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A Differential Variational Inequality Approach for the Simulation of Heterogeneous Materials
 

Summary: A Differential Variational Inequality Approach for the
Simulation of Heterogeneous Materials
Lei Wang1
, Jungho Lee1
, Mihai Anitescu1
, Anter El Azab2
,
Lois Curfman McInnes1
, Todd Munson
1
, Barry Smith1
1Mathematics and Computer Science Division, Argonne National Laboratory,
Argonne, IL 60439, USA
2Florida State University, Tallahassee, FL 32310, USA
Abstract. The phase-field method has recently emerged as a powerful approach
for modeling and predicting mesoscale morphological and microstructure evolution
in materials. While differential variational inequalities (DVIs) arise naturally in the
phase-field method, the prevailing approach replaces these by smooth approxima-
tions that result in equations that are typically very stiff and limit the efficiency
and accuracy of the numerical methods applied. This paper discusses initial work

  

Source: Anitescu, Mihai - Mathematics and Computer Science Division, Argonne National Laboratory

 

Collections: Mathematics