Mesh Density Functions Based on Local Bandwidth Applied to Moving Mesh Methods

DOI10.4208/cicp.OA-2016-0246zbMath1488.65300arXiv1612.04156OpenAlexW2562445416MaRDI QIDQ5158993

Ben T. Cox, Bradley E. Treeby, Elliott S. Wise

Publication date: 26 October 2021

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

Full work available at URL: https://arxiv.org/abs/1612.04156

zbMATH Keywords

pseudospectral methodbandwidthmoving mesh method

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (7)

Bandwidth-based mesh adaptation in multiple dimensions ⋮ A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws ⋮ An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh ⋮ An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation ⋮ Adaptive Anisotropic Unstructured Mesh Generation Method Based on Fluid Relaxation Analogy ⋮ Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems ⋮ Moving mesh finite difference solution of non-equilibrium radiation diffusion equations

Uses Software

• Chebfun

Cites Work

• Unnamed Item
• A robust moving mesh method for spectral collocation solutions of time-dependent partial differential equations
• Adaptive moving mesh methods
• Spectral implementation of an adaptive moving mesh method for phase-field equations
• An efficient algorithm for solving Hilbert type singular integral equations of the second kind
• An efficient moving mesh spectral method for the phase-field model of two-phase flows
• On the use of spectral methods for the numerical solution of stiff problems
• Some results on linear rational trigonometric interpolation
• A time-frequency training-based approach for robust classification of unknown transients with unknown arrival time and Doppler shift
• Local values in quantum mechanics.
• Adaptive pseudospectral solution of a diffuse interface model
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Conformal Maps to Multiply Slit Domains and Applications
• A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points
• Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
• Analysis of Moving Mesh Partial Differential Equations with Spatial Smoothing
• Pseudospectral Solution of Near-Singular Problems using Numerical Coordinate Transformations Based on Adaptivity
• Solving 0 = F(t, y(t), y′(t)) in Matlab
• Instantaneous spectral moments.

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