Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems
DOI10.1051/m2an/2020049zbMath1501.65028OpenAlexW3044743104WikidataQ115554684 ScholiaQ115554684MaRDI QIDQ4958847
Ahmad El Hajj, A. Oussaily, Rachida Boudjerada
Publication date: 15 September 2021
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2020049
implicit upwind schemediscrete gradient estimatestransport systemsdiagonal non-conservative hyperbolic systemsLipschitz discrete solutionsmonotone discrete solutions
Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Nonlinear first-order PDEs (35F20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite difference methods for boundary value problems involving PDEs (65N06) Hamilton-Jacobi equations in mechanics (70H20) PDEs in connection with mechanics of deformable solids (35Q74) Hamilton-Jacobi equations (35F21) Existence of solutions of equilibrium problems in solid mechanics (74G22)
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