Multilevel Additive Methods for Elliptic Finite Element Problems (Classic Reprint) - Softcover

Inhaltsangabe

A practical guide to scalable elliptic finite element solvers using additive Schwarz methods.

This work presents a framework for overlapping-subregion Schwarz methods and shows how to build efficient solvers for variational problems in Hilbert spaces, with a focus on finite element discretizations.

• Learn how projection-based subspace decompositions lead to robust, parallelizable algorithms.
• See two-level and multilevel strategies that keep convergence rates steady as meshes grow.
• Explore connections to Yserentant’s hierarchical basis method and Bramble–Pasciak–Xu approaches.
• Understand how these methods apply to symmetric, positive definite elliptic problems in two and three dimensions, including practical implementation notes.

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