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math.NA2023★ 4 cited

An unfitted high-order HDG method for two-fluid Stokes flow with exact NURBS geometries

Stefano Piccardo, Matteo Giacomini, Antonio Huerta

A high-order, degree-adaptive hybridizable discontinuous Galerkin (HDG) method is presented for two-fluid incompressible Stokes flows, with boundaries and interfaces described usin…

math.NA2023

A robust and adaptive GenEO-type domain decomposition preconditioner for problems in three-dimensional general topologies

Niall Bootland, Victorita Dolean, Frédéric Nataf +1

In this paper we design, analyse and test domain decomposition methods for linear systems of equations arising from conforming finite element discretisations of positive Maxwell-ty…

math.NA2023★ 22 cited

A comparison of smooth basis constructions for isogeometric analysis

H. M. Verhelst, P. Weinmüller, A. Mantzaflaris +2

In order to perform isogeometric analysis with increased smoothness on complex domains, trimming, variational coupling or unstructured spline methods can be used. The latter two cl…

math.NA2023

A reduced basis method for frictional contact problems formulated with Nitsche's method

Idrissa Niakh, Guillaume Drouet, Virginie Ehrlacher +1

We develop an efficient reduced basis method for the frictional contact problem formulated using Nitsche's method. We focus on the regime of small deformations and on Tresca fricti…

math.NA2023

Butterfly factorization by algorithmic identification of rank-one blocks

Léon Zheng, Gilles Puy, Elisa Riccietti +2

Many matrices associated with fast transforms posess a certain low-rank property characterized by the existence of several block partitionings of the matrix, where each block is of…

math.NA2023

Parallel-in-time integration of the shallow water equations on the rotating sphere using Parareal and MGRIT

João Guilherme Caldas Steinstraesser, Pedro da Silva Peixoto, Martin Schreiber

Despite the growing interest in parallel-in-time methods as an approach to accelerate numerical simulations in atmospheric modelling, improving their stability and convergence rema…