A DG-FEM is defined and analyzed on the Koch snowflake using geometry-conforming fractal elements, with fluxes represented weakly via subdomain integrals evaluated exactly through self-similarity, proving well-posedness and quasi-optimality with numerical demonstrations for linear and quadraticbases
F alconer, Fractal Geometry: Mathematical Foundations and Applications , Wiley, 3rd ed., 2014
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A discontinuous Galerkin method with fractal elements
A DG-FEM is defined and analyzed on the Koch snowflake using geometry-conforming fractal elements, with fluxes represented weakly via subdomain integrals evaluated exactly through self-similarity, proving well-posedness and quasi-optimality with numerical demonstrations for linear and quadraticbases