Theory and Modern Applications
Table 15 The linear FVM for problem (5.3) with \(k=12\)
From: Finite volume method for solving the stochastic Helmholtz equation
h | \(e_{1}\) | Rate | \(E (|u_{h}^{s}|_{1}^{2} )\) | \(e_{2}\) | Rate |
|---|---|---|---|---|---|
1/8 | 0.0209 | Â | 0.2739 | 0.2309 | Â |
1/16 | 0.0070 | 1.5781 | 0.4332 | 0.0715 | 1.6913 |
1/32 | 0.0035 | 1 | 0.4803 | 0.0244 | 1.5511 |
1/64 | 0.0013 | 1.4288 | 0.4949 | 0.0098 | 1.3160 |
1/128 | 7.3070e−04 | 0.8312 | 0.5023 | 0.0024 | 2.0297 |