (US)

How to cite

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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