High-order, multidimensional, and conservative coarse-fine interpolation for adaptive mesh refinement

DOI10.1016/J.CMA.2011.07.009zbMath1230.76044OpenAlexW2096566029MaRDI QIDQ660313

Qinghai Zhang

Publication date: 1 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.07.009

zbMATH Keywords

adaptive mesh refinementdiffusion equationcoarse\texttt{MATLAB}\texttt{AMRCFI}constrained least squarefine interpolationprincipal latticethe convection

Mathematics Subject Classification ID

Related Items (3)

High-order finite-volume solutions of the steady-state advection-diffusion equation with nonlinear Robin boundary conditions ⋮ A fourth-order approximate projection method for the incompressible Navier-Stokes equations on locally-refined periodic domains ⋮ MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semialgebraic Sets

Uses Software

• Matlab
• AMRCFI

Cites Work

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• A high-order finite-volume method for conservation laws on locally refined grids
• Handling solid-fluid interfaces for viscous flows: explicit jump approximation vs. ghost cell approaches
• HyPAM: A hybrid continuum-particle model for incompressible free-surface flows
• A new interface tracking method: the polygonal area mapping method
• A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions
• A Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation
• On Lattices Admitting Unique Lagrange Interpolations
• A Multigrid Tutorial, Second Edition
• On a Class of Finite Elements Generated by Lagrange Interpolation

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