TrioCFD 1.9.8
TrioCFD documentation
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Masse_DG_Elem.h
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15
16#ifndef Masse_DG_Elem_included
17#define Masse_DG_Elem_included
18
19#include <Masse_DG_base.h>
20
21/**
22 * @brief Concrete DG mass operator for element-based unknowns.
23 *
24 * This class provides the implementation of appliquer_impl(), which applies the
25 * inverse mass matrix M^{-1} to a right-hand side vector. It is used for explicit
26 * time stepping or for any operation requiring M^{-1} * v element-by-element.
27 *
28 * Two strategies are used depending on the basis orthonormalization flag:
29 * - **Orthonormal basis**: M is diagonal with entries equal to element volumes,
30 * so M^{-1} * v reduces to a simple element-wise division by volume via
31 * tab_divide_any_shape().
32 * - **Non-orthonormal basis**: M^{-1} is computed locally per element via
33 * BasisFunction::eval_invMassMatrix() and applied by a dense matrix-vector
34 * product for each spatial component independently.
35 *
36 * @sa Masse_DG_base, BasisFunction::eval_invMassMatrix
37 */
39{
40 Declare_instanciable(Masse_DG_Elem);
41public:
42 DoubleTab& appliquer_impl(DoubleTab&) const override;
43};
44
45#endif /* Masse_DG_Elem_included */
Concrete DG mass operator for element-based unknowns.
DoubleTab & appliquer_impl(DoubleTab &) const override
Applies the inverse mass matrix M^{-1} to the right-hand side vector sm in-place.
Abstract base class for the DG mass matrix operator.