We'll also cover the key concept behind the finite element method, which is the stiffness matrix, including how the element stiffness matrices are derived, using techniques like the Galerkin ...

The governing nonlinear ordinary differential equations representation is fixed numerically by the weighted residual method (Galerkin method) The computed results are visualized graphically, and the ...

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Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks This work concerns the enrichment of Discontinuous Galerkin (DG) bases, so that ...

Keywords: discontinuous Galerkin method, HLLC flux, curved element, high order accuracy, transonic flow simulation, hypersonic flow simulation Citation: Huang S, Yin J, Xu L and Li B (2022) ...

The GSTCs are incorporated in the updating equations of the standard DGTD algorithm by integrating the time-domain GSTCs formula with Galerkin’ s-weighted residual method. The DGTD-GSTC formulation ...