Nitsche extended finite element method of a Ventcel transmission problem with discontinuities at the interface
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The objective of this work is to study a diffusion equation with non-standard transmission conditions, which include discontinuities and the Ventcel boundary conditions at the interface. To handle jumps and means of the flux and test-functions, we use broken Sobolev spaces. We present a Nitsche finite element approach and compare it with a discontinuous Galerkin method. Consistency, stability and a priori error estimates are proven and numerically verified.
Recommended citation: Daniela Capatina, Fabien Caubet, Marc Dambrine, Rodrigo Zelada. Nitsche extended finite element method of a Ventcel transmission problem with discontinuities at the interface. 2024. (hal-04587596).
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