activity
20192021
most citedIsogeometric Residual Minimization Method (iGRM) with Direction Splitting for Non-Stationary Advection-Diffusion Problems

19 citations · 48 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2021★ 19 cited

Isogeometric Residual Minimization Method (iGRM) with Direction Splitting for Non-Stationary Advection-Diffusion Problems

Marcin Los, Judit Munoz-Matute, Ignacio Muga +1

In this paper, we propose a novel computational implicit method, which we call Isogeometric Residual Minimization (iGRM) with direction splitting. The method mixes the benefits res…

math.NA2021

Alternating directions implicit higher-order finite element method for simulations of time-dependent electromagnetic wave propagation in non-regular biological tissues

Maciej Paszynski, Marcin Los, Judit Munoz-Matute

We focus on non-stationary Maxwell equations defined on a regular patch of elements as considered in the isogeometric analysis (IGA). We apply the time-integration scheme following…

math.NA2020★ 9 cited

Isogeometric Residual Minimization (iGRM) for Non-Stationary Stokes and Navier-Stokes Problems

Marcin Los, Ignacio Muga, Judit Munoz-Matute +1

We show that it is possible to obtain a linear computational cost FEM-based solver for non-stationary Stokes and Navier-Stokes equations. Our method employs a technique developed b…

cs.CE2019★ 3 cited

Supermodeling of tumor dynamics with parallel isogeometric analysis solver

Maciej Paszynski, Leszek Siwik, Witold Dzwinel +1

Supermodeling is a modern, model-ensembling paradigm that integrates several self-synchronized imperfect sub-models by controlling a few meta-parameters to generate more accurate p…

math.NA2019★ 1 cited

Fast isogeometric solvers for hyperbolic wave propagation problems

Marcin Los, Pouria Behnoudfar, Maciej Paszynski +1

We use the alternating direction method to simulate implicit dynamics. ur spatial discretization uses isogeometric analysis. Namely, we simulate a (hyperbolic) wave propagation pro…

math.NA2019★ 16 cited

Isogeometric Residual Minimization Method (iGRM) with Direction Splitting Preconditoner for Stationary Advection-Diffusion Problems

Victor M Calo, Marcin Łoś, Quanling Deng +2

In this paper, we introduce the isoGeometric Residual Minimization (iGRM) method. The method solves stationary advection-dominated diffusion problems. We stabilize the method via r…