A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source
نویسندگان
چکیده
In this paper, we investigate a hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac measures. Under assumption that the domain is convex and mesh quasi-uniform, priori error estimate in L 2 -norm proved. By duality argument Oswald interpolation, posteriori estimates errors W 1, p -seminorm are also obtained. Finally, numerical examples provided to validate theoretical analysis.
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ژورنال
عنوان ژورنال: ESAIM
سال: 2022
ISSN: ['1270-900X']
DOI: https://doi.org/10.1051/m2an/2022005