A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints

A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints

Year:    2023

Author:    Yanrong Zhang, Jie Shen

East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 3 : pp. 550–575

Abstract

In this paper, we develop a class of efficient and accurate numerical schemes for general dissipative systems with global constraints. The schemes are based on the relaxed generalized SAV approach and the Lagrange multiplier approach, and enjoy many advantages such as solving only one linear system with constant coefficients and one nonlinear algebraic system for the Lagrange multipliers. Besides, the schemes preserve global constraints and are unconditionally energy stable with a modified energy, which is equal to the original energy in most cases. We present applications of the R-GSAV/LM approach to a variety of problems to demonstrate its effectiveness and advantages compared with existing approaches.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.2022-307.090123

East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 3 : pp. 550–575

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    SAV dissipative system with global constraints Lagrange multiplier stability.

Author Details

Yanrong Zhang

Jie Shen

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