Parallel H1-based auxiliary space AMG solver for H(curl) problems | Zendy

Tzanio Kolev | Zendy; Panayot S. Vassilevski | Zendy

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Parallel H1-based auxiliary space AMG solver for H(curl) problems

Author(s) -

Tzanio Kolev,

Panayot S. Vassilevski

Publication year - 2006

Language(s) - English

Resource type - Reports

DOI - 10.2172/897951

Subject(s) - solver , multigrid method , curl (programming language) , scalability , computer science , discretization , finite element method , computational science , parallel computing , sparse matrix , algebraic number , mathematics , physics , programming language , mathematical analysis , chemistry , computational chemistry , database , gaussian , partial differential equation , thermodynamics

This report describes a parallel implementation of the auxiliary space methods for definite Maxwell problems proposed in [4]. The solver, named AMS, extends our previous study [7]. AMS uses ParCSR sparse matrix storage and the parallel AMG (algebraic multigrid) solver BoomerAMG [1] from the hypre library. It is designed for general unstructured finite element discretizations of (semi)definite H(curl) problems discretized by Nedelec elements. We document the usage of AMS and illustrate its parallel scalability and overall performance

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