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- W4297163904 abstract "We design a Mixed Virtual Element Method for the approximated solution to the first-order form of the acoustic wave equation. In absence of external load, the semi-discrete method exactly conserves the system energy. To integrate in time the semi-discrete problem we consider a classical theta-method scheme. We carry out the stability and convergence analysis in the energy norm for the semi-discrete problem showing optimal rate of convergence with respect to the mesh size. We further study the property of energy conservation for the fully-discrete system. Finally, we present some verification tests as well as engineering application of the method." @default.
- W4297163904 created "2022-09-27" @default.
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- W4297163904 date "2022-09-23" @default.
- W4297163904 modified "2023-09-28" @default.
- W4297163904 title "Mixed Virtual Element approximation of linear acoustic wave equation" @default.
- W4297163904 doi "https://doi.org/10.48550/arxiv.2209.11603" @default.
- W4297163904 hasPublicationYear "2022" @default.
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