Error Estimates for a POD Method for Solving Viscous G-Equations in Incompressible Cellular Flows

DOI10.1137/19M1241854zbMath1469.65156arXiv1812.09853OpenAlexW3133412646MaRDI QIDQ5857628

Haotian Gu, Zhiwen Zhang, Jack X. Xin

Publication date: 1 April 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09853

zbMATH Keywords

PODconvergence analysiscellular flowsproper orthogonal decomposition methodHamilton-Jacobi-type equationfront speed computationviscous G-equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Combustion (80A25) Reaction effects in flows (76V05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Turbulent transport, mixing (76F25) Hamilton-Jacobi equations in mechanics (70H20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Hamilton-Jacobi equations (35F21)

Related Items (4)

An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations ⋮ A data-driven model reduction method for parabolic inverse source problems and its convergence analysis ⋮ A new approach to proper orthogonal decomposition with difference quotients ⋮ Unnamed Item

Uses Software

• redbKIT

Cites Work

• Unnamed Item
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