Originalversjon
GEM - International Journal on Geomathematics. 2023, 14 (1):18, DOI: https://doi.org/10.1007/s13137-023-00228-7
Sammendrag
Abstract We formulate a hybridizable discontinuous Galerkin method for parabolic equations with non-linear tensor-valued coefficients and jump conditions (Henry’s law). The analysis of the proposed scheme indicates the optimal convergence order for mildly non-linear problems. The same order is also obtained in our numerical studies for simplified settings. A series of numerical experiments investigate the effect of choosing different order approximation spaces for various unknowns.