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math.NA2020
Generalized Beta Prime Distribution Applied to Finite Element Error Approximation
Joel Chaskalovic, Franck Assous
In this paper we propose a new generation of probability laws based on the generalized Beta prime distribution to estimate the relative accuracy between two Lagrange finite element…
math.NA2020
Numerical validation of probabilistic laws to evaluate finite element error estimates
Joel Chaskalovic, Franck Assous
We propose a numerical validation of a probabilistic approach applied to estimate the relative accuracy between two Lagrange finite elements and . In particular,…
math.NA2020
A probabilistic approach for exact solutions of determinist PDE's as well as their finite element approximations
Joel Chaskalovic
A probabilistic approach is developed for the exact solution to a determinist partial differential equation as well as for its associated approximation performed…