In applied mathematics and related disciplines, the
modeling-simulation-optimization workflow is a prominent scheme, with
mathematical models and numerical algorithms playing a crucial role. For these
types of mathematical research data, the Mathematical Research Data Initiative
has developed, merged and implemented ontologies and knowledge graphs. This
contributes to making mathematical research data FAIR by introducing semantic
technology and documenting the mathematical foundations accordingly. Using the
concrete example of microfracture analysis of porous media, it is shown how the
knowledge of the underlying mathematical model and the corresponding numerical
algorithms for its solution can be represented by the ontologies.

使用本体论的方法，将应用数学中的建模 - 仿真 - 优化工作流的数学模型和数值算法表示出来，以构建 FAIR 数学研究数据。通过介绍多孔介质微裂纹分析的具体例子，展示了本体论如何表征基础数学模型及其相应的数值算法。