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math.NA2026
A Convergent Reaction-Drift-Diffusion Master Equation with Interaction Potentials
Max Heldman, Samuel A. Isaacson
We extend the convergent reaction-diffusion master equation (CRDME) framework on unstructured grids to include two-body interaction potentials between particles. Such interactions…
math.NA2024
A monotone finite element method for reaction-drift-diffusion equations with discontinuous reaction coefficients
Max Heldman
We prove an abstract convergence result for a family of dual-mesh based quadrature rules on tensor products of simplical meshes. In the context of the multilinear tensor-product fi…
math.NA2023
Scalable Implicit Solvers with Dynamic Mesh Adaptation for a Relativistic Drift-Kinetic Fokker-Planck-Boltzmann Model
Johann Rudi, Max Heldman, Emil M. Constantinescu +2
In this work we consider a relativistic drift-kinetic model for runaway electrons along with a Fokker-Planck operator for small-angle Coulomb collisions, a radiation damping operat…