Discontinuous Galerkin isogeometric analysis for the biharmonic equation

DOI10.1016/j.camwa.2018.05.001zbMath1428.65092arXiv1703.02726OpenAlexW2596984088MaRDI QIDQ2334881

Stephen Edward Moore

Publication date: 8 November 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02726

zbMATH Keywords

biharmonic equationdiscontinuous Galerkin methodsa priori error analysisisogeometric analysishigh order elliptic equationsmulti-patches

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (7)

Almost-\(C^1\) splines: biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems ⋮ On the robust solution of an isogeometric discretization of bilaplacian equation by using multigrid methods ⋮ Discontinuous Galerkin isogeometric analysis for elliptic problems with discontinuous diffusion coefficients on surfaces ⋮ Construction of approximate \(C^1\) bases for isogeometric analysis on two-patch domains ⋮ On the application of isogeometric finite volume method in numerical analysis of wet-steam flow through turbine cascades ⋮ An approximate \(C^1\) multi-patch space for isogeometric analysis with a comparison to Nitsche's method ⋮ Geometrically consistent aerodynamic optimization using an isogeometric discontinuous Galerkin method

Uses Software

• SuperLU
• G+Smo

Cites Work

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