Invariant Domains Preserving Arbitrary Lagrangian Eulerian Approximation of Hyperbolic Systems with Continuous Finite Elements
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Publication:5738158
DOI10.1137/16M1063034zbMath1365.65222arXiv1603.01184MaRDI QIDQ5738158
Yong Yang, Laura Saavedra, Bojan Popov, Jean-Luc Guermond
Publication date: 31 May 2017
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.01184
finite element methodfirst-order methodarbitrary Lagrangian Eulerianinvariant domainconservation equationsnonlinear hyperbolic systemsmoving schemes
Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes, Entropy stable discontinuous Galerkin schemes on moving meshes for hyperbolic conservation laws, Second-order invariant domain preserving ALE approximation of Euler equations, Second-order invariant domain preserving ALE approximation of hyperbolic systems, Arbitrary Lagrangian-Eulerian Finite Element Method Preserving Convex Invariants of Hyperbolic Systems, Reduced order models for Lagrangian hydrodynamics
Uses Software
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