Residual error based adaptive mesh refinement with the non-intrusive patch algorithm

For a given decomposition error, classical minimal residual PGD requires to compute far more space-time modes than necessary compared to the best rank-M approximation.. Then, the

Key words: a posteriori error analysis, adaptive algorithm, two-phase Stefan problem, multiphase compositional Darcy flow, thermal flow, finite volume method, discretization

Thanks to Theorem 5.2, we obtain a first order error estimate, in terms of the space step, for the hybrid 1D-2D finite volume scheme. This proves that the scheme is as accurate as

We introduce a residual-based a posteriori error estimator for contact problems in two and three dimensional linear elasticity, discretized with linear and quadratic finite elements