Application of parallel hp adaptive codes for efficient accurate solving of 2D and 3D problems

Maciej Paszyński, Leszek Demkowicz

AGH University of Science and Technology.

DOI:

https://doi.org/10.7494/cmms.2005.4.0078

Abstract:

In many engineering problems the finite element method domain consists in areas described by different material constants. In such a case, there are singularities of the numerical solution at interfaces of different materials. To minimize the error of the solution, the finite element mesh must be refined. This paper presents a description of a 2D and 3D parallel fully automatic hp-adaptive finite element codes. The codes refine in a fully automatic mode initial finite element mesh in order to minimize error of the numerical solution. The hp adaptive strategy delivers fastest convergence of the size of the finite element mesh with respect to the error of the solution of the problem under consideration, within all known adaptive strategies. The parallelization of the hp adaptive codes allows use the strategy to solve large engineering problems in reasonable time.

Cite as:

Paszyński, M., Demkowicz, L. (2005). Application of parallel hp adaptive codes for efficient accurate solving of 2D and 3D problems. Computer Methods in Materials Science, 5(4), 121 – 141. https://doi.org/10.7494/cmms.2005.4.0078

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