The adaptive finite element method

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The adaptive finite element method

Computer simulations of many physical phenomena rely on approximations by models with a finite number of unknowns. The number of these parameters determines the computational effort needed for the simulation. On the other hand, a larger number of unknowns can improve the precision of the simulation. The adaptive finite element method (AFEM) is an algorithm for optimizing the choice of parameters so accurate simulation results can be obtained with as little computational effort as possible. 

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Mathematical subjects

Numerics and Scientific Computing

Connections to other fields

Engineering and Technology


Dietmar Gallistl
Senior Editor:
Carla Cederbaum
Junior Editor:
Andrew Cooper


DOI (Digital Object Identifier)



snapshots: overview

Mathematical subjects

Algebra and Number Theory
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Humanities and Social Sciences
Life Science
Reflections on Mathematics

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