A priori error analysis of discontinuous Galerkin isogeometric analysis approximations of Burgers on surface
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Publication:2072676
DOI10.1016/j.cma.2021.114342OpenAlexW4200220853WikidataQ114196867 ScholiaQ114196867MaRDI QIDQ2072676
Xinpeng Yuan, Liang Wang, Chunguang Xiong, Hui-bin Wu
Publication date: 26 January 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2021.114342
manifoldsurfaceBurgers equationa priori error estimatediscontinuous Galerkin (DG)isogeometric analysis (IgA)
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)
Cites Work
- Unnamed Item
- Isogeometric boundary element analysis using unstructured T-splines
- Isogeometric shell analysis: the Reissner-Mindlin shell
- High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations
- Isogeometric analysis for second order partial differential equations on surfaces
- Analysis of the discontinuous Galerkin method for elliptic problems on surfaces
- Isogeometric Analysis
- Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
- High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces
- A continuous/discontinuous Galerkin method and a priori error estimates for the biharmonic problem on surfaces
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES