Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling
نویسندگان
چکیده
منابع مشابه
Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling
Nonlocal gradient operators are basic elements of nonlocal vector calculus that play important roles in nonlocal modeling and analysis. In this work, we extend earlier analysis on nonlocal gradient operators. In particular, we study a nonlocal Dirichlet integral that is given by a quadratic energy functional based on nonlocal gradients. Our main finding, which differs from claims made in previo...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2018
ISSN: 0036-1399,1095-712X
DOI: 10.1137/17m1139874