Non-standard Discretisation Methods in Solid Mechanics

The DFG Priority Programme 1748 aims to develop reliable simulation methods in solid mechanics by advancing non-standard discretization techniques, conducting mathematical analysis, and exploring isogeometric and discontinuous Galerkin formulations. The results provide a state-of-the-art understanding and offer promising directions for future research in civil engineering, mechanical engineering, applied mathematics, and physics.

Format: Hardback
Length: 565 pages
Publication date: 15 April 2022
Publisher: Springer Nature Switzerland AG

This edited volume presents a comprehensive summary of cutting-edge research being conducted within the DFG Priority Programme 1748: Reliable Simulation Methods in Solid Mechanics. The primary objective of this initiative is to develop innovative discretization techniques, encompassing a range of methods such as mixed finite element methods, isogeometric approaches, and discontinuous Galerkin formulations. These methods are designed to address complex geometric and physically nonlinear problems effectively.

The Priority Programme has established a robust international framework for mechanical and applied mathematical research, fostering collaboration among experts from diverse disciplines. The compiled results in this book represent the state-of-the-art in the field and offer insightful avenues for future research. It is intended for advanced students, researchers, and practitioners in civil engineering, mechanical engineering, applied mathematics, and physics, as well as industrial professionals interested in advancing the field of solid mechanics.

The volume begins with an introduction that provides an overview of the Priority Programme and its goals. It then proceeds to present a series of chapters, each dedicated to exploring specific aspects of the research. These chapters cover a wide range of topics, including non-standard discretization methods, mechanical and mathematical analysis, and applications in solid mechanics.

The authors of the chapters are renowned experts in their respective fields, and their contributions provide valuable insights into the latest developments and challenges in solid mechanics simulation. The book is well-organized, with each chapter providing a clear structure and concise explanations of the key concepts. It also includes numerous examples and case studies to illustrate the practical applications of the discussed methods.

In conclusion, this edited volume serves as a valuable resource for researchers, students, and practitioners in the field of solid mechanics. It provides a comprehensive overview of the latest research developments and highlights promising directions for future research. The book is an essential read for anyone interested in advancing the understanding and application of reliable simulation methods in solid mechanics.

Weight: 1021g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030926717
Edition number: 1st ed. 2022