ALBERTA is an Adaptive multiLevel finite element toolbox using Bisectioning
refinement and Error control by Residual Techniques for scientific
Applications. Its design is based on appropriate data structures
holding geometrical, finite element, and algebraic information. Using
such data structures, abstract adaptive methods for stationary and
time dependent problems, assembly tools for discrete systems, and
dimension dependent tasks like mesh modifications can be provided
in a library. This allows dimension-independent development and programming
of a general class of applications. In ALBERTA, hierarchical 2d and
3d meshes are stored in binary trees. Several sets of finite elements
can be used on the same mesh, either using predefined ones, or by
adding new sets for special applications. Depending on the currently
used finite element spaces, all degrees of freedom are automatically
managed during mesh modifications.
%0 Journal Article
%1 schmidt1999abstract
%A Schmidt, Alfred
%A Siebert, Kunibert G.
%D 1999
%K fis ians liste
%N 1
%P 49-52
%T Abstract data structures for a finite element package : Design principles of ALBERTA
%V 79
%X ALBERTA is an Adaptive multiLevel finite element toolbox using Bisectioning
refinement and Error control by Residual Techniques for scientific
Applications. Its design is based on appropriate data structures
holding geometrical, finite element, and algebraic information. Using
such data structures, abstract adaptive methods for stationary and
time dependent problems, assembly tools for discrete systems, and
dimension dependent tasks like mesh modifications can be provided
in a library. This allows dimension-independent development and programming
of a general class of applications. In ALBERTA, hierarchical 2d and
3d meshes are stored in binary trees. Several sets of finite elements
can be used on the same mesh, either using predefined ones, or by
adding new sets for special applications. Depending on the currently
used finite element spaces, all degrees of freedom are automatically
managed during mesh modifications.
@article{schmidt1999abstract,
abstract = {ALBERTA is an Adaptive multiLevel finite element toolbox using Bisectioning
refinement and Error control by Residual Techniques for scientific
Applications. Its design is based on appropriate data structures
holding geometrical, finite element, and algebraic information. Using
such data structures, abstract adaptive methods for stationary and
time dependent problems, assembly tools for discrete systems, and
dimension dependent tasks like mesh modifications can be provided
in a library. This allows dimension-independent development and programming
of a general class of applications. In ALBERTA, hierarchical 2d and
3d meshes are stored in binary trees. Several sets of finite elements
can be used on the same mesh, either using predefined ones, or by
adding new sets for special applications. Depending on the currently
used finite element spaces, all degrees of freedom are automatically
managed during mesh modifications.},
added-at = {2019-06-17T14:25:24.000+0200},
author = {Schmidt, Alfred and Siebert, Kunibert G.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/27bec838aaa13053cc24e1fb26708df5a/britsteiner},
interhash = {e7411c63ac6cafc45cd62a4d575d28f0},
intrahash = {7bec838aaa13053cc24e1fb26708df5a},
issn = {1521-4001},
journalsubtitle = {ZAMM},
journaltitle = {Zeitschrift für angewandte Mathematik und Mechanik},
keywords = {fis ians liste},
number = 1,
pages = {49-52},
timestamp = {2019-06-17T12:34:15.000+0200},
title = {Abstract data structures for a finite element package : Design principles of ALBERTA},
volume = 79,
year = 1999
}
