Theory and Modern Applications
From: A discontinuous Galerkin finite element method for the Zakharov-Kuznetsov equation
 | N  ×  N | \(\boldsymbol{L^{2}}\) -error | Order | \(\boldsymbol{L^{1}}\) -error | Order |
---|---|---|---|---|---|
\(Q^{2}\) | 10 × 10 | 4.681719705684662E-002 | - | 0.938563113113571 | - |
20 × 20 | 8.590188004653063E-003 | 2.45 | 0.149004060977931 | 2.66 | |
30 × 30 | 2.801917125628173E-003 | 2.76 | 4.693715377978912E-002 | 2.85 | |
40 × 40 | 1.226912433407160E-003 | 2.87 | 2.020192920070046E-002 | 2.93 | |
50 × 50 | 6.382984939905879E-004 | 2.93 | 1.042627582635964E-002 | 2.96 | |
\(Q^{3}\) | 10 × 10 | 1.951379082541397E-002 | - | 0.376702045788276 | - |
20 × 20 | 2.041593075668467E-003 | 3.26 | 3.563208065971012E-002 | 3.40 | |
30 × 30 | 4.512659070942643E-004 | 3.72 | 7.677136067626609E-003 | 3.79 | |
40 × 40 | 1.481541022305029E-004 | 3.87 | 2.498721760169104E-003 | 3.90 | |
50 × 50 | 6.281947408186389E-005 | 3.85 | 1.051975293917244E-003 | 3.88 |