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Their advantage is that they do not require any explicit mesh in computation.
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The principle of this method is to use the a posteriori error estimate indicator to guide local mesh refinement in computation; in such a way denser meshes are only used where the value of the indicator is larger and the solution is more singular, and consequently the degree of freedoms may be greatly reduced on those only locally refined meshes.
The different densities of element mesh are always used in computation in order to get a high accuracy of the result, and this always leads to an interface-coupled problem between fine meshand coarse mesh.
Compared with the O-scheme, the P3-scheme is much more robust with respect to the distortion of the meshes, and has lower cost in computation and storage.
In particular, only the initial coarse mesh, with proper weighting, is balanced which yields savings in computation time and relatively simple implementation of mesh quality preservation rules, while facilitating coarsening of refined elements.
Tests on 3-D examples with up to 108 degrees of freedom show that with a recently developed hybrid solver, the use of coarser meshes can lead to corresponding savings in computation time, resulting in good simulation times compared to the literature.
Data bombs force computers to make mistakes in computation.
In computation of fluid structure interactions involving large displacements, we use a mesh update method composed of mesh moving and remeshing-as-needed.
Two-dimensional square mesh for computation.
NYC Mesh in particular is seeking collaborators.
Staple the mesh in place.
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