Nondissipative and energy-stable high-order finite-difference interface schemes for 2-D patch-refined grids

DOI10.1016/j.jcp.2009.04.010zbMath1168.65375OpenAlexW2149919761MaRDI QIDQ834078

D. I. Pullin, Carlos Pantano, Richard M. J. Kramer

Publication date: 19 August 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.04.010

zbMATH Keywords

adaptive mesh refinementhigh-order finite differencesummation by partsmesh interfacestable stencil

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (11)

Time-stable overset grid method for hyperbolic problems using summation-by-parts operators ⋮ Convergence of finite difference methods for the wave equation in two space dimensions ⋮ High order stable finite difference methods for the Schrödinger equation ⋮ A Cartesian-based embedded geometry technique with adaptive high-order finite differences for compressible flow around complex geometries ⋮ Smoothed boundary method for simulating incompressible flow in complex geometries ⋮ Stability at nonconforming grid interfaces for a high order discretization of the Schrödinger equation ⋮ Stable difference methods for block-oriented adaptive grids ⋮ Correcting for heterogeneity and non‐comparability bias in multicenter clinical trials with a rescaled random‐effect excess hazard model ⋮ Energy stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition ⋮ Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner ⋮ Most Likely Transformations

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