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A self-adaptive mesh refinement technique for boundary element solution of the Laplace equation.

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Abstract

A self-adaptive mesh refinement technique is developed for boundary element solutions of the two-dimensional Laplace equation. The method is based on error reduction and applied on the element and global level to estimate the error associated with each mesh. This adaptive technique is then utilized to analyze problems with and without singularities. Results employing constant two-dimensional boundary elements are presented.

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References

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Communicated by S. N. AtLuri, June 5, 1987

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Rencis, J.J., Mullen, R.L. A self-adaptive mesh refinement technique for boundary element solution of the Laplace equation.. Computational Mechanics 3, 309–319 (1988). https://doi.org/10.1007/BF00712145

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Keywords

  • Information Theory
  • Boundary Element
  • Global Level
  • Element Solution
  • Laplace Equation