Some improvements of invertibility verifications for second-order linear elliptic operators
Applied Numerical Mathematics(2020)
摘要
This paper presents some computer-assisted procedures to prove the invertibility of a second-order linear elliptic operator and to compute a bound for the norm of its inverse. These approaches are based on constructive L2-norm estimates of the Laplacian and improve on previous procedures that use projection and a priori error estimations. Several examples which confirm the actual effectiveness of the procedures are reported.
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关键词
Numerical verification,Solvability of linear problem,Differential operators
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