A local discontinuous Galerkin method for the propagation of phase transition in solids and fluids

DOI10.1007/s10915-013-9778-9zbMath1297.76106OpenAlexW2167320559MaRDI QIDQ461261

Lulu Tian, J. G. M. Kuerten, J. J. W. van der Vegt, Yan Xu

Publication date: 10 October 2014

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-013-9778-9

zbMATH Keywords

linear stability analysisa priori error analysishyperbolic-elliptic system\(L^2\)-stabilitylocal discontinuous Galerkinphase transition problem

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (6)

Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics ⋮ Error analysis of the semi-discrete local discontinuous Galerkin method for compressible miscible displacement problem in porous media ⋮ A local discontinuous Galerkin method for the (non)-isothermal Navier-Stokes-Korteweg equations ⋮ Numerical solution of Navier-Stokes-Korteweg systems by local discontinuous Galerkin methods in multiple space dimensions ⋮ Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics ⋮ Local discontinuous Galerkin method for the impact-induced wave in a slender cylinder composed of a non-convex elastic material

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