TY  - JOUR
A1  - Amani, Jafar
A1  - Bagherzadeh, Amir Saboor
A1  - Rabczuk, Timon
T1  - Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method
JF  - Mathematical Problems in Engineering
N2  - Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Amani, Jafar
A1  - Saboor Bagherzadeh, Amir
A1  - Rabczuk, Timon
T1  - Error estimate and adaptive refinement in mixed discrete least squares meshless method
JF  - Mathematical Problems in Engineering
N2  - The node moving and multistage node enrichment adaptive refinement procedures are extended in mixed discrete least squares meshless (MDLSM) method for efficient analysis of elasticity problems. In the formulation of MDLSM method, mixed formulation is accepted to avoid second-order differentiation of shape functions and to obtain displacements and stresses simultaneously. In the refinement procedures, a robust error estimator based on the value of the least square residuals functional of the governing differential equations and its boundaries at nodal points is used which is inherently available from the MDLSM formulation and can efficiently identify the zones with higher numerical errors. The results are compared with the refinement procedures in the irreducible formulation of discrete least squares meshless (DLSM) method and show the accuracy and efficiency of the proposed procedures. Also, the comparison of the error norms and convergence rate show the fidelity of the proposed adaptive refinement procedures in the MDLSM method.
KW  - Elastizität
KW  - Fehlerabschätzung
KW  - MDLSM method
Y1  - 2014
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170413-31181
ER  -