Abstract
Adaptive solvers are now widely used in numerical simulations of lots of problems for better accuracy with minimal computational cost. The reasons for choosing adaptive method for the problem (1) are two-folded. First, the grid in the contact zone is often not necessarily as fine as that in the non-contact zone. Secondly, the solution u may have singularity in some local areas.
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Zou, Q. (2011). A Near-Optimal Hierarchical Estimate Based Adaptive Finite Element Method for Obstacle Problems. In: Huang, Y., Kornhuber, R., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11304-8_36
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