A high-order discontinuous Galerkin discretization with multiwavelet-based grid adaptation for compressible flows
DOI10.1007/s10915-014-9846-9zbMath1462.65141OpenAlexW2087213374MaRDI QIDQ2341109
Francesca Iacono, Siegfried Müller, Roland Schäfer, Nils Gerhard, Georg May
Publication date: 23 April 2015
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-014-9846-9
conservation lawsmultiresolution analysismultiwavelethigh-order methodsgrid adaptivitydiscontinuous Galerkin
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Euler equations (35Q31) Compressible Navier-Stokes equations (76N06)
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- Adaptive discontinuous Galerkin methods in multiwavelets bases
- An adaptive multiscale finite volume solver for unsteady and steady state flow computations
- Application of a fourth-order relaxation scheme to hyperbolic systems of conservation laws
- Adaptive mesh refinement for hyperbolic partial differential equations
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Local adaptive mesh refinement for shock hydrodynamics
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Low-dissipative high-order shock-capturing methods using characteristic-based filters
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Adaptive multiresolution schemes for shock computations
- Wavelets and adaptive grids for the discontinuous Galerkin method
- Discrete multi-resolution analysis and generalized wavelets
- Adaptive multiscale schemes for conservation laws
- Adaptive solution of partial differential equations in multiwavelet bases
- Adaptive multiresolution discontinuous Galerkin schemes for conservation laws: multi-dimensional case
- A high-order discontinuous Galerkin discretization with multiwavelet-based grid adaptation for compressible flows
- An Adaptive Multiwavelet-Based DG Discretization for Compressible Fluid Flow
- Adaptive multiresolution discontinuous Galerkin schemes for conservation laws
- A theory for multiresolution signal decomposition: the wavelet representation
- Theory of adaptive finite element methods: An introduction
- Ten Lectures on Wavelets
- A wavelet based space-time adaptive numerical method for partial differential equations
- A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
- Biorthogonal bases of compactly supported wavelets
- A multigrid adaptive mesh refinement strategy for 3D aerodynamic design
- Fully adaptive multiresolution finite volume schemes for conservation laws
- A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
- Multiresolution algorithms for the numerical solution of hyperbolic conservation laws
- Multiresolution Representation of Data: A General Framework
- Spectral/hp Element Methods for Computational Fluid Dynamics
- Wavelet methods for PDEs -- some recent developments