A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving

In the second part of this series, we use Lagrange multiplier approach proposed in first [Comput. Methods Appl. Mech. Engr., 391 (2022), 114585] to construct efficient and accurate bound and/or mass preserving schemes for a class semilinear quasi-linear parabolic equations. We establish stability results under general setting carry out an error analysis second-order scheme with hybrid spectral discretization space. apply our several typical PDEs which preserve also present ample numerical validate approach.