Foundations of Numerical PDEs

The Foundations of Numerical PDEs Workshop brings together researchers to discuss the latest advances in the numerical analysis of partial differential equations (PDEs). Focus topics of the workshop include

• Structure-preserving discretization of Hilbert complexes, including and generalizing FEEC (Finite Element Exterior Calculus) and offering a framework that unifies and extends traditional finite element methods, and forms the foundation of stable and robust numerical methods.
• Novel discretization techniques on polytopal meshes to improve flexibility, accuracy and efficiency of numerical methods for PDE-based multiphysics models in complex domains.
• Recent breakthroughs in the numerical modeling of wave propagation problems, including wave-number explicit analysis and wave-number robust numerical schemes.

The presentations at the workshop will address both theoretical developments, algorithmic challenges, and novel applications of numerical methods. This workshop will have natural connections the the other FoCM workshops “Geometric Integration and Computational Mechanics” and “Geometric Integration and Computational Mechanics”.