Journal of Computational Physics
An analysis of 3D particle path integration algorithms
Journal of Computational Physics
Total variation diminishing Runge-Kutta schemes
Mathematics of Computation
The Runge-Kutta discontinuous Galerkin method for conservation laws V multidimensional systems
Journal of Computational Physics
Solving Ordinary Differential Equations with Discontinuities
ACM Transactions on Mathematical Software (TOMS)
Reconstruction filters in computer-graphics
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Journal of Scientific Computing
Evaluation and Design of Filters Using a Taylor Series Expansion
IEEE Transactions on Visualization and Computer Graphics
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
Mathematics of Computation
Iconic Techniques for Feature Visualization
VIS '95 Proceedings of the 6th conference on Visualization '95
Enhanced Spot Noise for Vector Field Visualization
VIS '95 Proceedings of the 6th conference on Visualization '95
Virtual smoke: an interactive 3D flow visualization technique
VIS '92 Proceedings of the 3rd conference on Visualization '92
VIS '92 Proceedings of the 3rd conference on Visualization '92
A probe for local flow field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Texture splats for 3D scalar and vector field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Comparing 2D Vector Field Visualization Methods: A User Study
IEEE Transactions on Visualization and Computer Graphics
SIAM Journal on Scientific Computing
Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes
SIAM Journal on Scientific Computing
IEEE Transactions on Visualization and Computer Graphics
Journal of Scientific Computing
A scalable, efficient scheme for evaluation of stencil computations over unstructured meshes
SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
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The discontinuous Galerkin (DG) method continues to maintain heightened levels of interest within the simulation community because of the discretization flexibility it provides. One of the fundamental properties of the DG methodology and arguably its most powerful property is the ability to combine high-order discretizations on an inter-element level while allowing discontinuities between elements. This flexibility, however, generates a plethora of difficulties when one attempts to use DG fields for feature extraction and visualization, as most post-processing schemes are not designed for handling explicitly discontinuous fields. This work introduces a new method of applying smoothness-increasing, accuracy-conserving filtering on discontinuous Galerkin vector fields for the purpose of enhancing streamline integration. The filtering discussed in this paper enhances the smoothness of the field and eliminates the discontinuity between elements, thus resulting in more accurate streamlines. Furthermore, as a means of minimizing the computational cost of the method, the filtering is done in a one-dimensional manner along the streamline.