本编辑卷总结了DFG优先项目1748中正在进行的研究：“固体力学中的可靠模拟方法。非标准离散化方法、机械和数学分析的发展”，其目的是开发新的离散化方法，例如基于混合有限元法，等几何方法以及间断伽辽金公式，包括对几何和物理非线性问题的合理数学分析。该优先项目为机械和应用数学研究建立了一个国际框架，以在跨学科层面上寻求开放性挑战。汇编的结果可以被理解为研究领域的最新技术，并显示了在各自领域进一步研究的前景。本书面向土木工程、机械工程、应用数学和物理领域的博士和博士后学生，以及对该领域感兴趣的工业研究人员。
Non-standard Discretisation Methods in Solid Mechanics
This edited volume summarizes research being pursued within the DFG Priority Programme 1748: “Reliable Simulation Methods in Solid Mechanics. Development of non-standard discretisation methods, mechanical and mathematical analysis”, the aim of which was to develop novel discretisation methods based e.g. on mixed finite element methods, isogeometric approaches as well as discontinuous Galerkin formulations, including a sound mathematical analysis for geometrically as well as physically nonlinear problems. The Priority Programme has established an international framework for mechanical and applied mathematical research to pursue open challenges on an inter-disciplinary level. The compiled results can be understood as state of the art in the research field and show promising ways of further research in the respective areas. The book is intended for doctoral and post-doctoral students in civil engineering, mechanical engineering, applied mathematics and physics, as well as industrial researchers interested in the field.
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