An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of elliptic interface problems and conjugate heat transfer problems

DOI10.1016/j.jcp.2014.08.035zbMath1349.80034OpenAlexW2098171572MaRDI QIDQ349681

David L. Darmofal, Huafei Sun

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.08.035

zbMATH Keywords

adaptationconjugate heat transferdiscontinuous Galerkinhigh-order methodinterface problemscut cells

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (7)

Adaptive discontinuous Galerkin methods for elliptic interface problems ⋮ Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts ⋮ High‐order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing ⋮ Non-negative moment fitting quadrature rules for fictitious domain methods ⋮ Simulating compressible two-medium flows with sharp-interface adaptive Runge-Kutta discontinuous Galerkin methods ⋮ Semi-decoupling hybrid asymptotic and augmented finite volume method for nonlinear singular interface problems ⋮ Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems

Uses Software

• bamg
• SPLITFLOW

Cites Work

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