no. 5
C++ tools to construct our user-level language
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 5, pp. 809-836.

The aim of this paper is to present how to make a dedicaded computed language polymorphic and multi type, in C++to solve partial differential equations with the finite element method. The driving idea is to make the language as close as possible to the mathematical notation.

DOI : https://doi.org/10.1051/m2an:2002034
Classification : 68N15,  78M10,  80M10
Mots clés : finite element method, grammars, languages 
@article{M2AN_2002__36_5_809_0,
     author = {Hecht, Fr\'ed\'eric},
     title = {C++ tools to construct our user-level language},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     pages = {809--836},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {5},
     year = {2002},
     doi = {10.1051/m2an:2002034},
     zbl = {1039.68027},
     mrnumber = {1955537},
     language = {en},
     url = {archive.numdam.org/item/M2AN_2002__36_5_809_0/}
}
Hecht, Frédéric. C++ tools to construct our user-level language. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 5, pp. 809-836. doi : 10.1051/m2an:2002034. http://archive.numdam.org/item/M2AN_2002__36_5_809_0/

[1] D. Bernardi, F. Hecht, K. Ohtsuka and O. Pironneau, freefem+ documentation. http://www-rocq.inria.fr/Frederic. Hecht/freefem+.htm

[2] P.G. Ciarlet, Basic error estimates for elliptic problems, in Handbook of Numerical Analysis, Vol. II, P.G. Ciarlet and J.-L. Lions Eds., North-Holland (1991) 17-351. | Zbl 0875.65086

[3] C. Donnelly and R. Stallman, Bison documentation. http://www.gnu.org/bison

[4] P. Frey and P.L. George, Automatic triangulation. Wiley (1996).

[5] F. Hecht, The mesh adapting software: bamg. http://www-rocq.inria.fr/gamma/cdrom/www/bamg/eng.htm INRIA (1998).

[6] F. Hecht and O. Pironneau, freefem++ Manual. http://www-rocq.inria.fr/Frederic.Hecht/freefem++.htm

[7] P. Joly and M. Vidrascu, Quelques méthodes classique de résolution de systèmes linèaires. Collection didactique, INRIA (1994).

[8] J.L. Lions and O. Pironneau, Domain decomposition methods for CAD. C. R. Acad. Sci. Paris Sér. I Math. 328 (1999) 73-80. | Zbl 0937.68140

[9] B. Lucquin and O. Pironneau, Scientific Computing for Engineers. Wiley (1998). | MR 1627818

[10] O. Pironneau, Méthodes des Žéléments finis pour les fluides. Masson (1988). | Zbl 0748.76003

[11] N. Wirth, Algorthims + Data Structures = Programs. Prentice Hall (1976). | MR 440982 | Zbl 0375.68005