329 citations · 455 across the 9 of their papers we have counts for
9 papers
An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions
Slimane Adjerid, Ivo Babuska, Ruchi Guo +1
This article presents and analyzes a -degree immersed finite element (IFE) method for elliptic interface problems with nonhomogeneous jump conditions. In this method, jump…
Multiscale-Spectral GFEM and Optimal Oversampling
Ivo Babuska, Robert Lipton, Paul Sinz +1
In this work we address the Multiscale Spectral Generalized Finite Element Method (MS-GFEM) developed in [I. Babuška and R. Lipton, Multiscale Modeling and Simulation 9 (2011), pp.…
Spatial Poisson processes for fatigue crack initiation
Ivo Babuska, Zaid Sawlan, Marco Scavino +2
In this work we propose a stochastic model for estimating the occurrence of crack initiations on the surface of metallic specimens in fatigue problems that can be applied to a gene…
Bayesian inference and model comparison for metallic fatigue data
Ivo Babuska, Zaid Sawlan, Marco Scavino +2
In this work, we present a statistical treatment of stress-life (S-N) data drawn from a collection of records of fatigue experiments that were performed on 75S-T6 aluminum alloys.…
A Fuzzy-Stochastic Multiscale Model for Fiber Composites: A one-dimensional study
Ivo Babuska, Mohammad Motamed
We study mathematical and computational models for computing the deformation of fiber-reinforced cross-plied laminates due to external forces. This requires an understanding of bot…
On the -version of FEM in one dimension: The known and unknown features
Ivo Babuška, Harri Hakula
The paper analyses the convergence of the -version of the FEM when the solution is piecewise analytic function. It focuses on pointwise convergence of the gradient. It shows tha…
Stable Generalized Finite Element Method (SGFEM)
I. Babuska, U. Banerjee
The Generalized Finite Element Method (GFEM) is a Partition of Unity Method (PUM), where the trial space of standard Finite Element Method (FEM) is augmented with non-polynomial sh…
Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
Ivo Babuska, Robert Lipton
The paper addresses a numerical method for solving second order elliptic partial differential equations that describe fields inside heterogeneous media. The scope is general and tr…
Interior numerical approximation of boundary value problems with a distributional data
Ivo Babuska, Victor Nistor
We study the approximation properties of a harmonic function $u \in H\sp{1-k}(Ω)$, , on relatively compact sub-domain of , using the Generalized Finite Element Method…