Sentence examples for three dimensional examples from inspiring English sources
In this section, we present numerical results with explanation on the realization for two dimensional and three dimensional examples of the Bitsadze-Samarskii type overdetermined elliptic multipoint NBVP.
Numerically it is demonstrated that compared to the Galerkin method the computational speed gain in the proposed method is of three to four orders of magnitude for a two dimensional example, and of one to two orders of magnitude for a three dimensional example, while retaining the same level of accuracy.
A more complicated three dimensional example with 11 terms in the definition of c is given in Fig. 4: an elliptical base of type 6 and 10 cones of type 2. Fig. 3 A selection of contours made from the different types of terms.
Several two and three dimensional examples ranging from standard delamination tests (the mixed mode bending test) to the L-shaped specimen with a fillet, three dimensional (3D) double cantilever beam and a 3D singly curved thick-walled laminate are provided.
Accuracy of H-EMSHM with respect to the direct numerical modeling is explained with one and two dimensional examples.
Two dimensional examples of water flooding in fractured reservoirs are set up to demonstrate the proposed method.
Optimization results are presented for several two dimensional examples including a benchmark problem based on a bi-stable beam, and a two-dimensional stent patch.
The numerical performance of the method is presented via two dimensional example problems of wave propagations.
We propose two dimensional numerical examples and compare the results to those obtained with a quadtree data structure.
One and two dimensional numerical examples are presented to show that the scheme can attain the same formal high order accuracy as the LDG method.
We illustrate with three one-dimensional examples —a time-dependent harmonic oscillator, a double-well anharmonic oscillator, and the repulsive 1x2 potential and find good agreement between the numerically calculated and exact paths where analytical results are available for comparison.
