Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation

• We consider the space-time discretization of the diffusion equation, using an isogeometric analysis (IgA) approximation in space and a discontinuous Galerkin (DG) approximation in time. Drawing inspiration from a former spectral analysis, we propose for the resulting space-time linear system a multigrid preconditioned GMRES method, which combines a preconditioned GMRES with a standard multigrid acting only in space. The performance of the proposed solver is illustrated through numerical experiments, which show its competitiveness in terms of iteration count, run-time and parallel scaling.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Isogeometric analysis

Discontinuous Galerkin

Preconditioned GMRES

Multigrid

Parallel solver

Spectral distribution

Diffusion equation

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)