Finite difference schemes with transferable interfaces for parabolic problems

被引：3

作者：

Eriksson, Sofia ^{[1
]}

Nordstrom, Jan ^{[2
]}

机构：

[1] Linnaeus Univ, Fac Technol, Dept Math, S-35195 Vaxjo, Sweden

[2] Linkoping Univ, Dept Math, Computat Math, S-58183 Linkoping, Sweden

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2018年 / 375卷

关键词：

Finite difference methods; Summation-by-parts; High order accuracy; Dual consistency; Superconvergence; Interfaces; BOUNDARY-CONDITIONS; PARTS OPERATORS; SUMMATION; APPROXIMATIONS; CONVERGENCE; ACCURACY; ORDER;

D O I：

10.1016/j.jcp.2018.08.051

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We derive a method to locally change the order of accuracy of finite difference schemes that approximate the second derivative. The derivation is based on summation-by-parts operators, which are connected at interfaces using penalty terms. At such interfaces, the numerical solution has a double representation, with one representation in each domain. We merge this double representation into a single one, yielding a new scheme with unique solution values in all grid points. The resulting scheme is proven to be stable, accurate and dual consistent. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：935 / 949

页数：15

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