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This higher order element allows capturing warping and non-uniform stretching distribution.
Furthermore, this higher order element allows for increasing the degree of continuity at the element interface.
The differences between the cross section deformation modes obtained using the new higher order element and those obtained using the previously developed lower order elements are highlighted.
For the higher order element discretization method, the special concerns are given to the numerical calculations of the single-layer potential, the double layer potential and the solid angle coefficients.
Due to localizability of the discontinuous Galerkin method, it is easy to construct higher order element to obtain higher order accuracy and to derive highly parallel algorithms.
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To overcome this, higher order elements and isoperimetric higher order elements have been used.
At first, a criterion is obtained for constant element and consequently higher order elements are investigated.
The integrals are computed for constant, linear and higher order elements when the geometry of the boundary elements is straight.
Efforts to improve accuracy by use of higher order elements are strongest in the area of three-dimensional analysis.
There are three methods within Autodesk Inventor Simulation that can be used to enhance the accuracy of the results: P-refinement, H-refinement, and higher order elements.
However, one significant limitation of the analysis was the use of linear elements, which have proven to be less accurate than higher order elements for nonlinear materials such as soils.
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