Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations
Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations
复制标题
标量守恒方程的不变域和二阶连续有限元逼近
DOI：
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发表时间：
2017
影响因子：
2.9
通讯作者：
B. Popov
中科院分区：
文献类型：
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作者：
J. Guermond;B. Popov
我们提出了一种近似非线性标量守恒方程的技术，使用连续有限元，并正式（至少）二阶精度的空间和最大值原理保持。该方法在时间上是显式的，在空间上使用非结构化连续有限元，并在任何空间维度上工作。通过调整人工粘度，实现了方法的稳定性和准确性。
We propose a technique for approximating nonlinear scalar conservation equations that uses continuous finite elements and is formally (at least) second-order accurate in space and maximum principle preserving. The method is explicit in time, uses unstructured continuous finite elements in space, and works in any space dimension. The stability and accuracy of the method are achieved by adapting the artificial viscosity.