A grid redistribution method for singular problems

DOI10.1016/j.jcp.2008.11.035zbMath1166.65370OpenAlexW1968365093MaRDI QIDQ1008851

Adi Ditkowski, Nir Gavish

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.11.035

zbMATH Keywords

grid generationsingular problemsiterative grid redistribution (IGR)nonlinear Schrödinger (NLS)

Mathematics Subject Classification ID

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

Related Items (5)

A hybrid asymptotic and augmented compact finite volume method for nonlinear singular two point boundary value problems ⋮ Singular standing-ring solutions of nonlinear partial differential equations ⋮ Blow-up dynamics in the mass super-critical NLS equations ⋮ An adaptive coupling method for exterior anisotropic elliptic problems ⋮ A natural BEM with non-uniform grids on the elliptic boundary and its coupling method

Cites Work

• Unnamed Item
• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Singular ring solutions of critical and supercritical nonlinear Schrödinger equations
• Theory of singular vortex solutions of the nonlinear Schrödinger equation
• Local adaptive mesh refinement for shock hydrodynamics
• Computer simulation of wave collapses in the nonlinear Schrödinger equation
• New self-similar solutions of the nonlinear Schrödinger equation with moving mesh computations
• Moving mesh methods based on moving mesh partial differential equations
• An adaptive method of lines solution of the Korteweg-de Vries equation
• Some observations on a static spatial remeshing method based on equidistribution principles
• A three-dimensional adaptive method based on the iterative grid redistribution
• An iterative grid redistribution method for singular problems in multiple dimensions
• A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics
• Existence and stability of a solution blowing up on a sphere for an \(L^2\)-supercritical nonlinear Schrödinger equation
• New singular solutions of the nonlinear Schrödinger equation
• Moving Mesh Methods for Problems with Blow-Up
• On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
• An efficient dynamically adaptive mesh for potentially singular solutions

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