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A set of pathological tests to validate new finite elements

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Abstract

The finite element method entails several approximations. Hence it is essential to subject all new finite elements to an adequate set of pathological tests in order to assess their performance. Many such tests have been proposed by researchers from time to time. We present an adequate set of tests, which every new finite element should pass. A thorough account of the patch test is also included in view of its significance in the validation of new elements.

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  1. Department of Mechanical Engineering, Indian Institute of Science, 560 012, Bangalore, India

    K. Mallikarjuna Rao & U. Shrinivasa

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  1. K. Mallikarjuna Rao
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  2. U. Shrinivasa
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Correspondence to U. Shrinivasa.

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Rao, K.M., Shrinivasa, U. A set of pathological tests to validate new finite elements. Sadhana 26, 549–590 (2001). https://doi.org/10.1007/BF02703459

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