Publication: A hybrid finite element–finite volume method for conservation laws
A hybrid finite element–finite volume method for conservation laws
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Abgrall, R., & Barsukow, W. (2023). A hybrid finite element–finite volume method for conservation laws. Applied Mathematics and Computation, 447, 127846. https://doi.org/10.1016/j.amc.2023.127846
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We propose an arbitrarily high-order accurate numerical method for conservation laws that is based on a continuous approximation of the solution. The degrees of freedom are point values at cell interfaces and moments of the solution inside the cell. To lowest (3rd ) order this method reduces to the Active Flux method. The update of the moments is achieved immediately by integrating the conservation law over the cell, integrating by parts and employing the continuity across cell interfaces. We propose two ways how the point values can
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- Barsukow, Wasilij
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Abgrall, R., & Barsukow, W. (2023). A hybrid finite element–finite volume method for conservation laws. Applied Mathematics and Computation, 447, 127846. https://doi.org/10.1016/j.amc.2023.127846