A Semi-Group Theoretical Analysis of a Finite Element Method for a Linearized Viscous Shallow-Water System
1983 Volume 19 Issue 3 Pages 1305-1328
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1983 Volume 19 Issue 3 Pages 1305-1328
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 O(h+τ) error estimate in L2-sense are established.
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Publications of the Research Institute for Mathematical Sciences, Kyoto University. Ser. A
