Discontinuous Galerkin Isogeometric Analysis for The Biharmonic Equation

Abstract

We present and analyze an interior penalty discontinuous Galerkin Isogeometric Analysis (dG-IgA) method for the biharmonic equation in computational domain in ${\mathbb{R}}^d$ with $d=2,3.$ The computational domain consist of several non-overlapping sub-domains or patches. We construct B-Spline approximation spaces which are discontinuous across patch interfaces. We present a priori error estimate in a discrete norm and numerical experiments to confirm the theory.

21 pages, 8figures

References in corpus (2)

• Multipatch Discontinuous Galerkin Isogeometric Analysis
• Discontinuous Galerkin Isogeometric Analysis for The Biharmonic Equation

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• Construction of approximate $C^1$ bases for isogeometric analysis on two-patch domains
• Multipatch Discontinuous Galerkin IGA for the Biharmonic Problem On Surfaces
• Discontinuous Galerkin Isogeometric Analysis for Elliptic Problems with Discontinuous Coefficients on Surfaces