@inproceedings{47a9faf15f6046698aefa0eb823a025a,

title = "Software framework ug4: Parallel multigrid on the hermit supercomputer",

abstract = "The modeling of physical phenomena in a variety of fields of scientific interest lead to a formulation in terms of partial differential equations. Especially when complex geometries as the domain of definition are involved, a direct and exact solution is not accessible, but numerical schemes are used to compute an approximate discrete solution. In this report, we focus on elliptic and parabolic types of equations that include spatial operators of second order. When discretizing such problems using commonly known discretization schemes such as finite element methods or finite volume methods, large systems of linear equations arise naturally. Their solution takes the largest amount of the overall computing time.",

author = "Ingo Heppner and Michael Lampe and Arne N{\"a}gel and Sebastian Reiter and Martin Rupp and Andreas Vogel and Gabriel Wittum",

year = "2013",

doi = "10.1007/978-3-642-33374-3_32",

language = "English (US)",

isbn = "9783642333736",

series = "High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012",

publisher = "Springer Verlag",

pages = "435--449",

booktitle = "High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012",

address = "Germany",

note = "15th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2012 ; Conference date: 10-10-2012 Through 11-10-2012",

}