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Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
Author(s) -
Wiberg NilsErik,
Abdulwahab Fethi,
Ziukas Saulius
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620372003
Subject(s) - superconvergence , residual , elasticity (physics) , finite element method , boundary (topology) , linear elasticity , mathematics , boundary value problem , mathematical optimization , mathematical analysis , geometry , structural engineering , materials science , engineering , algorithm , composite material
Patch recovery based on superconvergent derivatives and equilibrium (SPRE), an enhancement of the Superconvergent Patch Recovery (SPR), is studied for linear elasticity problems. The paper also presents a further improvement for recovery of derivatives near boundaries, SPREB, where either tractions or displacements are prescribed. This is made by inclusion of weighted residual errors at boundary points in the patch recovery. A pronounced improvement in the post processed gradients of the finite element solution is observed by this method.