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<p>In this work we address the problem of finding serendipity versions of approximate de Rham complexes with enhanced regularity. The starting point is a new abstract construction of general scope which, given three complexes linked by extension and reduction maps, generates a fourth complex with cohomology isomorphic to the former three. This construction is used to devise new serendipity versions of rot–rot and Stokes complexes derived in the Discrete de Rham spirit.</p>

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Serendipity discrete complexes with enhanced regularity

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月15日

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  • Daniele A. Di Pietro,
  • Marien Hanot,
  • Marwa Salah

摘要

In this work we address the problem of finding serendipity versions of approximate de Rham complexes with enhanced regularity. The starting point is a new abstract construction of general scope which, given three complexes linked by extension and reduction maps, generates a fourth complex with cohomology isomorphic to the former three. This construction is used to devise new serendipity versions of rot–rot and Stokes complexes derived in the Discrete de Rham spirit.