Complex geometries as common in industrial applications consist of multiple patches, if spline based parametrizations are used. The requirements for the generation of analysis-suitable models are increasing dramatically since isogeometric analysis is directly based on the spline parametrization and nowadays used for the calculation of higher-order partial differential equations. The computational, or more general, the engineering analysis necessitates suitable coupling techniques between the different patches. Mortar methods have been successfully applied for coupling of patches and for contact mechanics in recent years to resolve the arising issues within the interface. We present here current achievements in the design of mortar technologies in isogeometric analysis within the Priority Program SPP 1748, Reliable Simulation Techniques in Solid Mechanics. Development of Non-standard Discretisation Methods, Mechanical and Mathematical Analysis.

中文翻译：

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等几何分析的砂浆方法前沿

如果使用基于样条的参数化，工业应用中常见的复杂几何图形由多个补丁组成。由于等几何分析直接基于样条参数化并且现在用于计算高阶偏微分方程，因此生成适合分析的模型的要求正在急剧增加。计算，或更一般地，工程分析需要不同补丁之间的适当耦合技术。近年来，砂浆方法已成功应用于补片的耦合和接触力学，以解决界面内出现的问题。我们在此介绍了在优先计划 SPP 1748 中等几何分析中砂浆技术设计的当前成就，可靠的固体力学仿真技术。非标准离散化方法、机械和数学分析的发展。