296 citations · 1.4k across the 65 of their papers we have counts for
69 papers
Structure preservation using discrete gradients in the Vlasov-Poisson-Landau system
Daniel S. Finn, Joseph V. Pusztay, Matthew G. Knepley +1
We present a novel structure-preserving framework for solving the Vlasov-Poisson-Landau system of equations using a particle in cell (PIC) discretization combined with discrete gra…
Transformations of Computational Meshes
Matthew G. Knepley
Computational meshes, as a way to partition space, form the basis of much of PDE simulation technology, for instance for the finite element and finite volume discretization methods…
A projection method for particle resampling
Mark F. Adams, Daniel S. Finn, Matthew G. Knepley +1
Particle discretizations of partial differential equations are advantageous for high-dimensional kinetic models in phase space due to their better scalability than continuum approa…
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations
David A. Ham, Vaclav Hapla, Matthew G. Knepley +2
In this work, we introduce a new algorithm for N-to-M checkpointing in finite element simulations. This new algorithm allows efficient saving/loading of functions representing phys…
A one-dimensional mathematical model for shear-induced droplet formation in co-flowing fluids
Darsh Nathawani, Matthew Knepley
Shear-induced droplet formation is important in many industrial applications, primarily focusing on droplet sizes and pinch-off frequency. We propose a one-dimensional mathematical…
Droplet formation simulation using mixed finite elements
Darsh Nathawani, Matthew Knepley
Droplet formation happens in finite time due to the surface tension force. The linear stability analysis is useful to estimate droplet size but fails to approximate droplet shape.…