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Lehrstuhl für Informatik 10 ( Systemsimulation ) Comparison of two implementations of AMG-preconditioned CG considering an electrostatic problem

Physical computational problems often lead to large sparse linear systems of equations, the solution of which is the most time–consuming part of the program. After an appropriate algorithm is chosen for this task, it either can be self–implemented or called from an already existing library. Due to this decision in this report three possibilities are evaluated, using an internal software and the libraries PETSc and BoomerAMG to solve an electrostatic field model problem.