Publication: General polytopal H(div)-conformal finite elements and their discretisation spaces
General polytopal H(div)-conformal finite elements and their discretisation spaces
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Abgrall, R., Le Mélédo, É., & Öffner, P. (2021). General polytopal H(div)-conformal finite elements and their discretisation spaces. ESAIM Mathematical Modelling and Numerical Analysis, 55, S677–S704. https://doi.org/10.1051/m2an/2020048
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We present a class of discretisation spaces and H(div)-conformal elements that can be built on any polytope. Bridging the flexibility of the Virtual Element spaces towards the element’s shape with the divergence properties of the Raviart–Thomas elements on the boundaries, the designed frameworks offer a wide range of H(div)-conformal discretisations. As those elements are set up through degrees of freedom, their definitions are easily amenable to the properties the approximated quantities are wished to fulfil. Furthermore, we show tha
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- Le Mélédo, Élise
- Öffner, Philipp
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Abgrall, R., Le Mélédo, É., & Öffner, P. (2021). General polytopal H(div)-conformal finite elements and their discretisation spaces. ESAIM Mathematical Modelling and Numerical Analysis, 55, S677–S704. https://doi.org/10.1051/m2an/2020048
