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Adaptive Solution of a Singularly-Perturbed Convection-Diffusion Problem Using a Stabilized Mixed Finite Element Method
(2019-01-05)We explore the applicability of a new adaptive stabilized dual-mixedfinite element method to a singularly-perturbed convection-diffusion equation withmixed boundary conditions. We establish the rate of convergence when the ...
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Necking in 2D incompressible polyconvex materials: theoretical framework and numerical simulations
(2017-06-15)We show examples of 2D incompressible isotropic homogeneous hyperelastic materials with a poly-convex stored-energy function that present necking. The construction of the stored-energy function of amaterial satisfying all ...
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A Simulation Method for the Computation of the E
(2021-03)We propose a set of numerical methods for the computation of the frequency-dependent eff ective primary wave velocity of heterogeneous rocks. We assume the rocks' internal microstructure is given by micro-computed tomography ...
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Stabilization and a posteriori error analysis of a mixed FEM for convection–diffusion problems with mixed boundary conditions
(2020-06-02)We introduce a new augmented dual-mixed finite element method for the linear convection-diffusion equation with mixed boundary conditions. The approach is based on adding suitable residual type terms to a dual-mixed ...