Design of Adaptive Finite Element Software
The Finite Element Toolbox ALBERTA
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Beschreibung
During the last years, scientific computing has become an important research branch located between applied mathematics and applied sciences and engineering. Highly efficient numerical methods are based on adaptive methods, higher order discretizations, fast linear and non-linear iterative solvers, multi-level algorithms, etc. Such methods are integrated in the adaptive finite element software ALBERTA. It is a toolbox for the fast and flexible implementation of efficient software for real life applications, based on modern algorithms. ALBERTA also serves as an environment for improving existent, or developing new numerical methods in an interplay with mathematical analysis and it allows the direct integration of such new or improved methods in existing simulation software.
Includes supplementary material: sn.pub/extras
Autor*in
Alfred Schmidt
Themen in »Design of Adaptive Finite Element Software«
Mathematica adaptive finite element method algorithm algorithms design elliptic and parabolic problems finite element method finite element software mathematics numerical methods scientific computing simulation software
Stimmen zu »Design of Adaptive Finite Element Software«
From the reviews of the first edition:"The authors developed the toolbox ALBERTA to provide routines for most of the tasks one needs to implement finite element algorithms. The modules contained in ALBERTA are documented in great detail in this monograph … . All routines are written in ANSI-C and well documented … . This monograph can be recommended to all scientists who are interested in applications of finite elements on computers … ." (Christian Grossmann, Zentralblatt MATH, Vol. 1068, 2005)
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