Theory and Modern Applications
Table 14 The linear FVM for problem (5.3) with \(k=6\)
From: Finite volume method for solving the stochastic Helmholtz equation
h | \(e_{1}\) | Rate | \(E (|u_{h}^{s}|_{1}^{2} )\) | \(e_{2}\) | Rate |
|---|---|---|---|---|---|
1/3 | 0.0142 | Â | 0.2369 | 0.2788 | Â |
1/6 | 0.0081 | 0.8099 | 0.3993 | 0.1164 | 1.2601 |
1/12 | 0.0027 | 1.5850 | 0.4719 | 0.0438 | 1.4101 |
1/24 | 0.0012 | 1.1699 | 0.4956 | 0.0201 | 1.1237 |
1/48 | 7.2862e−04 | 0.7198 | 0.5088 | 0.0068 | 1.5636 |