Finite Volume Element Method for Second Order Hyperbolic Equations
نویسندگان
چکیده
We discuss a priori error estimates for a semidiscrete piecewise linear finite volume element (FVE) approximation to a second order wave equation in a two-dimensional convex polygonal domain. Since the domain is convex polygonal, a special attention has been paid to the limited regularity of the exact solution. Optimal error estimates in L2, H1 norms and quasioptimal estimates in L∞ norm are discussed without quadrature and also with numerical quadrature. Numerical results confirm the theoretical order of convergence.
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