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- W1801473931 abstract "We discuss a priori error estimates for a semidiscrete piecewise linear finite volume element (FVE) approximation to a second order wave equationin a two-dimensional convex polygonal domain. Since the domain is convexpolygonal, a special attention has been paid to the limited regularity of theexact solution. Optimal error estimates in L2, H1 norms and quasioptimal estimates in L∞ norm are discussed without quadrature and also with numericalquadrature. Numerical results confirm the theoretical order of convergence." @default.
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- W1801473931 date "2008-01-01" @default.
- W1801473931 modified "2023-09-23" @default.
- W1801473931 title "Finite volume element method for second order hyperbolic equations" @default.
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