Kaskade 7 -- a Flexible Finite Element Toolbox

Please always quote using this URN: urn:nbn:de:0297-zib-74616
  • 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.

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Author:Sebastian GötschelORCiD, Anton Schiela, Martin WeiserORCiD
Document Type:ZIB-Report
Tag:finite elements; generic programming; partial differential equations
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
65-XX NUMERICAL ANALYSIS / 65Yxx Computer aspects of numerical algorithms / 65Y99 None of the above, but in this section
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) / 68Uxx Computing methodologies and applications / 68U20 Simulation [See also 65Cxx]
Date of first Publication:2019/09/09
Series (Serial Number):ZIB-Report (19-48)
ISSN:1438-0064