Inclusion method of optimal constant with quadratic convergence for H 0 1 -projection error estimates and its applications
Journal of Computational and Applied Mathematics(2023)
摘要
We present an interval inclusion method for optimal constants of second-order error estimates of H 0 1 -projections to finite-degree polynomial spaces. These constants can be applied to error estimates of the Lagrange-type finite element method. Moreover, the proposed a priori error estimates are applicable to residual iteration techniques for the verification of solutions to nonlinear elliptic equations. Some numerical examples by the finite element method will be shown for comparison with other approaches, which confirm us the actual usefulness of the results in this paper for the numerical verification method for PDEs.
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关键词
optimal constant,quadratic convergence,<mmlmath xmlnsmml=http//wwww3org/1998/math/mathml
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