Numerical verification of solutions for obstacle problems

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摘要

This article is an extension of the previous paper (Numer. Math. 81 (1998) 305) by the same authors. We propose a method to prove the existence of solutions for more general obstacle problems by numerical computations. The main task in this paper consists of the numerical determination of some constants which appear in a priori error estimations for the finite element approximation of a simple variational inequality. We present a numerical example for verification.

论文关键词:Numerical verification,Obstacle problems,Error estimates,Quadratic programming

论文评审过程:Received 19 August 2002, Revised 6 May 2003, Available online 16 October 2003.

论文官网地址:https://doi.org/10.1016/j.cam.2003.05.006