TY - JOUR
T1 - A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints
AU - Zhang , Yanrong
AU - Shen , Jie
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 550
EP - 575
PY - 2023
DA - 2023/05
SN - 13
DO - http://doi.org/10.4208/eajam.2022-307.090123
UR - https://global-sci.org/intro/article_detail/eajam/21722.html
KW - SAV, dissipative system with global constraints, Lagrange multiplier, stability.
AB - <p style="text-align: justify;">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.</p>