论文标题
高阶样条向上风，用于时空等几何分析
High-Order Spline Upwind for Space-Time Isogeometric Analysis
论文作者
论文摘要
我们为热方程式提出了一种创新的iSODEDENEMEDEMITION时几个时代方法，并在空间和时间上都具有光滑的花纹近似。为了增强该方法的稳定性，我们基于高阶人造扩散的线性组合，添加了一个稳定项。该术语的设计目的是使线性系统较低三角形，即相对于时间下的三角形。为了保持最佳准确性，稳定项会进一步加权残差。通过一系列数值实验，我们验证了该方法的能力，展示了其稳定性和准确性。
We propose an innovative isogeometric space-time method for the heat equation, with smooth splines approximation in both space and time. To enhance the stability of the method we add a stabilizing term, based on a linear combination of high-order artificial diffusions. This term is designed in order to make the linear system lower block-triangular, that is, lower triangular with respect to time. In order to keep optimal accuracy, the stabilization terms are further weighted in terms of the residual. Through a series of numerical experiments, we validate the method's capability, showcasing its stability and accuracy.
