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• W2093522022 abstract "An explicit Galerkin/least-squares formulation is introduced for a quasilinear transport equation in field dislocation mechanics (FDM) and applied to the study of the kinematics of dislocation density evolution in the following physical contexts: annihilation of dislocations, expansion of a polygonal dislocation loop and simulation of a Frank–Read source. Stability analysis is carried out for the corresponding linear one-dimensional (1D) case. The formulation reduces to the Lax–Wendroff finite difference scheme for the 1D equation when equal weighting is used for the Galerkin and least-squares terms and the shape functions are linear. This conditionally stable method leads to a symmetric well-conditioned system of equations with constant coefficients, making it attractive for large-scale problems." @default.
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• W2093522022 date "2006-09-27" @default.
• W2093522022 modified "2023-10-17" @default.
• W2093522022 title "Dislocation transport using an explicit Galerkin/least-squares formulation" @default.
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• W2093522022 doi "https://doi.org/10.1088/0965-0393/14/7/011" @default.
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