4 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…
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…
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…
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…