A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces

DOI10.1137/16M1102227zbMath1377.65033MaRDI QIDQ4591217

Holger Heumann, Lukas Drescher, Kersten Schmidt

Publication date: 13 November 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencefinite element methoderror estimatecontournumerical experimentcurved interfacescoarea formulahigh-order quadraturehypersurface integrals

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Tokamak free-boundary plasma equilibrium computation using finite elements of class \(\mathcal{C}^0\) and \(\mathcal{C}^1\) within a mortar element approach, A Galerkin method for the weak formulation of current diffusion and force balance in tokamak plasmas, High-order quadrature on multi-component domains implicitly defined by multivariate polynomials, Numerical integration over implicitly defined domains with topological guarantee

Uses Software

• Concepts
• CHEASE
• XTOR

Cites Work

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