ParMooN -- a modernized program package based on mapped finite elements

DOI10.1016/j.camwa.2016.12.020zbMath1375.65158arXiv1705.08784OpenAlexW2572761701MaRDI QIDQ2406745

Sashikumaar Ganesan, Volker John, Abdus Shamim, Raviteja Meesala, Swetlana Giere, Ulrich Wilbrandt, Clemens Bartsch, J. Venkatesan, Felix Anker, Alfonso Caiazzo, Laura Blank, Najib Alia, Naveed Ahmed, Gunar Matthies

Publication date: 6 October 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08784

zbMATH Keywords

numerical examplesparallelizationprogram packagegeometric multigrid method\textsc{ParMooN}mapped finite elements

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Packaged methods for numerical algorithms (65Y15)

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Uses Software

• BoomerAMG
• MooNMD
• FreeFem++
• DUNE-FEM
• deal.ii
• PETSc
• MUMPS
• METIS
• FEniCS
• OpenFOAM
• IFISS
• ParaView
• ParMooN

Cites Work

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• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• The \texttt{deal.II} library, version 8.4
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• A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I
• An assessment of discretizations for convection-dominated convection-diffusion equations
• MooNMD -- a program package based on mapped finite element methods
• On classical iterative subdomain methods for the Stokes-Darcy problem
• On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
• Finite Element Methods for Incompressible Flow Problems
• Finite Elements and Fast Iterative Solvers
• Quantitative benchmark computations of two-dimensional bubble dynamics
• Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations
• New development in freefem++
• IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• A singularly perturbed model problem for numerical computation

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