Exact(6)
We observe that L∞ and L2 in q achieve 3.5th and 2.0th order super convergence and that L∞ and L2 in u all achieve 1.5th order super convergence.
The results demonstrate that the SNS-FEM achieves super accuracy and super convergence.
It tests the error and super convergence at the arbitrary boundary and here we hope to find the impact factors of error change.
Numerical examples, including both benchmark cases and practical engineering problems, demonstrate that the SNS-FEM possesses the following important properties: (1) temporal stability; (2) super accuracy and super convergence; (3) higher computational efficiency; (4) insensitive to mesh distortion.
The convergence order of L∞ and L2 in q reach 1.5th and 2.0th order super convergence and the values are is lower than the case described in Section 4.1.
The LDG method [17, 18, 19, 20] means it easy to achieve high accuracy in space and time and provides useful mathematical properties with respect to conservation, stability, and super convergence.
Similar(54)
Not far behind is the Super-Geode, a super-convergence chip that National has already begun work on.
In Section 2, we establish a semi-discretized super-convergence format about time for the Sobolev equation in the 2D unbounded domain and deduce the super-convergence error estimates of the semi-discretized solutions about time.
Within the super-convergence domain, the compressional structures in the center of the South China Block are mainly characterized by shortening, thrusting and decollement.
The key ingredient is an accurate and computationally inexpensive a posteriori error estimator based on the super-convergence properties of HDG.
To this end, we first constitute the time semi-discretized super-convergence format for the Sobolev equation by means of the Newmark method.
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