Lectures

S1: Variational Approximation Notes

Variational formulations and Sobolev spaces Slides

Variational formulations and Sobolev spaces TD1

Coercives problems: Lax-Miligram theorem Slides

Coercives problems: Lax-Miligram theorem TD2

Galerkin Approximation & a priori analysis Slides1

Galerkin Approximation & a priori analysis Slides2

Galerkin Approximation and a priori analysis TD3

inf-sup theory: Babushka theorem Slides

inf-sup theory: Babushka theorem TD5

inf-sup theory: Brezzi theorem Slides

inf-sup theory: Brezzi theorem and Fortin's trick TD6

Variational approximation: solutions of some exercises

Variational approximation: Home-work 2025-26 Homework

Variational approximation: Exam 2024-25 Exam

S1: Numerial Analysis NA

Best approximation in the infinty norm Slides

Best approximation in the infinty norm Homework1

Best approximation in the infinty norm Slides

Best approximation in the infinty norm TP1

Characterization of the minmax approxi Slides

Best approximation in the infinty norm Homework2

Best approximation in the L2 norm LS Slides

Best approximation in the L2 norm LS Homework3

Numerical quadratures rules (Num-Int) Slides

Numerical quadratures rules (Num-Int) Homework4

Approximation by Neural Networks NNs Slides

Approximation by Neural Networks NN Homework5

Numerical Analysis: Exam 2024-25 Exam

S3: A posteriori error estimate EEP

A posteriori error analysis by duality Slides

A posteriori error analysis by duality TD1

Residual a posteriori error analysis Slides

Residual a posteriori error analysis TD2

A posteriori analysis by flux-recon Slides

A posteriori error analysis by fluxrec TD3

A posteriori error analysis by fluxrec TP

A posteriori error analysis for VarIne Slides

A posteriori error analysis for VarIne by hypercircle method Slides

A posteriori error analysis for VarIne TD4-fr

A posteriori error analysis for VarIne TD4-eng

A posteriori error analysis: Exam 2022 Exam

A posteriori error analysis: Exam 2025 CC.Exam