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Kaskade 7 — A flexible finite element toolbox

2020; Elsevier BV; Volume: 81; Linguagem: Inglês

10.1016/j.camwa.2020.02.011

1873-7668

Sebastian Götschel, Anton Schiela, Martin Weiser,

Numerical methods for differential equations

Kaskade 7 is a finite element toolbox for the solution of stationary or transient systems of partial differential equations, aimed at supporting application-oriented research in numerical analysis and scientific computing. The library is written in C++ and is based on the Dune interface. The code is independent of spatial dimension and works with different grid managers. An important feature is the mix-and-match approach to discretizing systems of PDEs with different ansatz and test spaces for all variables. We describe the mathematical concepts behind the library as well as its structure, illustrating its use at several examples on the way.