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

Dryja, Maksymilian

 
9781333584351: Multilevel Additive Methods for Elliptic Finite Element Problems (Classic Reprint)

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.
Ideal for readers who want a solid, implementation-friendly introduction to additive Schwarz multilevel methods for scalable PDE solvers.

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9780656443376: Multilevel Additive Methods for Elliptic Finite Element Problems (Classic Reprint)

Vorgestellte Ausgabe

ISBN 10:  0656443375 ISBN 13:  9780656443376
Verlag: Forgotten Books, 2018
Hardcover