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Title: Mathematical and Numerical Analyses of Peridynamics for Multiscale Materials Modeling

We have treated the modeling, analysis, numerical analysis, and algorithmic development for nonlocal models of diffusion and mechanics. Variational formulations were developed and finite element methods were developed based on those formulations for both steady state and time dependent problems. Obstacle problems and optimization problems for the nonlocal models were also treated and connections made with fractional derivative models.
Authors:
 [1]
  1. Florida State Univ., Tallahassee, FL (United States)
Publication Date:
OSTI Identifier:
1170396
DOE Contract Number:
SC0004970
Resource Type:
Technical Report
Research Org:
Florida State University, Tallahassee, FL (United States)
Sponsoring Org:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING