A convexity enforcing $${C}^{{0}}$$ interior penalty method for the Monge–Ampère equation on convex polygonal domains

نویسندگان

چکیده

Abstract We design and analyze a $$C^0$$ C 0 interior penalty method for the approximation of classical solutions Dirichlet boundary value problem Monge–Ampère equation on convex polygonal domains. The is based an enhanced cubic Lagrange finite element that enables enforcement convexity approximate solutions. Numerical results corroborate priori posteriori error estimates are presented. It also observed from numerical experiments this can capture certain weak

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ژورنال

عنوان ژورنال: Numerische Mathematik

سال: 2021

ISSN: ['0945-3245', '0029-599X']

DOI: https://doi.org/10.1007/s00211-021-01210-x