78 citations · 721 across the 73 of their papers we have counts for
10 papers · 1 filter
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…