Publication: Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations
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Hajduk, H., Kuzmin, D., Kolev, T., & Abgrall, R. (2020). Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Computer Methods in Applied Mechanics and Engineering, 359, 112658. https://doi.org/10.1016/j.cma.2019.112658
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In this work, we introduce a new residual distribution (RD) framework for the design of bound-preserving high-resolution finite element schemes. The continuous and discontinuous Galerkin discretizations of the linear advection equation are modified to construct local extremum diminishing (LED) approximations. To that end, we perform mass lumping and redistribute the element residuals in a manner which guarantees the LED property. The hierarchical correction procedure for high-order Bernstein finite element discretizations involves loc
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- Hajduk, Hennes
- Kuzmin, Dmitri
- Kolev, Tzanio
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Hajduk, H., Kuzmin, D., Kolev, T., & Abgrall, R. (2020). Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Computer Methods in Applied Mechanics and Engineering, 359, 112658. https://doi.org/10.1016/j.cma.2019.112658
