GetFEM: Automated FE Modeling of Multiphysics Problems Based on a Generic Weak Form Language

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    Abstract

    This article presents the major mathematical and implementation features of a weak form language (GWFL) for an automated finite-element (FE) solution of partial differential equation systems. The language is implemented in the GetFEM framework and strategic modeling and software architecture choices both for the language and the framework are presented in detail. Moreover, conceptual similarities and differences to existing high-level FE frameworks are discussed. Special attention is given to the concept of a generic transformation mechanism that contributes to the high expressive power of GWFL, allowing to interconnect multiple computational domains or parts of the same domain. Finally, the capabilities of the language for expressing strongly coupled multiphysics problems in a compact and readable form are shown by means of modeling examples.
    Original languageEnglish
    Article number4
    JournalACM Transactions on Mathematical Software
    Volume47
    Issue number1
    Number of pages31
    ISSN0098-3500
    DOIs
    Publication statusPublished - 2020

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