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Dong Ivan
Dong Ivan
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Thank you very much for the comments, edits, and answers. I have learned a lot. I try to summarize my solutionsanswer as the questioner.

In my point of view, the mesh generation algorithms for CG and scientific computation are quick similar. We can learn the mesh generation algorithms from the CG point view.

But there is a difference between CG and scientific computation. That is the purpose of using the mesh. Different purposes need different meshes. There is no optimal mesh for all problems.

For scientific computation, the optimal mesh is actually closely related to the specific initial conditions, boundary conditions and the discretization scheme of the governing equation. How to introduce these factors into the measurement of the optimal mesh is a very important topic. And if you look from a scientific computing point of view, the numerical scheme can't perform well without a good mesh. I think good meshes are not only the high discretization quality of 3D geometric space, but also the high discretization quality of high-dimensional computing space induced by numerical scheme.

Thank you very much for the comments, edits, and answers. I have learned a lot. I try to summarize my solutions as the questioner.

In my point of view, the mesh generation algorithms for CG and scientific computation are quick similar. We can learn the mesh generation algorithms from the CG point view.

But there is a difference between CG and scientific computation. That is the purpose of using the mesh. Different purposes need different meshes. There is no optimal mesh for all problems.

For scientific computation, the optimal mesh is actually closely related to the specific initial conditions, boundary conditions and the discretization scheme of the governing equation. How to introduce these factors into the measurement of the optimal mesh is a very important topic. And if you look from a scientific computing point of view, the numerical scheme can't perform well without a good mesh. I think good meshes are not only the high discretization quality of 3D geometric space, but also the high discretization quality of high-dimensional computing space induced by numerical scheme.

Thank you very much for the comments, edits, and answers. I have learned a lot. I try to summarize my answer as the questioner.

In my point of view, the mesh generation algorithms for CG and scientific computation are quick similar. We can learn the mesh generation algorithms from the CG point view.

But there is a difference between CG and scientific computation. That is the purpose of using the mesh. Different purposes need different meshes. There is no optimal mesh for all problems.

For scientific computation, the optimal mesh is actually closely related to the specific initial conditions, boundary conditions and the discretization scheme of the governing equation. How to introduce these factors into the measurement of the optimal mesh is a very important topic. And if you look from a scientific computing point of view, the numerical scheme can't perform well without a good mesh. I think good meshes are not only the high discretization quality of 3D geometric space, but also the high discretization quality of high-dimensional computing space induced by numerical scheme.

Source Link
Dong Ivan
Dong Ivan
  • 115
  • 5

Thank you very much for the comments, edits, and answers. I have learned a lot. I try to summarize my solutions as the questioner.

In my point of view, the mesh generation algorithms for CG and scientific computation are quick similar. We can learn the mesh generation algorithms from the CG point view.

But there is a difference between CG and scientific computation. That is the purpose of using the mesh. Different purposes need different meshes. There is no optimal mesh for all problems.

For scientific computation, the optimal mesh is actually closely related to the specific initial conditions, boundary conditions and the discretization scheme of the governing equation. How to introduce these factors into the measurement of the optimal mesh is a very important topic. And if you look from a scientific computing point of view, the numerical scheme can't perform well without a good mesh. I think good meshes are not only the high discretization quality of 3D geometric space, but also the high discretization quality of high-dimensional computing space induced by numerical scheme.