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

DOI10.1137/21M144877XzbMath1491.65110arXiv2109.12479OpenAlexW3187402050MaRDI QIDQ5080495

Jie Shen, Qing Cheng

Publication date: 31 May 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12479

zbMATH Keywords

stabilitymass conservationLagrange multipliererror analysisKKT conditionsbound preserving

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

Length Preserving Numerical Schemes for Landau–Lifshitz Equation Based on Lagrange Multiplier Approaches ⋮ Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes ⋮ A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion ⋮ A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints ⋮ A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility ⋮ Lack of robustness and accuracy of many numerical schemes for phase-field simulations ⋮ Superconvergence of projection integrators for conservative system ⋮ Arbitrarily high-order energy stable \(s\)-stage RK-IEQ scheme for the nonlocal Cahn-Hilliard equation ⋮ An efficient bound-preserving and energy stable algorithm for compressible gas flow in porous media

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