Polynomial Time-Marching for Three-Dimensional Wave Equations

被引：2
作者：
Luo Y. [1 ]
机构：
[1] Scientific Computing Group, Los Alamos National Laboratory, Mail Stop B256, Los Alamos, NM 87545
来源：
Journal of Scientific Computing | 1997年 / 12卷 / 4期
关键词：
Boundary value problems; Chebyshev collocation; Differential matrix; Three-dimensional problems; Time-marching;
D O I：
10.1023/A:1025633130781
中图分类号：
学科分类号：
摘要：
As a continuation of the efficient and accurate polynomial interpolation time-marching technique in one-dimensional and two-dimensional cases, this paper proposes a method to extend it to three-dimensional problems. By stacking all two-dimensional (x, y) slice matrices along Z direction, three-dimensional derivative matrices are constructed so that the polynomial interpolation time-marching can be performed in the same way as one-dimensional and two-dimensional cases. Homogeneous Dirichlet and Neumann boundary conditions are also incorporated into the matrix operators in a similar way as in one- and two-dimensional problems. A simple numerical example of scalar wave propagation in a closed-cube has validated this extended method.
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页码：465 / 477
页数：12
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