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.

中文翻译：

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获取有限元

本文介绍了用于偏微分方程系统的自动有限元 (FE) 解决方案的弱形式语言 (GWFL) 的主要数学和实现特征。该语言在 GetFEM 框架中实现，并详细介绍了该语言和框架的战略建模和软件架构选择。此外，讨论了与现有高级 FE 框架的概念异同。特别注意通用转换机制的概念，它有助于 GWFL 的高表达能力，允许互连多个计算域或同一域的部分。最后，通过建模示例展示了该语言以简洁易读的形式表达强耦合多物理场问题的能力。