Casquero Research Group
Our research is focused on developing accurate, robust, and efficient computational methods and using them to solve open problems in fluid mechanics, solid mechanics, fluid-structure interaction, biomechanics, and multiphysics. The overarching theme of our computational methods is to solve partial differential equations exploiting the new advantages that splines bring to computational mechanics. Our research group is particularly interested in developing computational frameworks for real-world applications in which experimental measurement of the quantities of interest is too costly or not currently available. Current research activities in our group include achieving a seamless integration between design and analysis of thin-walled structures, studying the dynamics of vesicles, capsules, red blood cells, and droplets under different types of flow, and developing structure-preserving spline discretizations of magnetohydrodynamics to solve problems in fusion energy.