output
20142026
most citedHyperspectral imaging spectroscopy of a Mars analogue environment at the North Pole Dome, Pilbara Craton, Western Australia

79 citations

Showing math.NAShow all

8 papers · 1 filter

math.NA2022★ 8 cited

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…

math.NA2020★ 33 cited

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…

math.NA2020★ 1 cited

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…

math.NA2020★ 27 cited

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…

math.NA2020★ 14 cited

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…

math.NA2018

A variationally separable splitting for the generalized- method for parabolic equations

Pouria Behnoudfar, Victor M. Calo, Quanling Deng +1

We present a variationally separable splitting technique for the generalized- method for solving parabolic partial differential equations. We develop a technique for a tensor-pr…

math.NA2018★ 1 cited

Higher order stable generalized finite element method for the elliptic eigenvalue problem with an interface in 1D

Quanling Deng, Victor Calo

We study the generalized finite element methods (GFEMs) for the second-order elliptic eigenvalue problem with an interface in 1D. The linear stable generalized finite element metho…

math.NA2017★ 1 cited

Spectral approximation of elliptic operators by the Hybrid High-Order method

Victor Calo, Matteo Cicuttin, Quanling Deng +1

We study the approximation of the spectrum of a second-order elliptic differential operator by the Hybrid High-Order (HHO) method. The HHO method is formulated using cell and face…