Parallel Multilevel Methods: Adaptive Mesh Refinement and Loadbalancing

· Springer Science & Business Media
E-boek
216
Bladsye
Graderings en resensies word nie geverifieer nie. Kom meer te wete

Meer oor hierdie e-boek

Numerical simulation promises new insight in science and engineering. In ad dition to the traditional ways to perform research in science, that is laboratory experiments and theoretical work, a third way is being established: numerical simulation. It is based on both mathematical models and experiments con ducted on a computer. The discipline of scientific computing combines all aspects of numerical simulation. The typical approach in scientific computing includes modelling, numerics and simulation, see Figure l. Quite a lot of phenomena in science and engineering can be modelled by partial differential equations (PDEs). In order to produce accurate results, complex models and high resolution simulations are needed. While it is easy to increase the precision of a simulation, the computational cost of doing so is often prohibitive. Highly efficient simulation methods are needed to overcome this problem. This includes three building blocks for computational efficiency, discretisation, solver and computer. Adaptive mesh refinement, high order and sparse grid methods lead to discretisations of partial differential equations with a low number of degrees of freedom. Multilevel iterative solvers decrease the amount of work per degree of freedom for the solution of discretised equation systems. Massively parallel computers increase the computational power available for a single simulation.

Meer oor die skrywer

Prof. Dr. Gerhard Zumbusch, Universität Jena

Gradeer hierdie e-boek

Sê vir ons wat jy dink.

Lees inligting

Slimfone en tablette
Installeer die Google Play Boeke-app vir Android en iPad/iPhone. Dit sinkroniseer outomaties met jou rekening en maak dit vir jou moontlik om aanlyn of vanlyn te lees waar jy ook al is.
Skootrekenaars en rekenaars
Jy kan jou rekenaar se webblaaier gebruik om na oudioboeke wat jy op Google Play gekoop het, te luister.
E-lesers en ander toestelle
Om op e-inktoestelle soos Kobo-e-lesers te lees, moet jy ’n lêer aflaai en dit na jou toestel toe oordra. Volg die gedetailleerde hulpsentrumaanwysings om die lêers na ondersteunde e-lesers toe oor te dra.