郑州大学学报(理学版)
鄭州大學學報(理學版)
정주대학학보(이학판)
Journal of Zhengzhou University (Natural Science Edition)
2015年
3期
21-29
,共9页
拟线性伪双曲型积分微分方程%Qrot1 元与零阶R-T元%半离散和全离散格式%超逼近
擬線性偽雙麯型積分微分方程%Qrot1 元與零階R-T元%半離散和全離散格式%超逼近
의선성위쌍곡형적분미분방정%Qrot1 원여령계R-T원%반리산화전리산격식%초핍근
quasilinear pseudo-hyperbolic integro-differential equation%Qrot1 element and zero order R-T element%semi-discrete and fully-discrete scheme%supercloseness
利用Qrot1元与零阶R-T元对一类拟线性伪双曲型积分微分方程构造了一个新的非协调混合元格式,借助于对这两个单元的高精度分析、导数转移和平均值技巧,给出了在半离散和全离散格式下的原始变量和中间变量的超逼近结果。
利用Qrot1元與零階R-T元對一類擬線性偽雙麯型積分微分方程構造瞭一箇新的非協調混閤元格式,藉助于對這兩箇單元的高精度分析、導數轉移和平均值技巧,給齣瞭在半離散和全離散格式下的原始變量和中間變量的超逼近結果。
이용Qrot1원여령계R-T원대일류의선성위쌍곡형적분미분방정구조료일개신적비협조혼합원격식,차조우대저량개단원적고정도분석、도수전이화평균치기교,급출료재반리산화전리산격식하적원시변량화중간변량적초핍근결과。
A new nonconforming mixed finite element formulation was constructed for the quasilinear inte-gro-differential equations of pseudo-hyperbolic type based on Qrot1 element and zero order R-T element. With the help of known high accuracy analysis of the above two finite elements,derivative delivery and mean-value techniques, the corresponding superclose results of the original and intermediate variables were obtained for semi-discrete and fully-discrete schemes.