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|Title:||Finite volume element method for second order hyperbolic equations|
|Publisher:||ISCI-INST SCIENTIFIC COMPUTING & INFORMATION|
|Citation:||INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 5(1), 132-151|
|Abstract:||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 L-2, H-1 norms and quasioptimal estimates in L-infinity norm are discussed without quadrature and also with numerical quadrature. Numerical results confirm the theoretical order of convergence.|
|Appears in Collections:||Article|
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