Modern C++ design: generic programming and design patterns applied
Modern C++ design: generic programming and design patterns applied
C++ Template Metaprogramming: Concepts, Tools, and Techniques from Boost and Beyond (C++ in Depth Series)
Optimizing the Evaluation of Finite Element Matrices
SIAM Journal on Scientific Computing
Efficient representation of computational meshes
International Journal of Computational Science and Engineering
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In the area of scientific computing, abstraction was long said to be achievable only in exchange for run time efficiency. With the rise of template metaprogramming [1] in C++ in the 1990s, run time efficiency comparable to hand tuned code could be achieved for isolated operations such as matrix-vector multiplication [2]. In more complex scenarios such as large finite element simulation packages, traditional object oriented programming is used for most abstractions, so the resulting code usually suffers from reduced run time efficiency. We have applied rigorous template metaprogramming to both the mesh handling and the mathematical algorithms acting on top, and obtain a high level of abstraction at a run time efficiency comparable to that of hand-tuned code. Since the weak formulation of the underlying mathematical problem is directly transferred to code, the code effectively meets the abstraction of the mathematical description, including an eventual independence from the underlying spatial dimension.