A note on a priori $$\mathbf {L^p}$$Lp-error estimates for the obstacle problem
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DOI: 10.1007/s00211-017-0931-5
Abstract: This paper is concerned with a priori error estimates for the piecewise linear finite element approximation of the classical obstacle problem. We demonstrate by means of two one-dimensional counterexamples that the $$L^2$$L2-error between the exact… read more here.
Keywords: note priori; obstacle problem; error estimates; priori mathbf ... See more keywords
A wavelet-based adaptive mesh refinement method for the obstacle problem
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DOI: 10.1007/s00366-017-0559-1
Abstract: In this paper, a fast computational technique based on adaptive mesh generation for numerical solution of the obstacle problem is considered. The obstacle problem is an elliptic variational inequality problem, where its solution divides the… read more here.
Keywords: method; adaptive mesh; based adaptive; obstacle problem ... See more keywords
Generalized Derivatives for the Solution Operator of the Obstacle Problem
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DOI: 10.1007/s11228-019-0506-y
Abstract: We characterize generalized derivatives of the solution operator of the obstacle problem. This precise characterization requires the usage of the theory of so-called capacitary measures and the associated solution operators of relaxed Dirichlet problems. The… read more here.
Keywords: derivatives solution; obstacle problem; generalized derivatives;
A two obstacle problem with variable exponent and measure data
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DOI: 10.3906/mat-1409-9
Abstract: Abstract: We consider a two-obstacle problem with measure data. For measures that do not charge sets of zero p(ยท)capacity, we obtain the existence and uniqueness of the solution. On the other hand, for the measure… read more here.
Keywords: two obstacle; measure data; measure; obstacle problem ... See more keywords