A generalized plane-wave numerical method for smooth nonconstant coefficients
A generalized plane-wave numerical method for smooth nonconstant coefficients
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DOI：
10.1093/imanum/drt030
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发表时间：
2014-07
影响因子：
2.1
通讯作者：
Lise-Marie Imbert-Gérard;B. Després
中科院分区：
文献类型：
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作者：
Lise-Marie Imbert-Gérard;B. Després
我们提出了一种基于广义平面波和近似系数的数值逼近具有光滑变系数的Helmholtz方程的原始方法。这是合理的高阶收敛估计率。我们的动机源于麦克斯韦方程与厄米介电张量ε，这是用来模拟聚变等离子体中的反射。简化的模型将它们分为两种不同的传播模式。一些数值结果在1和2维。
We propose an original method based on generalized plane waves and approximated coefficients for the numerical approximation of the Helmholtz equation with a smooth nonconstant coefficient. This is justified by a high-order convergence estimate rate. Our motivation stems from Maxwell's equations with Hermitian dielectric tensorεwhich are used to model reflectometry in fusion plasma. Simplified models split them into two different propagation modes. Some numerical results are presented in dimensions 1 and 2.