TY - JOUR
T1 - Convergence of stress maxima in finite element computations
AU - Yosibash, Zohar
AU - Szabó, Barna A.
PY - 1994/9
Y1 - 1994/9
N2 - The convergence of stress maxima, computed directly from finite element solutions, is investigated with respect to a family of exact solutions characterized by varying degrees of smoothness. The performances of h‐ and p‐extensions and the product and trunk spaces are evaluated and documented with respect to a family of benchmark problems. In uniform p‐extensions a characteristic pattern in the convergence of stress maxima was observed. There does not appear to be a clear‐cut advantage of the product space over the trunk space in this respect. The much faster convergence of stress maxima in the case of p‐extensions, as compared with h‐extensions, is evident from the results.
AB - The convergence of stress maxima, computed directly from finite element solutions, is investigated with respect to a family of exact solutions characterized by varying degrees of smoothness. The performances of h‐ and p‐extensions and the product and trunk spaces are evaluated and documented with respect to a family of benchmark problems. In uniform p‐extensions a characteristic pattern in the convergence of stress maxima was observed. There does not appear to be a clear‐cut advantage of the product space over the trunk space in this respect. The much faster convergence of stress maxima in the case of p‐extensions, as compared with h‐extensions, is evident from the results.
UR - http://www.scopus.com/inward/record.url?scp=0028498561&partnerID=8YFLogxK
U2 - 10.1002/cnm.1640100903
DO - 10.1002/cnm.1640100903
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AN - SCOPUS:0028498561
SN - 1069-8299
VL - 10
SP - 683
EP - 697
JO - Communications in Numerical Methods in Engineering
JF - Communications in Numerical Methods in Engineering
IS - 9
ER -