72 citations
- Commonwealth Scientific and Industrial Research OrganisationAU15 papers
- Australian Resources Research CentreAU11 papers
- Curtin UniversityAU6 papers
- The University of Western AustraliaAU5 papers
- Xi’an Jiaotong-Liverpool UniversityCN2 papers
- Australian National UniversityAU1 paper
- Iowa State UniversityUS1 paper
- King Abdullah University of Science and TechnologySA1 paper
- Norwegian University of Life SciencesNO1 paper
- Pontificia Universidad Católica de ValparaísoCL1 paper
- Simula Research LaboratoryNO1 paper
- South Dakota School of Mines and TechnologyUS1 paper
5 papers · 2 filters
An automatic-adaptivity stabilized finite element method via residual minimization for heterogeneous, anisotropic advection-diffusion-reaction problems
Roberto J. Cier, Sergio Rojas, Victor M. Calo
In this paper, we describe a stable finite element formulation for advection-diffusion-reaction problems that allows for robust automatic adaptive strategies to be easily implement…
A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes
Quanling Deng, Victor Calo
We introduce a boundary penalization technique to improve the spectral approximation of isogeometric analysis (IGA). The technique removes the outliers appearing in the high-freque…
Automatic Variationally Stable Analysis for Finite Element Computations: Transient Convection-Diffusion Problems
Eirik Valseth, Pouria Behnoudfar, Clint Dawson +1
We establish stable finite element (FE) approximations of convection-diffusion initial boundary value problems using the automatic variationally stable finite element (AVS-FE) meth…
A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: Second-order, energy-stable numerical methods on adaptive octree based meshes
Makrand A Khanwale, Kumar Saurabh, Milinda Fernando +4
We present a fully-coupled, implicit-in-time framework for solving a thermodynamically-consistent Cahn-Hilliard Navier-Stokes system that models two-phase flows. In this work, we e…
A nonlinear weak constraint enforcement method for advection-dominated diffusion problems
Roberto J. Cier, Sergio Rojas, Victor M. Calo
We devise a stabilized method to weakly enforce bound constraints in the discrete solution of advection-dominated diffusion problems. This method combines a nonlinear penalty formu…