FOV-equivalent block triangular preconditioners for generalized saddle-point problems. - Eugenio Aulisa; Sara Calandrini; Giacomo Capodaglio (Appl. Math. Lett., 2018)

An improved multigrid algorithm for n-irregular meshes with subspace correction smoother. - Eugenio Aulisa; Sara Calandrini; Giacomo Capodaglio (Comput. Math. Appl., 2018)

Piecewise polynomial approximation of probability density functions with application to uncertainty quantification for stochastic PDEs. - Giacomo Capodaglio; Max D. Gunzburger (CoRR, 2019)

A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient. - Eugenio Aulisa; Giacomo Capodaglio; Guoyi Ke (CoRR, 2019)

Construction of H-Refined Continuous Finite Element Spaces with Arbitrary Hanging Node Configurations and Applications to Multigrid Algorithms. - Eugenio Aulisa; Giacomo Capodaglio; Guoyi Ke (SIAM J. Sci. Comput., 2019)

An energy-based coupling approach to nonlocal interface problems. - Giacomo Capodaglio; Marta D'Elia; Pavel B. Bochev; Max D. Gunzburger (CoRR, 2020)

A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions. - Giacomo Capodaglio; Marta D'Elia; Max D. Gunzburger; Pavel B. Bochev; Manuel Klar 001; Christian Vollmann (CoRR, 2020)

Efficient quadrature rules for finite element discretizations of nonlocal equations. - Eugenio Aulisa; Giacomo Capodaglio; Andrea Chierici; Marta D'Elia (CoRR, 2021)

Local time stepping for the shallow water equations in MPAS-Ocean. - Giacomo Capodaglio; Mark R. Petersen (CoRR, 2021)

Local time stepping for the shallow water equations in MPAS. - Giacomo Capodaglio; Mark R. Petersen (J. Comput. Phys., 2022)

CFL Optimized Forward-Backward Runge-Kutta Schemes for the Shallow Water Equations. - Jeremy R. Lilly; Darren Engwirda; Giacomo Capodaglio; Robert L. Higdon; Mark R. Petersen (CoRR, 2023)

An unstructured CD-grid variational formulation for sea ice dynamics. - Giacomo Capodaglio; Mark R. Petersen; Adrian K. Turner; Andrew F. Roberts (J. Comput. Phys., 2023)

An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps. - Christian Glusa; Marta D'Elia; Giacomo Capodaglio; Max D. Gunzburger; Pavel B. Bochev (SIAM J. Sci. Comput., 2023)

A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. - Manuel Klar 001; Giacomo Capodaglio; Marta D'Elia; Christian Glusa; Max D. Gunzburger; Christian Vollmann (Comput. Math. Appl., 2023)

Local time-stepping for the shallow water equations using CFL optimized forward-backward Runge-Kutta schemes. - Jeremy R. Lilly; Giacomo Capodaglio; Darren Engwirda; Robert L. Higdon; Mark R. Petersen (J. Comput. Phys., 2025)