Algebraic Multigrid Methods For Virtual Element Discretizations: A Numerical Study

2018/12/05 by Daniele Prada, Prada, Daniele, Micol Pennacchio +1 · 1 citation
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1812.02161

openalex publication_date 2018/12/05 · openalex created_date 2018/12/11 · openalex updated_date 2026/07/28

Abstract

We investigate the performance of algebraic multigrid methods for the solution of the linear system of equations arising from a Virtual Element discretization. We provide numerical experiments on very general polygonal meshes for a model elliptic problem with and without highly heterogeneous diffusion coefficients and we draw conclusions regarding the efficacy of the method.

Citations

• Algorithm 832

Cited by

• Deep Learning Accelerated Algebraic Multigrid Methods for Polytopal Discretizations of Second-Order Differential Problems

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