Wavelets and adaptive grids for the discontinuous Galerkin method

DOI10.1007/s11075-004-3626-9zbMath1068.65118OpenAlexW2148988555MaRDI QIDQ1776176

Jorge L. Díaz Calle, Sônia M. Gomes, Philippe Remy Bernard Devloo

Publication date: 20 May 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-004-3626-9

zbMATH Keywords

waveletsconservation lawsnumerical examplesadaptivitydiscontinuous Galerkin methoderror controlmesh refinementimplicit time integrationnonlinear Euler equationsupwind artificial diffusion

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (10)

A wavelet-free approach for multiresolution-based grid adaptation for conservation laws ⋮ Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations ⋮ Multiresolution analysis as a criterion for effective dynamic mesh adaptation -- a case study for Euler equations in the SAMR framework AMROC ⋮ An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions ⋮ An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form ⋮ An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions ⋮ Adaptive discontinuous Galerkin methods in multiwavelets bases ⋮ Adaptive multiresolution discontinuous Galerkin schemes for conservation laws: multi-dimensional case ⋮ Space-time adaptive multiresolution methods for hyperbolic conservation laws: Applications to compressible Euler equations ⋮ A high-order discontinuous Galerkin discretization with multiwavelet-based grid adaptation for compressible flows

Cites Work

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• Filter Bank Methods for Hyperbolic PDEs
• Multiresolution Schemes for the Numerical Solution of 2-D Conservation Laws I
• Multiresolution Representation of Data: A General Framework
• Second-generation wavelet collocation method for the solution of partial differential equations
• Multiresolution schemes for conservation laws

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