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Mathematics and Mechanics of Solids
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PFEM Formalism in Kronecker Notation

Yimin Zhang

Bangcun Wen

School of Mechanical Engineering, Northeastern University, Shenyang, 110006, P R. China

Suhuan Chen

Department of Mechanics, Jilin University of Technology, Changchun, 130025, R R. China

This paper extends the probabilistic finite element method (PFEM) to vector-valued and matrixvalued functions using techniques from matrix calculus and Kronecker algebra, and presents the PFEM in Kronecker notation for linear and nonlinear continua. The results derived are easily amenable to computational procedures.

Mathematics and Mechanics of Solids, Vol. 1, No. 4, 445-461 (1996)
DOI: 10.1177/108128659600100406
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