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Analysis and application of finite volume element methods to a class of partial   difference equations.  J.Math.Anal.Appl., 2009, 358 (1)

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Originally posted by lihr at 2009-10-18 12:09:
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Analysis and application of finite volume element methods to a class of partial   difference equations.  J.Math.Anal.Appl., 2009, 358 (1)

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FN ISI Export Format
VR 1.0
PT  J
AU  Li, HR
AF  Li, Huanrong
TI  Analysis and application of finite volume element methods to a class of partial differential equations
SO  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
AB  The finite volume element (FVE) methods for a class of partial differential equations are discussed and analyzed in this paper. The new initial values are introduced in the finite volume element schemes, and we obtain optimal error estimates in L-p and W-1,W-p (2 <= p <= infinity) as well as some superconvergence estimates in W-1,W-p (2 <= p <= infinity). The main results in this paper perfect the theory of the finite volume element methods. (C) 2009 Elsevier Inc. All rights reserved.
SN  0022-247X
PD  OCT 1
PY  2009
VL  358
IS  1
BP  47
EP  55
DI  10.1016/j.jmaa.2009.04.052
UT  ISI:000266818700005
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