Which are Better Conditioned Meshes Adaptive, Uniform, Locally Refined or Localised

Details Which are Better Conditioned Meshes Adaptive, Uniform, Locally Refined or Localised Which are Better Conditioned Meshes Adaptive, Uniform, Locally Refined or Localised

2006-05-26

arxiv.org/abs/math/0605677v1

Mathematics

Numerical Analysis

4 Pages

Scientific paper

10.1007/11758525_14

Adaptive, locally refined and locally adjusted meshes are preferred over uniform meshes for capturing singular or localised solutions. Roughly speaking, for a given degree of freedom a solution associated with adaptive, locally refined and locally adjusted meshes is more accurate than the solution given by uniform meshes. In this work, we answer the question which meshes are better conditioned. We found, for approximately same degree of freedom (same size of matrix), it is easier to solve a system of equations associated with an adaptive mesh.

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