2,作者的项目支持中, 项目名称 的主要部分单词,首字母大写,其它如 for , grant, key ,project 首字母要小写。如: Education Department key project Hunan Provincial Innovation Foundation for Postgraduate NSF grant 另外,"author was supported" 而不是" author is supported".
then discretized (1.1) with the piecewise linear finite element.
4, point wise ----> pointwise, shape regular---> shape-regular, quasi uniform ---> quasi-uniform, least squares ---> least-squares, convection-diffusion equation, first-order,
5, we have include ||u|| the effect of the additional approximation error of the geometry. 这个句子当中||u||后面的内容是对||u||的说明, 此时 ||u||后面不加逗号.
6, These afore mentioned results ----> These aforementioned results, 意思是: 这些以上提到的结果.
7, only have, only get, only need ----> have only, get only, need only
8, which deserves a further studying ----> which deserves further study.
9, d(x)<0, for all ... ---> d(x)<0 for all ...., 不管是行内公式 还是行间公式, for all前都不要加逗号.
10, The Laplace-Beltrami operator on S reads as follows: 注意这里的冒号不能少
define ..... as, ..... -----> define .... as .....
11, 在长的英语句子中, 表示并列或进一步的关系 的and前面加 逗号
12, semi norm ---> seminorm
13, we introduce the following definition which is first introduced in [10] .... -----> we introduce the following definition, which is first introduced in [10] ....
14, we use Lemma 2.3, the estimates (3.4) and (3.6) to get ... ---> we use Lemma 2.3 and the estimates (3.4) and (3.6) to get ...
15, the estimates (3.4), (3.7) and (3.8) to .... ------> the estimates (3.4), (3.7), and (3.8) to ....