Sinha, Rajen K. ; Pani, Amiya K. ; Chung, Sang K. (2003) The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation Numerical Functional Analysis and Optimization, 24 (3-4). pp. 311-325. ISSN 0163-0563
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Official URL: http://www.tandfonline.com/doi/abs/10.1081/NFA-120...
Related URL: http://dx.doi.org/10.1081/NFA-120022925
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 L2 and H1 norms are proved for nonsmooth initial data. Further, quasi-optimal order error estimate is derived in L∞ norm for nonsmooth initial data.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Group. |
| Keywords: | Finite Element Method; Semidiscrete; Quadrature; Nonsmooth Data; Energy Method; Error Estimate; Mathematics Subject Classification (1991): 65M15; 65M60 |
| ID Code: | 81963 |
| Deposited On: | 09 Feb 2012 04:44 |
| Last Modified: | 09 Feb 2012 04:44 |
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