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
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7 papers · 1 filter
SoftIGA: soft isogeometric analysis
Quanling Deng, Pouria Behnoudfar, Victor M. Calo
We extend the softFEM idea to isogeometric analysis (IGA) to reduce the stiffness (consequently, the condition numbers) of the IGA discretized problem. We refer to the resulting ap…
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…