activity
20142023
most citedMultiwavelet troubled-cell indicator for discontinuity detection of discontinuous Galerkin schemes

57 citations · 105 across the 8 of their papers we have counts for

collaborators

8 papers

math.NA2023

Denoising Particle-In-Cell Data via Smoothness-Increasing Accuracy-Conserving Filters with Application to Bohm Speed Computation

Matthew J. Picklo, Qi Tang, Yanzeng Zhang +2

The simulation of plasma physics is computationally expensive because the underlying physical system is of high dimensions, requiring three spatial dimensions and three velocity di…

math.NA2022

Superconvergence and accuracy enhancement of discontinuous Galerkin solutions for Vlasov-Maxwell equations

Andrés Galindo-Olarte, Juntao Huang, Jennifer K. Ryan +1

This paper considers the discontinuous Galerkin (DG) methods for solving the Vlasov-Maxwell (VM) system, a fundamental model for collisionless magnetized plasma. The DG methods pro…

math.NA2021

Enhanced Multi-Resolution Analysis for Multi-Dimensional Data Utilizing Line Filtering Techniques

Matthew J. Picklo, Jennifer K. Ryan

In this article we introduce Line Smoothness-Increasing Accuracy-Conserving Multi-Resolution Analysis\linebreak (LSIAC-MRA). This is a procedure for exploiting convolution kernel p…

math.NA2019★ 11 cited

Residual estimates for post-processors in elliptic problems

Andreas Dedner, Jan Giesselmann, Tristan Pryer +1

In this work we examine a posteriori error control for post-processed approximations to elliptic boundary value problems. We introduce a class of post-processing operator that `twe…

math.NA2016

Multi-dimensional filtering: Reducing the dimension through rotation

Julia Docampo Sánchez, Jennifer K. Ryan, Mahsa Mirzargar +1

Over the past few decades there has been a strong effort towards the development of Smoothness-Increasing Accuracy-Conserving (SIAC) filters for Discontinuous Galerkin (DG) methods…

math.NA2016

Superconvergence properties of an upwind-biased discontinuous Galerkin method

Daniel Frean, Jennifer Ryan

In this paper we investigate the superconvergence properties of the discontinuous Galerkin method based on the upwind-biased flux for linear time-dependent hyperbolic equations. We…

math.NA2015★ 37 cited

Automated parameters for troubled-cell indicators using outlier detection

Mathea J. Vuik, Jennifer K. Ryan

In Vuik and Ryan (2014) we studied the use of troubled-cell indicators for discontinuity detection in nonlinear hyperbolic partial differential equations and introduced a new multi…

math.NA2014★ 57 cited

Multiwavelet troubled-cell indicator for discontinuity detection of discontinuous Galerkin schemes

Mathea J. Vuik, Jennifer K. Ryan

In this paper, we introduce a new global troubled-cell indicator for the discontinuous Galerkin (DG) method in one- and two-dimensions. This is done by taking advantage of the glob…