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• W2851699097 abstract "We introduce an approximation technique for nonlinear hyperbolic systems with sources that is invariant domain preserving. The method is discretization-independent provided elementary symmetry and skew-symmetry properties are satisfied by the scheme. The method is formally first-order accurate in space. A series of higher-order methods is also introduced. When these methods violate the invariant domain properties, they are corrected by a limiting technique that we call convex limiting. After limiting, the resulting methods satisfy all the invariant domain properties that are imposed by the user (see Theorem~7.24). A key novelty is that the bounds that are enforced on the solution at each time step are necessarily satisfied by the low-order approximation." @default.
• W2851699097 created "2018-07-19" @default.
• W2851699097 creator A5001592507 @default.
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• W2851699097 date "2019-04-01" @default.
• W2851699097 modified "2023-10-17" @default.
• W2851699097 title "Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems" @default.
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• W2851699097 doi "https://doi.org/10.1016/j.cma.2018.11.036" @default.
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