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1996•IEEE Transactions on MagneticsRequires access

Error estimation and adaptive mesh generation in the 2D and 3D finite element method

L. Jänicke, A. Kost

Open publisher page 58 citations

Abstract

In order to obtain good results from the finite element method the mesh used should suit the behaviour of the field. The adaptive mesh generation offers an automatic way to generate meshes fitting the problem. In this paper the effectiveness of the adaptive mesh generation is measured by comparing the error in the field solution of uniformly and adaptively generated meshes both for the 2D and the 3D case.

About this research paper

What this paper is about

In order to obtain good results from the finite element method the mesh used should suit the behaviour of the field. The adaptive mesh generation offers an automatic way to generate meshes fitting the problem. In this paper the effectiveness of the adaptive mesh generation is measured by comparing the error in the field solution of uniformly and adaptively generated meshes both for the 2D and the 3D case.

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OpenAlex reports 58 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

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Method / approach

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Available abstract

In order to obtain good results from the finite element method the mesh used should suit the behaviour of the field. The adaptive mesh generation offers an automatic way to generate meshes fitting the problem. In this paper the effectiveness of the adaptive mesh generation is measured by comparing the error in the field solution of uniformly and adaptively generated meshes both for the 2D and the 3D case.

Key concepts: Polygon mesh, Mesh generation, Finite element method, Computer science, Adaptive mesh refinement, Volume mesh, Algorithm, Field (mathematics)

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