Mesh design for the p-version of the finite element method.

*(English)*Zbl 0587.73106When properly designed meshes are used then the performance of the p- extension is very close to the best performance attainable by the finite element method. Proper mesh design depends on the exact solution, however. Because the exact solution is not known a priori, initial mesh design is generally based on certain assumptions concerning the exact solution which must be tested in the post-solution phase to ensure reliability and accuracy of data computed from the finite element solution. In this paper general guidelines are presented for prior design of meshes, and procedures for post-solution testing are described and illustrated by examples.

##### MSC:

74S05 | Finite element methods applied to problems in solid mechanics |

74S99 | Numerical and other methods in solid mechanics |

##### Keywords:

elliptic arch; error estimation in energy norm; L-shaped plane-elastic body; structure with many stress singularities; p-extension; mesh design; post-solution testing
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\textit{B. A. Szabó}, Comput. Methods Appl. Mech. Eng. 55, 181--197 (1986; Zbl 0587.73106)

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##### References:

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