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Creators/Authors contains: "Nazarov, Murtazo"

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  1. ; ; (, Computer Methods in Applied Mechanics and Engineering)
    This paper proposes an invariant-domain preserving approximation technique for nonlinear conservation systems that is high-order accurate in space and time. The algorithm mixes a high order finite element method with an invariant-domain preserving low-order method that uses the closest neighbor stencil. The construction of the flux of the low-order method is based on an idea from Abgrall et al. (2017). The mass flux of the low-order and the high-order methods are identical on each finite element cell. This allows for mass preserving and invariant-domain preserving limiting. 
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  2. ; (, SIAM Journal on Scientific Computing)
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