TY - GEN

T1 - Software framework ug4

T2 - 15th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2012

AU - Heppner, Ingo

AU - Lampe, Michael

AU - Nägel, Arne

AU - Reiter, Sebastian

AU - Rupp, Martin

AU - Vogel, Andreas

AU - Wittum, Gabriel

PY - 2013/9/2

Y1 - 2013/9/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84883065398&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-33374-3-32

DO - 10.1007/978-3-642-33374-3-32

M3 - Conference contribution

SN - 9783642333736

T3 - High Performance Computing in Science and Engineering 2012 - Transactions of the High Performance Computing Center, Stuttgart, HLRS 2012

SP - 435

EP - 449

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

Y2 - 10 October 2012 through 11 October 2012

ER -