78 citations · 721 across the 73 of their papers we have counts for
6 papers · 1 filter
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…
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…
Automatic Variationally Stable Analysis for FE Computations: An Introduction
Victor M. Calo, Albert Romkes, Eirik Valseth
We introduce an automatic variationally stable analysis (AVS) for finite element (FE) computations of scalar-valued convection-diffusion equations with non-constant and highly osci…
Variational Formulations for Explicit Runge-Kutta Methods
Judit Muñoz-Matute, David Pardo, Victor M. Calo +1
Variational space-time formulations for Partial Differential Equations have been of great interest in the last decades. While it is known that implicit time marching schemes have v…
Optimal spectral approximation of -order differential operators by mixed isogeometric analysis
Quanling Deng, Vladimir Puzyrev, Victor Calo
We approximate the spectra of a class of -order differential operators using isogeometric analysis in mixed formulations. This class includes a wide range of differential opera…
Isogeometric spectral approximation for elliptic differential operators
Quanling Deng, Vladimir Puzyrev, Victor Calo
We study the spectral approximation of a second-order elliptic differential eigenvalue problem that arises from structural vibration problems using isogeometric analysis. In this p…