Absolute p-Refinement of Two-Dimensional Elasticity Problems in the Vicinity of Boundary Solution Singularities

Urekew, Timothy J.; Rencis, Joseph J.

doi:10.1007/978-3-642-84238-2_25

Cited by 2 publications

(2 citation statements)

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“…In BEM this implies that the density function is determined such that the given boundary conditions are satisfied. Using equation (8) the function H(s G ) can be determined. For a given mesh D G can be found from equation (3), and thus G*(s G ) can be found from equation (7).…”

Section: Equations In Mesh Optimizationmentioning

confidence: 99%

“…Thus we could rewrite equation (5) as G(s G )"i/N and find the roots s G , which gives us the location of element ends for the new mesh. But implementation needs require an alternate path that is tied to the evaluation of equation (8) and the need to account for discontinuity in the density functions as discussed in the next two sections.…”

Section: Equations In Mesh Optimizationmentioning

confidence: 99%

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An HR-method of mesh refinement for boundary element method

Ammons

Vable

1998

Int. J. Numer. Meth. Engng.

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This paper describes a mesh refinement technique for boundary element method in which the number of elements, the size of elements and the element end location are determined iteratively in order to obtain a user specified accuracy. The method uses¸ norm as a measure of error in the density function and a grading function that ensures that error over each element is the same. The use of grading function along with¸ norm makes the mesh refinement technique applicable to Direct and Indirect boundary element method formulation for a variety of boundary element method applications. Numerical problems in elastostatics, fracture mechanics, and bending of plate solved using Direct and Indirect method in which the density functions are approximated by Linear Lagrange, Quadratic Lagrange or Cubic Hermite polynomials validate the effectiveness of the proposed mesh refinement technique.

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Section: Equations In Mesh Optimizationmentioning

confidence: 99%

Section: Equations In Mesh Optimizationmentioning

confidence: 99%