Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods
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Publication:1633500
DOI10.1007/s10915-018-0802-yzbMath1435.65044OpenAlexW2889483471WikidataQ129321978 ScholiaQ129321978MaRDI QIDQ1633500
Paul Houston, Giorgio Pennesi, Paola Francesca Antonietti
Publication date: 20 December 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0802-y
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
Related Items (21)
Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods ⋮ Modeling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods ⋮ NURBS Enhanced Virtual Element Methods for the Spatial Discretization of the Multigroup Neutron Diffusion Equation on Curvilinear Polygonal Meshes ⋮ Adaptive quadrature/cubature rule: application to polytopes ⋮ A Stokes-Darcy-Darcy model and its discontinuous Galerkin method on polytopic grids ⋮ Evaluation of Inner Products of Implicitly Defined Finite Element Functions on Multiply Connected Planar Mesh Cells ⋮ A hybrid finite volume -- spectral element method for aeroacoustic problems ⋮ Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes ⋮ Error-driven adaptive mesh refinement for unsteady turbulent flows in spectral-element simulations ⋮ The conforming virtual element method for polyharmonic problems ⋮ Algebraic cubature on polygonal elements with a circular edge ⋮ High–order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations ⋮ Polytopal composite finite elements ⋮ A high-order discontinuous Galerkin approach to the elasto-acoustic problem ⋮ A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems ⋮ An efficient method to integrate polynomials over polytopes and curved solids ⋮ Simple formula for integration of polynomials on a simplex ⋮ Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods ⋮ A virtual element method for the wave equation on curved edges in two dimensions ⋮ Quadrature for implicitly-defined finite element functions on curvilinear polygons ⋮ GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes
Uses Software
Cites Work
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