ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 70, 1 (2001)
pp. 105-122
ALBERT - SOFTWARE FOR SCIENTIFIC COMPUTATIONS
AND APPLICATION
A. SCHMIDT and K. G. SIEBERT
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.
AMS subject classification.
Primary 65N30, 65N50, 65Y1
Keywords.
Adaptive finite element methods, scientific software, software design
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Acta Mathematica Universitatis Comenianae
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