Geodesic
Numerical solution of strong nonlinear deformation problems in Euler's coordinates
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 45-57

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Numerical solution of problem of strong nonlinear deformation using method of solution continuation with respect to a parameter is considered. Euler's coordinates are used. Numerical results demonstrate efficiency of the approach. 
@article{UZKU_2007_149_4_a3,
     author = {M. S. Agapov and E. B. Kuznetsov and V. I. Shalashilin},
     title = {Numerical solution of strong nonlinear deformation problems in {Euler's} coordinates},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {45--57},
     publisher = {mathdoc},
     volume = {149},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a3/}
}
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M. S. Agapov; E. B. Kuznetsov; V. I. Shalashilin. Numerical solution of strong nonlinear deformation problems in Euler's coordinates. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 149 (2007) no. 4, pp. 45-57. http://geodesic.mathdoc.fr/item/UZKU_2007_149_4_a3/