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|Title: ||The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation|
|Authors: ||SINHA, RK|
|Keywords: ||order hyperbolic equations|
|Issue Date: ||2003|
|Publisher: ||MARCEL DEKKER INC|
|Citation: ||NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 24(3-4), 311-325|
|Abstract: ||The purpose of this article is to study the effect of spatial quadrature on the semidiscrete finite element Galerkin approximations to a linear strongly damped wave equation. Based on a nonstandard energy formulation, optimal order error estimates are derived for all time t > 0. More precisely, for the spatially discrete scheme, optimal order error estimates in L-2 and H-1 norms are proved for nonsmooth initial data. Further, quasi-optimal order error estimate is derived in L-infinity norm for nonsmooth initial data.|
|Appears in Collections:||Article|
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