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SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN METHOD FOR NONSTATIONARY HYPERBOLIC EQUATION 被引量:2

SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN METHOD FOR NONSTATIONARY HYPERBOLIC EQUATION
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摘要 For the first order nonstationary hyperbolic equation taking the piecewise linear discontinuous Galerkin solver, we prove that under the uniform rectangular partition, such a discontinuous solver, after postprossesing, can have two and half approximative order which is half order higher than the optimal estimate by Lesaint and Raviart under the rectangular partition. For the first order nonstationary hyperbolic equation taking the piecewise linear discontinuous Galerkin solver, we prove that under the uniform rectangular partition, such a discontinuous solver, after postprossesing, can have two and half approximative order which is half order higher than the optimal estimate by Lesaint and Raviart under the rectangular partition.
机构地区 Chinese Acad Sci
出处 《Journal of Computational Mathematics》 SCIE CSCD 2002年第4期429-436,共8页 计算数学(英文)
基金 Subsidized by the Special Funds for Major State Basic Research Projects G1999032804.
关键词 discontinuous Galerkin method hyperbolic equation NONSTATIONARY SUPERCONVERGENCE discontinuous Galerkin method hyperbolic equation nonstationary superconvergence
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