78 citations · 721 across the 73 of their papers we have counts for
8 papers · 1 filter
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…
Refined isogeometric analysis for generalized Hermitian eigenproblems
Ali Hashemian, David Pardo, Victor M. Calo
We use the refined isogeometric analysis (rIGA) to solve generalized Hermitian eigenproblems . The rIGA framework conserves the desirable properties of maximum-continui…
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…
Adaptive stabilized finite elements: Continuation analysis of compaction banding in geomaterials
Roberto J. Cier, Thomas Poulet, Sergio Rojas +2
Under compressive creep, visco-plastic solids experiencing internal mass transfer processes have been recently proposed to accommodate singular cnoidal wave solutions, as material…
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…
Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm
Sergio Rojas, David Pardo, Pouria Behnoudfar +1
We propose a goal-oriented mesh-adaptive algorithm for a finite element method stabilized via residual minimization on dual discontinuous-Galerkin norms. By solving a saddle-point…
Error Control and Loss Functions for the Deep Learning Inversion of Borehole Resistivity Measurements
M. Shahriari, D. Pardo, J. A. Rivera +5
Deep learning (DL) is a numerical method that approximates functions. Recently, its use has become attractive for the simulation and inversion of multiple problems in computational…