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- W3149431058 abstract "The objective of this chapter is to describe techniques for the solution of hyperbolic systems that are at least (informally) second-order accurate in space and invariant domain preserving. As seen in the previous chapter, one can make the method more accurate in space by decreasing the first-order graph viscosity. Another technique, which is very efficient when working with nonsmooth data or with solutions with shocks or contact discontinuities, consists of using the consistent mass matrix instead of the lumped mass matrix in the approximation of the time derivative. These two techniques increase the accuracy in space but deliver an update that can step out of the invariant domain. We then show that this defect can be corrected by applying a conservative convex limiting technique." @default.
- W3149431058 created "2021-04-13" @default.
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- W3149431058 date "2021-01-01" @default.
- W3149431058 modified "2023-10-16" @default.
- W3149431058 title "Higher-order approximation and limiting" @default.
- W3149431058 doi "https://doi.org/10.1007/978-3-030-57348-5_83" @default.
- W3149431058 hasPublicationYear "2021" @default.
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