Estimation of error and adaptivity in mimeti differences for stationary problems
BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS(2022)
摘要
We present a h-adaptive process that defines an optimal mesh to calculate the approximate solution of boundary problems using mimetic numerical schemes. The local error estimate is made from the discrete version of the unidimensional gradient operator, defining an element size in each spatial variable. The numerical experimentation shows the good behavior of the procedure.
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关键词
Mimetic methods, Adaptativity, Error estimation, Optimal mesh, Conservative methods, Finite differences, Remeshing riterion, A posteriori error estimation
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