Extends operator-equation formulations for sound-soft scattering to multifractal obstacles via Radon measures, establishes equivalence to integral equations under trace and singular-integral conditions, and proves Galerkin convergence for unions of d-sets including IFS attractors.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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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
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Integral Equation Methods for Scattering by Multifractal Obstacles
Extends operator-equation formulations for sound-soft scattering to multifractal obstacles via Radon measures, establishes equivalence to integral equations under trace and singular-integral conditions, and proves Galerkin convergence for unions of d-sets including IFS attractors.
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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