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math.NA2021
Error analysis of an unfitted HDG method for a class of non-linear elliptic problems
Nestor Sánchez, Tonatiuh Sánchez-Vizuet, Manuel E. Solano
We study Hibridizable Discontinuous Galerkin (HDG) discretizations for a class of non-linear interior elliptic boundary value problems posed in curved domains where both the source…
math.NA2019
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems
Nestor Sánchez, Tonatiuh Sánchez-Vizuet, Manuel E. Solano
We present a priori and a posteriori error analysis of a high order hybridizable discontinuous Galerkin (HDG) method applied to a semi-linear elliptic problem posed on a piecewise…