The Hybrid High-Order Method for Polytopal Meshes

Focusing on the design and analysis of Hybrid High-Order methods for diffusive problems, this monograph highlights their innovative features, such as support for polytopal meshes and arbitrary approximation orders across dimensions. It emphasizes the methods' enhanced compliance with physical principles and their efficiency, achieved through compact stencils and static condensation. Additionally, the book showcases applications in advanced computational mechanics, illustrating the practical benefits of these next-generation numerical techniques for partial differential equations.