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Explore a conference talk from FerriteCon 2025 where Knut Andreas Meyer from Chalmers University of Technology presents the implementation of true vector interpolations in Ferrite.jl. Learn about the significant enhancement that adds H(div) and H(curl) interpolation spaces to the Julia-based finite element framework, expanding its capabilities for solving complex vector field problems. Discover the fundamental concepts of vector interpolations and understand why classical Lagrange interpolations may be insufficient for certain partial differential equations, particularly in electromagnetic and fluid dynamics applications. Examine the motivation behind implementing divergence-conforming and curl-conforming spaces, and see how these advanced interpolation methods enable Ferrite.jl to correctly handle Maxwell equations and mixed finite element formulations. Understand the technical integration of these vector spaces into the Ferrite.jl framework, including their impact on core structures like FEValues, and gain insights into when and why these specialized interpolation spaces are essential in practical finite element analysis. This presentation is valuable for both users and developers of Ferrite.jl who want to leverage advanced finite element spaces, extend the package to new physics domains, and stay informed about the evolving capabilities of this Julia-based scientific computing tool.
