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Efficient discrete implementations for a dynamic problem of linear elasticity

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Abstract

For a dynamic three-dimensional linear elasticity problem in velocities-stresses, we construct efficient difference schemes on the basis of various additive decompositions of the original spatial operator. They include a difference scheme whose efficient implementation at the “predictor” stage has the property of complete conservativeness. Another class of efficient difference schemes is related to the representation of the operator as a product of triangular operators, that is, an operator analog of the LU-decomposition. The parallelism degree of these difference schemes is the same as of explicit schemes.

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Original Russian Text © A.N. Konovalov, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 8, pp. 1140–1147.

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Konovalov, A.N. Efficient discrete implementations for a dynamic problem of linear elasticity. Diff Equat 47, 1153–1160 (2011). https://doi.org/10.1134/S001226611108009X

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