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ALBERT—Software for scientific computations and applications. (English) Zbl 0993.65134
Summary: Adaptive finite element methods (FEMs) 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.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74S05 Finite element methods applied to problems in solid mechanics
76M10 Finite element methods applied to problems in fluid mechanics
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65Y15 Packaged methods for numerical algorithms
68W30 Symbolic computation and algebraic computation
Software:
ALBERT
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