The Hybrid High-Order Method for Polytopal Meshes

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The book introduces Hybrid High-Order methods for addressing diffusive problems in computational mechanics, highlighting their innovative features compared to traditional numerical methods. Key aspects include the ability to utilize polytopal meshes with non-star-shaped elements, support for various approximation orders across dimensions, and improved physical compliance. Additionally, these methods offer reduced computational costs through compact stencils and static condensation, making them a significant advancement in the field of partial differential equations.