Magic SIAC Toolbox: A Codebase of Effective, Efficient, and Flexible Filters
DOI10.1007/978-3-031-40864-9_5zbMath1529.65003MaRDI QIDQ6182843
No author found.
Publication date: 22 December 2023
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Numerical computation using splines (65D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) PDEs with randomness, stochastic partial differential equations (35R60) Numerical quadrature and cubature formulas (65D32) Software, source code, etc. for problems pertaining to numerical analysis (65-04)
Cites Work
- Unnamed Item
- Smoothness-increasing accuracy-conserving (SIAC) filtering and quasi-interpolation: a unified view
- One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes
- Smoothness-increasing accuracy-conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries
- Fourier analysis for discontinuous Galerkin and related methods
- Family of spectral filters for discontinuous problems
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- Shock regularization with smoothness-increasing accuracy-conserving Dirac-delta polynomial kernels
- Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
- Residual estimates for post-processors in elliptic problems
- Capitalizing on superconvergence for more accurate multi-resolution discontinuous Galerkin methods
- Enhancing accuracy with a convolution filter: what works and why!
- Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach
- Julia: A Fresh Approach to Numerical Computing
- Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions
- Higher Order Local Accuracy by Averaging in the Finite Element Method
- The computation of discontinuous solutions of linear hyperbolic equations
- High Order Local Approximations to Derivatives in the Finite Element Method
- A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
- 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
- Enhanced MultiResolution Analysis for MultiDimensional Data Utilizing Line Filtering Techniques
- Superconvergence of spectral collocation and $p$-version methods in one dimensional problems
- Multi-Dimensional Filtering: Reducing the Dimension Through Rotation
- Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations
This page was built for publication: Magic SIAC Toolbox: A Codebase of Effective, Efficient, and Flexible Filters