The Mathematical Theory of Finite Element Methods

Brenner, S. C., & Scott, L. R. (2008). The Mathematical Theory of Finite Element Methods. Springer.

Type

Book

Intellectual base

Review or monograph

Year

2008

DOI

10.1007/978-0-387-75934-0

ISBN

9780387759333

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-0-387-75934-0

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Energetic Space
  • Energy orthogonality and Céa's lemma bound ‖u−uh‖E by the best approximation error, up to continuity/coercivity constants

    This sourceThe standard reference for Galerkin orthogonality and the Céa quasi-optimality estimate in the energy norm of a coercive variational problem.

    SupportedVerified against the source

    Read by an automated reader; not a human review. How support was checked

• Finite Element Method
  • Brenner and Scott treat finite element spaces, polynomial approximation, variational problems, adaptive meshes, mixed methods, and solver theory as a unified mathematical family.
• Unisolvent functions
  • Unisolvency makes interpolation well posed and depends jointly on the function space, node domain, admissible node configurations, and basis-independent rank of the evaluation map.

Verification

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