An adaptive moving mesh method with static rezoning for partial differential equations

DOI10.1016/S0898-1221(03)90187-8zbMath1051.65085OpenAlexW2100912073MaRDI QIDQ1879557

Shengtai Li, Linda R. Petzold, James M. Hyman

Publication date: 23 September 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90187-8

zbMATH Keywords

finite difference methodnumerical examplesBurgers equationcombustionmoving meshevolutionary systemsmultistep methodadaptive mesh methodInitial value problems\(h\)-\(r\) methodstatic rezone

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Combustion (80A25) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (14)

Numerical methods for tracking interfaces ⋮ Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations ⋮ Adaptive numerical simulation of traffic flow density ⋮ Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion ⋮ A numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growth ⋮ Moving mesh discontinuous Galerkin methods for PDEs with traveling waves ⋮ Improving the accuracy of LDG approximations on coarse meshes ⋮ Mesh redistribution strategies and finite element schemes for hyperbolic conservation laws ⋮ The geometry of r-adaptive meshes generated using optimal transport methods ⋮ Pointwise nonlinear scaling for reaction-diffusion equations ⋮ Efficient time integrators in the numerical method of lines ⋮ Adaptive numerical method for Burgers-type nonlinear equations ⋮ Adaptive mesh techniques for fronts in star formation ⋮ On the stability of mesh equidistribution strategies for time-dependent partial differential equations

Uses Software

• NKA

Cites Work

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