Ivo Babuska

Publication Activity (10 Years)

Years Active: 1968-2022
Publications (10 Years): 4

Top Topics

Difficult Problems

Finite Element Method

Top Venues

Numerische Mathematik

J. Approx. Theory

ACM Trans. Math. Softw.

Publications

Cu Cui, Qinghui Zhang, Uday Banerjee, Ivo Babuska
Stable generalized finite element method (SGFEM) for three-dimensional crack problems. Numerische Mathematik 152 (2) (2022)
Slimane Adjerid, Ivo Babuska, Ruchi Guo, Tao Lin
An Enriched Immersed Finite Element Method for Interface Problems with Nonhomogeneous Jump Conditions. CoRR (2020)
Ivo Babuska, Robert Lipton, Paul Sinz, Michael Stuebner
Multiscale-Spectral GFEM and Optimal Oversampling. CoRR (2019)
Ivo Babuska, Gustaf Söderlind
On Roundoff Error Growth in Elliptic Problems. ACM Trans. Math. Softw. 44 (3) (2018)
Qinghui Zhang, Uday Banerjee, Ivo Babuska
Higher order stable generalized finite element method. Numerische Mathematik 128 (1) (2014)
Benqi Guo, Ivo Babuska
p-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems. J. Approx. Theory 173 (2013)
Antti H. Niemi, Ivo Babuska, Juhani Pitkäranta, Leszek F. Demkowicz
Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version. Eng. Comput. 28 (2) (2012)
Juhani Pitkäranta, Ivo Babuska, Barna A. Szabó
The dome and the ring: Verification of an old mathematical model for the design of a stiffened shell roof. Comput. Math. Appl. 64 (1) (2012)
Ivo Babuska, Uday Banerjee, Hengguang Li
The effect of numerical integration on the finite element approximation of linear functionals. Numerische Mathematik 117 (1) (2011)
Ivo Babuska, Robert Lipton
Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems. Multiscale Model. Simul. 9 (1) (2011)
Ivo Babuska, Gabriel N. Gatica
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem. SIAM J. Numer. Anal. 48 (2) (2010)
Benqi Guo, Ivo Babuska
Local Jacobi Operators and Applications to the p-Version of Finite Element Method in Two Dimensions. SIAM J. Numer. Anal. 48 (1) (2010)
Barna A. Szabó, Ivo Babuska, Juhani Pitkäranta, Sebastian Nervi
The problem of verification with reference to the Girkmann problem. Eng. Comput. 26 (2) (2010)
Ivo Babuska, Fabio Nobile, Raúl Tempone
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data. SIAM Rev. 52 (2) (2010)
Ivo Babuska, Kang-Man Liu
Interval arithmetic error estimation for the solution of Fredholm integral equation. Int. J. Comput. Math. 86 (3) (2009)
Ivo Babuska, Stefan A. Sauter
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method. SIAM J. Sci. Comput. 30 (5) (2008)
Shi Shu, Ivo Babuska, Yingxiong Xiao, Jinchao Xu, Ludmil T. Zikatanov
Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials. SIAM J. Sci. Comput. 31 (1) (2008)
Chandrajit L. Bajaj, J. Tinsley Oden, Kenneth R. Diller, James C. Browne, John D. Hazle, Ivo Babuska, Jon Bass, L. Bidaut, Leszek F. Demkowicz, Andrew Elliott, Yusheng Feng, David Fuentes, Boseob Kwon, Serge Prudhomme, R. Jason Stafford, Yongjie Zhang
Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer. International Conference on Computational Science (1) (2007)
Ivo Babuska, Uday Banerjee, John E. Osborn
Superconvergence in the generalized finite element method. Numerische Mathematik 107 (3) (2007)
Ivo Babuska, Fabio Nobile, Raúl Tempone
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data. SIAM J. Numer. Anal. 45 (3) (2007)
J. Tinsley Oden, Kenneth R. Diller, Chandrajit L. Bajaj, James C. Browne, John D. Hazle, Ivo Babuska, Jon Bass, Leszek F. Demkowicz, Yusheng Feng, David Fuentes, Serge Prudhomme, Marissa Nichole Rylander, R. Jason Stafford, Yongjie Zhang
Development of a Computational Paradigm for Laser Treatment of Cancer. International Conference on Computational Science (3) (2006)
Ivo Babuska, Börje Andersson
The Splitting Method as a Tool for Multiple Damage Analysis. SIAM J. Sci. Comput. 26 (4) (2005)
Ivo Babuska, Fabio Nobile, Raúl Tempone
Worst case scenario analysis for elliptic problems with uncertainty. Numerische Mathematik 101 (2) (2005)
Ivo Babuska, Raúl Tempone, Georgios E. Zouraris
Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations. SIAM J. Numer. Anal. 42 (2) (2004)
J. Tinsley Oden, James C. Browne, Ivo Babuska, Chandrajit L. Bajaj, Leszek F. Demkowicz, L. Gray, Jon Bass, Yusheng Feng, Serge Prudhomme, Fabio Nobile, Raúl Tempone
A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations. International Conference on Computational Science (2004)
Ivo Babuska, Stefan A. Sauter
Algebraic algorithms for the analysis of mechanical trusses. Math. Comput. 73 (248) (2004)
Ivo Babuska, Uday Banerjee, John E. Osborn
On the approximability and the selection of particle shape functions. Numerische Mathematik 96 (4) (2004)
Leszek F. Demkowicz, Ivo Babuska
Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions. SIAM J. Numer. Anal. 41 (4) (2003)
Ivo Babuska, Jan Chleboun
Effects of uncertainties in the domain on the solution of Dirichlet boundary value problems. Numerische Mathematik 93 (4) (2003)
J. Tinsley Oden, James C. Browne, Ivo Babuska, Kenneth M. Liechti, Leszek F. Demkowicz
A Computational Infrastructure for Reliable Computer Simulations. International Conference on Computational Science (2003)
Ivo Babuska, Benqi Guo
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. 39 (5) (2002)
Ivo Babuska, Jan Chleboun
Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions. Math. Comput. 71 (240) (2002)
Lin Zhang, Theofanis Strouboulis, Ivo Babuska
η%-Superconvergence of Finite Element Solutions and Error Estimators. Adv. Comput. Math. 15 (1-4) (2001)
Lin Zhang, Theofanis Strouboulis, Ivo Babuska
A Posteriori Estimators for the FEM: Analysis of the Robustness of the Estimators for the Poisson Equation. Adv. Comput. Math. 15 (1-4) (2001)
Ivo Babuska, Miloslav Feistauer, Pavel Solín
On one approach to a posteriori error estimates for evolution problems solved by the method of lines. Numerische Mathematik 89 (2) (2001)
Ivo Babuska, Stefan A. Sauter
Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers? SIAM Rev. 42 (3) (2000)
Ivo Babuska, Benqi Guo
Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions. Numerische Mathematik 85 (2) (2000)
Ana-Maria Matache, Ivo Babuska, Christoph Schwab
Generalized p-FEM in homogenization. Numerische Mathematik 86 (2) (2000)
Ivo Babuska, John E. Osborn
Can a finite element method perform arbitrarily badly? Math. Comput. 69 (230) (2000)
Ivo Babuska, Manil Suri
Versions of the Finite Element Method, Basic Principles and Properties. SIAM Rev. 36 (4) (1994)
Ivo Babuska, Howard C. Elman, K. Markley
Parallel Implementation of the hp-Version of the Finite Element Method on a Shared-Memory Architecture. SIAM J. Sci. Comput. 13 (6) (1992)
Ivo Babuska
Information-based numerical practice. J. Complex. 3 (3) (1987)
Ivo Babuska
Comments on postwar development of computational mathematics in some countries of Eastern Europe. HSNC (1987)
Ivo Babuska, Werner C. Rheinboldt
On A System For Adaptive, Parallel Finite Element Computations. ACM Annual Conference (1) (1978)
Ivo Babuska
The finite element method for elliptic equations with discontinuous coefficients. Computing 5 (3) (1970)
Ivo Babuska
Finite element method for domains with corners. Computing 6 (3-4) (1970)
Ivo Babuska
Numerical stability in mathematical analysis. IFIP Congress (1) (1968)