78 citations · 721 across the 73 of their papers we have counts for
78 papers
Generalised Soft Finite Element Method for Elliptic Eigenvalue Problems
Jipei Chen, Victor M. Calo, Quanling Deng
The recently proposed soft finite element method (SoftFEM) reduces the stiffness (condition numbers), consequently improving the overall approximation accuracy. The method subtract…
Adaptive Deep Fourier Residual method via overlapping domain decomposition
Jamie M. Taylor, Manuela Bastidas, Victor M. Calo +1
The Deep Fourier Residual (DFR) method is a specific type of variational physics-informed neural networks (VPINNs). It provides a robust neural network-based solution to partial di…
Shear-enhanced compaction analysis of the Vaca Muerta formation
José G. Hasbani, Evan M. C. Kias, Roberto Suarez-Rivera +1
Laboratory measurements on Vaca Muerta formation samples show stress-dependent elastic behavior and compaction at representative in-situ conditions. Experimental results show that…
A variational multiscale method derived from an adaptive stabilized conforming finite element method via residual minimization on dual norms
Juan F. Giraldo, Victor M. Calo
This paper interprets the stabilized finite element method via residual minimization as a variational multiscale method. We approximate the solution to the partial differential equ…
Morphological transitions of block copolymer micelles: implications for isoporous membrane ordering
Nicolas Moreno, Suzana Nunes, Victor Calo
Isoporous membranes made from diblock copolymers have numerous applications, including water treatment and protein separation, and are successfully produced at a laboratory scale u…
Adaptive stabilized finite elements via residual minimization onto bubble enrichments
José G. Hasbani, Paulina Sepúlveda, Ignacio Muga +2
The Adaptive Stabilized Finite Element method (AS-FEM) developed in Calo et. al. combines the idea of the residual minimization method with the inf-sup stability offered by the dis…
Three-dimensional experimental-scale phase-field modelling of dendrite formation in rechargeable lithium-metal batteries
Marcos E. Arguello, Nicolas A. Labanda, Victor M. Calo +3
We perform phase-field simulations of the electrodeposition process that forms dendrites within metal-anode batteries including anisotropic representation. We describe the evolutio…
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…
Dendrite formation in rechargeable lithium-metal batteries: Phase-field modeling using open-source finite element library
Marcos E. Arguello, Nicolas A. Labanda, Victor M. Calo +3
We describe a phase-field model for the electrodeposition process that forms dendrites within metal-anode batteries. We derive the free energy functional model, arriving at a syste…
A boundary-penalized isogeometric analysis for second-order hyperbolic equations
Quanling Deng, Pouria Behnoudfar, Victor Calo
Explicit time-marching schemes are popular for solving time-dependent partial differential equations; one of the biggest challenges these methods suffer is increasing the critical…
Compaction band localization in geomaterials: a mechanically consistent failure criterion
Roberto J. Cier, Nicolas A. Labanda, Victor M. Calo
Compaction bands play a key role in the deformation processes of porous rocks and explain different aspects of physical processes in geological formations. The state-of-the-art des…
Performance of Refined Isogeometric Analysis in Solving Quadratic Eigenvalue Problems
Ali Hashemian, Daniel Garcia, David Pardo +1
Certain applications that analyze damping effects require the solution of quadratic eigenvalue problems (QEPs). We use refined isogeometric analysis (rIGA) to solve quadratic eigen…
Space-time hp finite elements for heat evolution in laser-based additive manufacturing
Philipp Kopp, Victor Calo, Ernst Rank +1
The direct numerical simulation of metal additive manufacturing processes such as laser powder bed fusion is challenging due to the vast differences in spatial and temporal scales.…
An explicit predictor/multicorrector time marching with automatic adaptivity for finite-strain elastodynamics
Nicolas A. Labanda, Pouria Behnoudfar, Victor M. Calo
We propose a time-adaptive predictor/multi-corrector method to solve hyperbolic partial differential equations, based on the generalized- scheme that provides user-control on th…
A spatio-temporal adaptive phase-field fracture method
Nicolas A. Labanda, Luis Espath, Victor Manuel Calo
We present an energy-preserving mechanic formulation for dynamic quasi-brittle fracture in an Eulerian-Lagrangian formulation, where a second-order phase-field equation controls th…
Efficient multi-level hp-finite elements in arbitrary dimensions
Philipp Kopp, Ernst Rank, Victor M. Calo +1
We present an efficient algorithmic framework for constructing multi-level hp-bases that uses a data-oriented approach that easily extends to any number of dimensions and provides…
Explicit high-order generalized- methods for isogeometric analysis of structural dynamics
Pouria Behnoudfar, Gabriele Loli, Alessandro Reali +2
We propose a new family of high-order explicit generalized- methods for hyperbolic problems with the feature of dissipation control. Our approach delivers $2k,\, \left(k \in \ma…
Higher-order generalized- methods for parabolic problems
Pouria Behnoudfar, Quanling Deng, Victor M. Calo
We propose a new class of high-order time-marching schemes with dissipation user-control and unconditional stability for parabolic equations. High-order time integrators can delive…
Outlier removal for isogeometric spectral approximation with the optimally-blended quadratures
Quanling Deng, Victor Calo
It is well-known that outliers appear in the high-frequency region in the approximate spectrum of isogeometric analysis of the second-order elliptic operator. Recently, the outlier…
A continuum theory for mineral solid solutions undergoing chemo-mechanical processes
Santiago P. Clavijo, Luis Espath, Adel Sarmiento +1
Recent studies on metamorphic petrology as well as microstructural observations suggest the influence of mechanical effects upon chemically active metamorphic minerals. Thus, the u…
Extended Larché--Cahn framework for reactive Cahn--Hilliard multicomponent systems
Santiago P. Clavijo, Luis Espath, Victor M. Calo
At high temperature and pressure, solid diffusion and chemical reactions between rock minerals lead to phase transformations. Chemical transport during uphill diffusion causes phas…
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…