Ivo Babuska

According to our database1, Ivo Babuska authored at least 47 papers between 1968 and 2022.

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Bibliography

2022
Stable generalized finite element method (SGFEM) for three-dimensional crack problems.
Numerische Mathematik, 2022

2020
An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions.
CoRR, 2020

2019
Multiscale-Spectral GFEM and Optimal Oversampling.
CoRR, 2019

2018
On Roundoff Error Growth in Elliptic Problems.
ACM Trans. Math. Softw., 2018

2014
Higher order stable generalized finite element method.
Numerische Mathematik, 2014

2013
Direct and inverse approximation theorems for the <i>p</i>p-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems.
J. Approx. Theory, 2013

2012
Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version.
Eng. Comput., 2012

The dome and the ring: Verification of an old mathematical model for the design of a stiffened shell roof.
Comput. Math. Appl., 2012

2011
The effect of numerical integration on the finite element approximation of linear functionals.
Numerische Mathematik, 2011

Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems.
Multiscale Model. Simul., 2011

2010
Local Jacobi Operators and Applications to the p-Version of Finite Element Method in Two Dimensions.
SIAM J. Numer. Anal., 2010

A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem.
SIAM J. Numer. Anal., 2010

The problem of verification with reference to the Girkmann problem.
Eng. Comput., 2010

2009
Interval arithmetic error estimation for the solution of Fredholm integral equation.
Int. J. Comput. Math., 2009

2008
Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials.
SIAM J. Sci. Comput., 2008

Efficient Solution of Anisotropic Lattice Equations by the Recovery Method.
SIAM J. Sci. Comput., 2008

2007
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data.
SIAM J. Numer. Anal., 2007

Superconvergence in the generalized finite element method.
Numerische Mathematik, 2007

Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer.
Proceedings of the Computational Science, 2007

2006

2005
The Splitting Method as a Tool for Multiple Damage Analysis.
SIAM J. Sci. Comput., 2005

Worst case scenario analysis for elliptic problems with uncertainty.
Numerische Mathematik, 2005

2004
Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations.
SIAM J. Numer. Anal., 2004

On the approximability and the selection of particle shape functions.
Numerische Mathematik, 2004

Algebraic algorithms for the analysis of mechanical trusses.
Math. Comput., 2004

A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations.
Proceedings of the Computational Science, 2004

2003
<i>p</i> Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions.
SIAM J. Numer. Anal., 2003

Effects of uncertainties in the domain on the solution of Dirichlet boundary value problems.
Numerische Mathematik, 2003

A Computational Infrastructure for Reliable Computer Simulations.
Proceedings of the Computational Science - ICCS 2003, 2003

2002
Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces.
SIAM J. Numer. Anal., 2002

Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions.
Math. Comput., 2002

2001
On one approach to a posteriori error estimates for evolution problems solved by the method of lines.
Numerische Mathematik, 2001

η%-Superconvergence of Finite Element Solutions and Error Estimators.
Adv. Comput. Math., 2001

A Posteriori Estimators for the FEM: Analysis of the Robustness of the Estimators for the Poisson Equation.
Adv. Comput. Math., 2001

2000
Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
SIAM Rev., 2000

Generalized p-FEM in homogenization.
Numerische Mathematik, 2000

Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions.
Numerische Mathematik, 2000

Can a finite element method perform arbitrarily badly?
Math. Comput., 2000

1994
The <i>p</i> and <i>h</i>-<i>p</i> Versions of the Finite Element Method, Basic Principles and Properties.
SIAM Rev., 1994

1992
Parallel Implementation of the hp-Version of the Finite Element Method on a Shared-Memory Architecture.
SIAM J. Sci. Comput., 1992

1989
Implementation of nonhomogeneous dirichlet boundary conditions in the p version of the finite element method.
IMPACT Comput. Sci. Eng., 1989

1987
Information-based numerical practice.
J. Complex., 1987

Comments on postwar development of computational mathematics in some countries of Eastern Europe.
Proceedings of the ACM Conference on History of Scientific and Numeric Computation, 1987

1978
On A System For Adaptive, Parallel Finite Element Computations.
Proceedings of the Proceedings 1978 ACM Annual Conference, 1978

1970
Finite element method for domains with corners.
Computing, 1970

The finite element method for elliptic equations with discontinuous coefficients.
Computing, 1970

1968
Numerical stability in mathematical analysis.
Proceedings of the Information Processing, Proceedings of IFIP Congress 1968, Edinburgh, UK, 5-10 August 1968, Volume 1, 1968


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