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research article
Anisotropic Adaptive Finite Elements for an Elliptic Problem with Strongly Varying Diffusion Coefficient
May 26, 2022
The elliptic problem - div(mu del u) = f is considered, where mu > 0 is smooth but strongly varying. Anisotropic a posteriori error estimates are derived, the effectivity index being bounded above and below by two constants independent of the data f, mu, the mesh size and aspect ratio, up to higher order terms. Numerical experiments on non-adapted and adapted anisotropic meshes confirm these predictions.
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Name
cmam_2022_0036.pdf
Type
Publisher's version
Access type
openaccess
License Condition
CC BY
Size
2.16 MB
Format
Adobe PDF
Checksum (MD5)
046570059e5e3dfb9c9ea6017779d509