Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   present a discontinuous Galerkin method applied to incompressible nonlinear elastostatics in a total Lagrangian deformation-pressure formulation, for which a suitable interior penalty stabilization is applied.  prove that the proposed discrete formulation for the linearized problem is ll-posed, asymptotically consistent and that it converges to the corresponding ak solution. The derived convergence rates are optimal and further confirmed by a set of numerical examples in two and three spatial dimensions.
['Davide Baroli', 'Alfio Quarteroni', 'Ricardo Ruiz-Baier']
I am writing a research paper on a idea Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity
[{"from": "human", "value": "I am writing a research paper on a idea Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   present a discontinuous Galerkin method applied to incompressible nonlinear elastostatics in a total Lagrangian deformation-pressure formulation, for which a suitable interior penalty stabilization is applied.  prove that the proposed discrete formulation for the linearized problem is ll-posed, asymptotically consistent and that it converges to the corresponding ak solution. The derived convergence rates are optimal and further confirmed by a set of numerical examples in two and three spatial dimensions."}]