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Analysis Tools

  • Pavel B. Bochev
  • Max D. Gunzburger
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 166)

This appendix provides a brief summary of definitions and facts about basic function spaces arising in the study of many partial differential equations (PDEs). Our main focus is on standard Sobolev spaces as well as some Hilbert spaces related to the gradient, curl, and divergence operators because these spaces are the most relevant ones to the subject matter of the book, namely the numerical solution of PDEs by least-squares finite element methods (LSFEMs). For more comprehensive treatments of the various function spaces arising in the theory of PDEs, see, e.g., [1, 17, 183, 187, 250, 265, 304, 331, 342].

Keywords

Sobolev Space Function Space Weighted Space Weak Operator Weighted Sobolev Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Sandia National LaboratoriesApplied Mathematics and Applications MS 1320AlbuquerqueUSA
  2. 2.Florida State UniversityDepartment of Scientific ComputingTallahasseeUSA

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