The mimetic methods toolkit: an object-oriented API for mimetic finite differences

DOI10.1016/j.cam.2013.12.046zbMath1321.65162OpenAlexW2013502937MaRDI QIDQ2517448

Christopher Paolini, José E. Castillo, Eduardo J. Sanchez

Publication date: 26 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.12.046

zbMATH Keywords

partial differential equationsmimetic finite differencesCastillo-Grone methodapplication programming interfacesobject-oriented development

Mathematics Subject Classification ID

Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.) (68N19) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

Mimetic Methods Toolkit ⋮ Algorithms for Higher-Order Mimetic Operators

Uses Software

• SuperLU-DIST
• ATLAS
• FEMSTER
• LAPACK
• SuperLU
• MUMPS
• Boost C++ Libraries
• gnuplot
• Boost

Cites Work

• Unnamed Item
• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Mimetic schemes on non-uniform structured meshes
• Linear systems arising for second order mimetic divergence and gradient discretizations
• The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension
• Modeling and simulation of the production process of electrical energy in a geothermal power plant
• Large sparse linear systems arising from mimetic discretization
• FEMSTER
• LAPACK Users' Guide
• Basic Linear Algebra Subprograms for Fortran Usage
• A Supernodal Approach to Sparse Partial Pivoting
• A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law
• SuperLU_DIST
• Automated empirical optimizations of software and the ATLAS project

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