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FEMSTER: An object-oriented class library of high-order discrete differential forms

Authors:

Daniel WhiteAuthors Info & Claims

ACM Transactions on Mathematical Software (TOMS), Volume 31, Issue 4

Pages 425 - 457

https://doi.org/10.1145/1114268.1114269

Published: 01 December 2005 Publication History

Abstract

FEMSTER is a modular finite element class library for solving three-dimensional problems arising in electromagnetism. The library was designed using a modern geometrical approach based on differential forms (or p-forms) and can be used for high-order spatial discretizations of well-known H(div)- and H(curl)-conforming finite element methods. The software consists of a set of abstract interfaces and concrete classes, providing a framework in which the user is able to add new schemes by reusing the existing classes or by incorporating new user-defined data types.

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Cited By

Spitzer K(2023)Electromagnetic Modeling Using Adaptive Grids – Error Estimation and Geometry RepresentationSurveys in Geophysics10.1007/s10712-023-09794-945:1(277-314)Online publication date: 22-Jun-2023
https://doi.org/10.1007/s10712-023-09794-9
Mlakar DWinter MStadlbauer PSeidel HSteinberger MZayer R(2020)Subdivision‐Specialized Linear Algebra Kernels for Static and Dynamic Mesh Connectivity on the GPUComputer Graphics Forum10.1111/cgf.1393439:2(335-349)Online publication date: 13-Jul-2020
https://doi.org/10.1111/cgf.13934
Wang FMorten JSpitzer K(2018)Anisotropic three-dimensional inversion of CSEM data using finite-element techniques on unstructured gridsGeophysical Journal International10.1093/gji/ggy029213:2(1056-1072)Online publication date: 29-Jan-2018
https://doi.org/10.1093/gji/ggy029
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Index Terms

FEMSTER: An object-oriented class library of high-order discrete differential forms
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Partial differential equations
  2. Mathematical software

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Published In

cover image ACM Transactions on Mathematical Software

ACM Transactions on Mathematical Software Volume 31, Issue 4

December 2005

167 pages

ISSN:0098-3500

EISSN:1557-7295

DOI:10.1145/1114268

Issue’s Table of Contents

Copyright © 2005 ACM.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 December 2005

Published in TOMS Volume 31, Issue 4

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Cited By

Spitzer K(2023)Electromagnetic Modeling Using Adaptive Grids – Error Estimation and Geometry RepresentationSurveys in Geophysics10.1007/s10712-023-09794-945:1(277-314)Online publication date: 22-Jun-2023
https://doi.org/10.1007/s10712-023-09794-9
Mlakar DWinter MStadlbauer PSeidel HSteinberger MZayer R(2020)Subdivision‐Specialized Linear Algebra Kernels for Static and Dynamic Mesh Connectivity on the GPUComputer Graphics Forum10.1111/cgf.1393439:2(335-349)Online publication date: 13-Jul-2020
https://doi.org/10.1111/cgf.13934
Wang FMorten JSpitzer K(2018)Anisotropic three-dimensional inversion of CSEM data using finite-element techniques on unstructured gridsGeophysical Journal International10.1093/gji/ggy029213:2(1056-1072)Online publication date: 29-Jan-2018
https://doi.org/10.1093/gji/ggy029
Liu YXu ZLi Y(2018)Adaptive finite element modelling of three-dimensional magnetotelluric fields in general anisotropic mediaJournal of Applied Geophysics10.1016/j.jappgeo.2018.01.012151(113-124)Online publication date: Apr-2018
https://doi.org/10.1016/j.jappgeo.2018.01.012
Zayer RSteinberger MSeidel H(2017)A GPU-Adapted Structure for Unstructured GridsComputer Graphics Forum10.1111/cgf.1314436:2(495-507)Online publication date: 1-May-2017
https://dl.acm.org/doi/10.1111/cgf.13144
Na DOmelchenko YMoon HBorges BTeixeira F(2017)Axisymmetric charge-conservative electromagnetic particle simulation algorithm on unstructured grids: Application to microwave vacuum electronic devicesJournal of Computational Physics10.1016/j.jcp.2017.06.016346(295-317)Online publication date: Oct-2017
https://doi.org/10.1016/j.jcp.2017.06.016
Cruz LRamos E(2016)General Template Units for the Finite Volume Method in Box-Shaped DomainsACM Transactions on Mathematical Software10.1145/283517543:1(1-32)Online publication date: 13-Aug-2016
https://dl.acm.org/doi/10.1145/2835175
Jund SSalmon SSonnendrücker E(2015)High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell EquationsCommunications in Computational Physics10.4208/cicp.100310.230511a11:3(863-892)Online publication date: 20-Aug-2015
https://doi.org/10.4208/cicp.100310.230511a
Wittke JTezkan B(2014)Meshfree magnetotelluric modellingGeophysical Journal International10.1093/gji/ggu207198:2(1255-1268)Online publication date: 27-Jun-2014
https://doi.org/10.1093/gji/ggu207
Sanchez EPaolini CCastillo J(2014)The Mimetic Methods Toolkit: An object-oriented API for Mimetic Finite DifferencesJournal of Computational and Applied Mathematics10.1016/j.cam.2013.12.046270(308-322)Online publication date: Nov-2014
https://doi.org/10.1016/j.cam.2013.12.046
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