Intrepid is a Trilinos package for advanced discretizations of Partial Differential Equations (PDEs). The package provides a comprehensive set of tools for local, cell-based construction of a wide range of numerical methods for PDEs. This paper describes the mathematical ideas and software design principles incorporated in the package. We also provide representative examples showcasing the use of Intrepid both in the context of numerical PDEs and the more general context of data analysis.

中文翻译：

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无畏地解决PDE

Intrepid是Trilinos软件包，用于偏微分方程（PDE）的高级离散化。该软件包提供了一套全面的工具，用于局部基于单元的PDE数值方法的广泛构建。本文介绍了软件包中包含的数学思想和软件设计原理。我们还提供了具有代表性的示例，这些示例展示了在数值PDE和更一般的数据分析上下文中使用Intrepid的情况。