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Variational Mesh Adaptation Methods for Axisymmetrical Problems
SIAM Journal on Numerical Analysis
We study variational mesh adaptation for axially symmetric solutions to twodimensional problems. The study is focused on the relationship between the mesh density distribution and the monitor function and is carried out for a traditional functional that includes several widely used variational methods as special cases and a recently proposed functional that allows for a weighting between mesh isotropy (or regularity) and global equidistribution of the monitor function. The main results aredoi:10.1137/s0036142902401591 fatcat:afy57p6dpnhiznioyjn236gfri