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From the 1 of 9 linked papers with an AI index.

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9 papers

math.NA2026

Numerical approach to the London Equation of superconductivity

Nicolás Barnafi, Ignacio Labarca-Figueroa, Carlos Román

The paper introduces a FEM‑BEM coupling discretization to solve the London equation for type‑II superconductors in three dimensions and uses it to compute magnetic fields and analy…

math.NA2026

Accelerated implicitization: Robust fixed-point iterations arising from an explicit scheme

Nicolas A. Barnafi, Felipe Galarce, Pablo Brubeck

This work proposes a general strategy for solving possibly nonlinear problems arising from implicit time discretizations as a sequence of explicit solutions. The resulting sequence…

math.NA2026

Linear poroelasticity with solid incompressibility: consistent formulation and scalable numerical solution

Nicolás A. Barnafi, Andrés E. Rubiano, Ricardo Ruiz-Baier

In this work we propose, by linearizing the equations of fully nonlinear poroelasticity, a consistent model in which only the solid phase is incompressible. This reformulation circ…

math.NA2026

Two-Level Sketching Alternating Anderson acceleration for Complex Physics Applications

Nicolás A. Barnafi, Massimiliano Lupo Pasini

We present a novel two-level sketching extension of the Alternating Anderson-Picard (AAP) method for accelerating fixed-point iterations in challenging single- and multi-physics si…

math.NA2026

A Nitsche method for Navier--Stokes/generalized poroelasticity interface problems

Aparna Bansal, Nicolas A. Barnafi, Dwijendra Narain Pandey +1

We consider a time-dependent coupled Navier--Stokes/generalized poroelastic flow problem and propose a unified and monolithic finite element discretization based on implicit time s…

math.NA2026

Nitsche's method for the stationary Boussinesq system under mixed and nonlinear boundary conditions

Aparna Bansal, Nicolás A. Barnafi, Gianmarco Sperone +1

In this paper we analyze Nitsche's method for the stationary Boussinesq system with Navier's slip and a nonlinear boundary condition. Our analysis of the formulation establishes th…