Adaptive finite element methods are a modern, widely used tool which
make realistic computations feasible, even in three space dimensions.
We describe the basic ideas and ingredients of adaptive FEM and the
implementation of our toolbox \ALBERT. The design of \ALBERT is based
on the natural hierarchy of locally refined meshes and an abstract
concept of general finite element spaces. As a result, dimension
independent programming of applications is possible. Numerical results
from applications in two and three space dimensions demonstrate the
flexibility of \ALBERT.
%0 Conference Paper
%1 schmidt2001albert
%A Schmidt, Alfred
%A Siebert, Kunibert G.
%B Acta mathematica Universitatis Comenianae
%D 2001
%K fis ians liste
%N 70, 1
%P 105-122
%T ALBERT - Software for Scientific Computations and Applications
%X Adaptive finite element methods are a modern, widely used tool which
make realistic computations feasible, even in three space dimensions.
We describe the basic ideas and ingredients of adaptive FEM and the
implementation of our toolbox \ALBERT. The design of \ALBERT is based
on the natural hierarchy of locally refined meshes and an abstract
concept of general finite element spaces. As a result, dimension
independent programming of applications is possible. Numerical results
from applications in two and three space dimensions demonstrate the
flexibility of \ALBERT.
@inproceedings{schmidt2001albert,
abstract = {Adaptive finite element methods are a modern, widely used tool which
make realistic computations feasible, even in three space dimensions.
We describe the basic ideas and ingredients of adaptive FEM and the
implementation of our toolbox \ALBERT. The design of \ALBERT is based
on the natural hierarchy of locally refined meshes and an abstract
concept of general finite element spaces. As a result, dimension
independent programming of applications is possible. Numerical results
from applications in two and three space dimensions demonstrate the
flexibility of \ALBERT.},
added-at = {2019-06-17T14:25:24.000+0200},
author = {Schmidt, Alfred and Siebert, Kunibert G.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/25b313649e5f0c9e8ecb356c000081070/britsteiner},
eventdate = {2000-09-10/2000-09-15},
eventtitle = {Algoritmy 2000, Conference on Scientific Computing},
interhash = {74788ee0b0920392999a9346def54c9e},
intrahash = {5b313649e5f0c9e8ecb356c000081070},
issn = {0862-9544},
keywords = {fis ians liste},
language = {eng},
number = {70, 1},
pages = {105-122},
series = {Acta mathematica Universitatis Comenianae},
timestamp = {2019-06-17T12:34:15.000+0200},
title = {ALBERT - Software for Scientific Computations and Applications},
venue = {Podbanské},
year = 2001
}