Theory and Modern Applications
Table 13 The linear FVM for problem (5.3) with \(k=1\)
From: Finite volume method for solving the stochastic Helmholtz equation
h | \(e_{1}\) | Rate | \(E (|u_{h}^{s}|_{1}^{2} )\) | \(e_{2}\) | Rate |
|---|---|---|---|---|---|
1/2 | 0.0101 | Â | 0.6380 | 0.2076 | Â |
1/4 | 0.0045 | 1.1664 | 0.7718 | 0.0738 | 1.4921 |
1/8 | 0.0029 | 0.6339 | 0.8032 | 0.0424 | 0.7996 |
1/16 | 0.0013 | 1.1575 | 0.8270 | 0.0186 | 1.1888 |
1/32 | 4.8615e−004 | 1.4190 | 0.8385 | 0.0071 | 1.3894 |