Computational Methods Based on Peridynamics and Nonlocal Operators

Timon Rabczuk is chaired professor of Computational Mechanics at the Bauhaus Universität Weimar, Germany. He has published more than 600 SCI papers, mainly about computational methods for the solution of partial differential equations. He is the editor-in-chief of CMC-Computers, Materials and Continua, an associated editor of International Journal of Impact Engineering and Applied Physics A, and an executive editor of FSCE-Frontiers of Structural and Civil Engineering. He was listed as one of ISI Highly Cited Researchers in Computer Science and Engineering from 2014 up to now.Huilong Ren is currently a research fellow at the Institut für Photonik of Leibniz Universität Hannover, Germany. He obtained his Ph.D. degree by the thesis “Dual-horizon peridynamics and nonlocal operator method” at Institut für Strukturmechanik (ISM) of Bauhaus-Universität Weimar. He is interested in nonlocality-based methods (peridynamics, nonlocal operator method), numerical methods (FEM, IGA, meshless methods), and automatic code generation for numerical solutions of partial differential equations.

• Introduction.-  Dual-horizon Peridynamics.- First order nonlocal operator method.- Nonlocal operator method for waveguides.