A modified superconvergent patch recovery method and its application to large deformation problems

Authors:
H. Gu;Z. Zong;K. C. Hung
Affiliations:
Institute of High Performance Computing, Singapore, 1 Science Park Road, #01-01 The Capricorn, Singapore Science Park II, Singapore 117528, Singapore;Institute of High Performance Computing, Singapore, 1 Science Park Road, #01-01 The Capricorn, Singapore Science Park II, Singapore 117528, Singapore;Institute of High Performance Computing, Singapore, 1 Science Park Road, #01-01 The Capricorn, Singapore Science Park II, Singapore 117528, Singapore
Venue:
Finite Elements in Analysis and Design
Year:
2004

Citing 2
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Abstract

For nonlinear problems, it is shown that the accuracy and stability of superconvergent patch recovery (SPR) method can be remarkably improved through the modifications introduced in this paper. These modifications are (1) use of integration points as sampling points, (2) weighted average procedure and (3) introduction of additional nodes. They are validated through numerical investigations of several large deformation problems. Based on the modified SPR procedure, a new scheme for submodeling finite element analysis is developed. Comparison of the numerical results obtained from this new scheme and traditional method shows encouraging improvements.