Adaptive Numerical Methods

Adaptive numerical methods offer greater computational efficiency than traditional numerical methods by concentrating computational effort in regions requiring greatest resolution. Some common adaptive methods are
  • Adaptive order (p-) enrichment varies the degree of the approximation. The degrees of individual elements are indicated by varying colors in the pictures below.
  • Adaptive mesh (h-) refinement varies the number and size of elements. In the figure below, two levels of mesh refinement have been added to a uniform 16x16-element mesh.
  • Adaptive hp-refinement combines mesh refinement and order enrichment. High-order elements can be used in smooth regions, while refined elements are used near steep fronts.
  • Last Updated: October 15, 1997
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