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Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization [PDF]

open access: yesIngeniería y Ciencia, 2013
A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided ...
Mauricio Osorio, Donald French
doaj   +2 more sources

Numerical comparison of three a posteriori error estimators for nonconforming finite element method

open access: yesMoroccan Journal of Pure and Applied Analysis, 2023
In this paper, we propose to compare three a posteriori error estimators namely equilibrated, star-based and residual based for the Poisson problem and the Stokes problem with lowest-order Crouzeix-Raviart finite element discretization.
Achchab B.   +3 more
doaj   +1 more source

Stabilizer-free weak Galerkin finite element for linear elastic problems

open access: yes四川大学学报. 自然科学版
Linear elastic problem originates from engineering applications such as machinery and aviation.Due to the complexity of differential equation in the linear elastic problem, the analytic solutions of the problem are still unknown.Although the classical ...
XU Yue, CHEN Yumei, XIE Xiaoping
doaj  

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