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- W4318833580 abstract "<abstract><p>In this work, we develop two IFEMs for convection-diffusion equations with interfaces. We first define bilinear forms by adding judiciously defined convection-related line integrals. By establishing Gårding's inequality, we prove the optimal error estimates both in $ L^2 $ and $ H^1 $-norms. The second method is devoted to the convection-dominated case, where test functions are piecewise constant functions on vertex-associated control volumes. We accompany the so-called upwinding concepts to make the control-volume based IFEM robust to the magnitude of convection terms. The $ H^1 $ optimal error estimate is proven for control-volume based IFEM. We document numerical experiments which confirm the analysis.</p></abstract>" @default.
- W4318833580 created "2023-02-02" @default.
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- W4318833580 date "2023-01-01" @default.
- W4318833580 modified "2023-09-25" @default.
- W4318833580 title "Immersed finite element methods for convection diffusion equations" @default.
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- W4318833580 doi "https://doi.org/10.3934/math.2023407" @default.
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