Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques
DOI10.1137/21M144013XzbMath1497.65179arXiv2108.05769OpenAlexW3189854833MaRDI QIDQ5099868
Matthew J. Picklo, Jennifer K. Ryan
Publication date: 26 August 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.05769
multiresolution analysismultiwaveletfilteringpostprocessingerror reductionaccuracy enhancementSIAC filtering
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 (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement
- One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes
- Local derivative post-processing for the discontinuous Galerkin method
- A practical guide to splines
- Discrete multi-resolution analysis and generalized wavelets
- Adaptive multiscale schemes for conservation laws
- Adaptive solution of partial differential equations in multiwavelet bases
- A wavelet Galerkin method for the Stokes equations
- Negative-order norm estimates for nonlinear hyperbolic conservation laws
- Residual estimates for post-processors in elliptic problems
- A wavelet-free approach for multiresolution-based grid adaptation for conservation laws
- Capitalizing on superconvergence for more accurate multi-resolution discontinuous Galerkin methods
- Enhancing accuracy with a convolution filter: what works and why!
- Adaptive multiresolution discontinuous Galerkin schemes for conservation laws
- Wavelet Methods in Computational Fluid Dynamics
- Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions
- Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions
- A theory for multiresolution signal decomposition: the wavelet representation
- A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
- Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem
- Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
- Multi-Dimensional Filtering: Reducing the Dimension Through Rotation
This page was built for publication: Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques
