This repository contains the source code for the Finite Element simulations, and a Mathematica notebook that illustrates analytic calculations, for the article "Enzyme-Enriched Condensates Show Self-Propulsion, Positioning, and Coexistence" published in Physical Review Letters 130, 128401. File Description AnalyticCalculations-1d.nb Mathematica notebook that illustrates the analytical calculations. steady_state_1d_droplet.zip Source code and data for 1D FEM simulations of a droplet in steady state. self_propulsion_instability.zip Source code and data for FEM simulations of a self-propelling droplet. self_centering_and_oscillations.zip Source code and data for FEM simulations of a droplet in a finite-sized container. Depending on the parameters, the droplet either shows oscillatory motion or relaxes to the center of the container. coexistence.zip Source code and data for FEM simulations that show coexistence of multiple droplets. elongation.zip Source code and data for FEM simulations of a droplet that shows a shape instability and elongates. division.zip Source code and data for FEM simulations of a dividing droplet. scaffold_proteins.zip Source code and data for FEM simulations for a droplet that, instead of enzymes alone, consists of a scaffold protein that attracts enzymes.