An Additive Schwarz Method for the P-Version Finite Element Method (Classic Reprint) - Softcover

Inhaltsangabe

Learn a practical method for speeding up complex finite element calculations with the additive Schwarz approach, tailored for p-version elements.

This book presents how to apply the additive Schwarz method to a two- and three-dimensional model problem using square and brick-shaped elements. It explains the mathematical framework, including the discretization with high-degree polynomials and the construction of local subspaces that improve solver performance without sacrificing accuracy.

- See how subdomain projections are defined and used to split the problem into manageable pieces
- Understand error bounds and convergence results that hold uniformly as the polynomial degree increases
- Follow the step-by-step development from the two-dimensional case to three dimensions
- Explore the practical implications for preconditioning in p-version finite element methods

Ideal for engineers and researchers working on scalable solvers for high-order finite element problems who want a rigorous, implementable path to faster computations.

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