Sentence examples for mesh based methods from inspiring English sources

Mesh based methods suffer from some deficiencies, mostly related to mesh definition.

As no meshing, it can save substantial cost and time on pre-processing, unlike mesh based methods, which require meshing and re-meshing.

However, most numerical solutions for beam on an elastic foundation are obtained by mesh based methods, such as finite element or finite difference methods.

So, it is evident from this example, that the performance of our mesh-free based method M3 is superior to that of mesh-based methods M1 and M2 regarding visual restoration quality (PSNR), the number of iterations, and CPU time of computation.

Numerical results indicate that the adaptively deformed mesh based interface method outperforms the original MIB method for dealing with elliptic interface problems.

We take the advantages of the high accuracy, flexibility and robustness of the matched interface and boundary (MIB) method to construct an adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients.

This is because the medial axis based methods produce meshes which have better flow alignment especially in case of internal flows.

The proposed adaptively deformed mesh based interface method is extensively validated by many numerical experiments.

The issue of mesh distortion and the subsequent re-meshing are topics of much research for grid based methods.

Simplicity of mesh generation and robustness against mesh entanglement during large deformations are key attractive features of particle based methods.

Compared to the body-fitted mesh based gradient recovery method, the new methods provide a uniform way of recovering gradient on regular meshes.