Non-uniform knot (NUK) SIAC post-processing of flow fields produced through unstructured grid adaptation and optimization

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

Unnamed Item
Smoothness-increasing accuracy-conserving (SIAC) filtering and quasi-interpolation: a unified view
Smoothness-increasing accuracy-conserving (SIAC) filters for discontinuous Galerkin solutions: application to structured tetrahedral meshes
One-sided smoothness-increasing accuracy-conserving filtering for enhanced streamline integration through discontinuous fields
Quantification of errors introduced in the numerical approximation and implementation of smoothness-increasing accuracy conserving (SIAC) filtering of discontinuous Galerkin (DG) fields
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
Local derivative post-processing for the discontinuous Galerkin method
Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions: improved errors versus higher-order accuracy
Efficient implementation of smoothness-increasing accuracy-conserving (SIAC) filters for discontinuous Galerkin solutions
General spline filters for discontinuous Galerkin solutions
Anisotropic mesh adaptation for continuous finite element discretization through mesh optimization via error sampling and synthesis
Smoothness-increasing accuracy-conserving (SIAC) filtering for discontinuous Galerkin solutions over nonuniform meshes: superconvergence and optimal accuracy
Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and \(k-\omega\) turbulence model equations
An optimization-based framework for anisotropic simplex mesh adaptation
High-order sonic boom modeling based on adaptive methods
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions
Smoothness-Increasing Accuracy-Conserving (SIAC) Postprocessing for Discontinuous Galerkin Solutions over Structured Triangular Meshes
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions
An optimal control approach to a posteriori error estimation in finite element methods
Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Solutions over Unstructured Triangular Meshes
Multi-Dimensional Filtering: Reducing the Dimension Through Rotation

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