Li, Xiaocui; Yang, Xiaoyuan; Zhang, Yinghan Semidiscrete finite element approximation of stochastic non-selfadjoint wave equation. (Chinese. English summary) Zbl 1399.65258 Math. Numer. Sin. 39, No. 1, 42-58 (2017). Summary: We study the semidiscrete finite element approximation of the linear stochastic non-selfadjoint wave equation forced by additive noise. The results here are more general since the linear operator \(A\) does not need to be self-adjoint and we do not need information about eigenvalues and eigenfunctions of the linear operator \(A\). In order to obtain the strong convergence error estimates, a standard finite element method for the spatial discretization and the properties of a strongly continuous operator cosine function are used. The error estimates are applicable in the multi-dimensional case. MSC: 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 65C30 Numerical solutions to stochastic differential and integral equations 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 35R60 PDEs with randomness, stochastic partial differential equations Keywords:stochastic non-selfadjoint wave equation; finite element method; nonselfadjoint operator; cosine operator function; strong convergence PDFBibTeX XMLCite \textit{X. Li} et al., Math. Numer. Sin. 39, No. 1, 42--58 (2017; Zbl 1399.65258)