Browsing Computational Mathematics (CM) by Subject "Variational formulation"

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A Deep Double Ritz Method (D2RM) for solving Partial Differential Equations using Neural Networks

Uriarte, C.; Pardo, D.; Muga, I.; Muñoz-Matute, J. (2023-02-15)

Residual minimization is a widely used technique for solving Partial Differential Equations in variational form. It minimizes the dual norm of the residual, which naturally yields a saddle-point (min–max) problem over the ...
Stabilized dual-mixed method for the problem of linear elasticity with mixed boundary conditions

Gonzalez, M. (2014-12-31)

We extend the applicability of the augmented dual-mixed method introduced recently in Gatica (2007), Gatica et al. (2009) to the problem of linear elasticity with mixed boundary conditions. The method is based on the ...