A finite element step-by-step time integration scheme of a model linear viscous shallow-water system is analyzed by the approximation theory for semi-groups of linear operators. Strong convergence and 0(h+τ) error estimate in _L_2-sense are established.
Cite this article
Teruo Ushijima, A Semi-Group Theoretical Analysis of a Finite Element Method for a Linearized Viscous Shallow-Water System. Publ. Res. Inst. Math. Sci. 19 (1983), no. 3, pp. 1305–1328DOI 10.2977/PRIMS/1195182031