Efficient discrete implementations for a dynamic problem of linear elasticity |
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Authors: | A N Konovalov |
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Institution: | 1.Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch,Russian Academy of Sciences,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia |
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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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