Ivo M. Babuška (born March 22, 1926 in Prague) is a Czech-American mathematician, noted for his studies of the finite element method and the proof of… (More)

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2014

2014

We present a Petrov-Galerkin reduced basis (RB) approximation for the parametrized Stokes equation. Our method, which relies on a… (More)

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2013

2013

- Eli Turkel, Dan Gordon, Rachel Gordon, Semyon Tsynkov
- J. Comput. Physics
- 2013

Several studies have presented compact fourth order accurate finite difference approximation for the Helmholtz equation in two or… (More)

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2011

2011

- Ralf Hiptmair, Andrea Moiola, Ilaria Perugia
- SIAM J. Numerical Analysis
- 2011

Plane wave discontinuous Galerkin (PWDG) methods are a class of Trefftz-type methods for the spatial discretization of boundary… (More)

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2008

2008

The spectral element method for the two-dimensional shallow water equations on the sphere is presented. The equations are written… (More)

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Highly Cited

2007

Highly Cited

2007

- Ivo Babuska, Fabio Nobile, Raúl Tempone
- SIAM J. Numerical Analysis
- 2007

In this paper we propose and analyze a Stochastic-Collocation method to solve elliptic Partial Differential Equations with random… (More)

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2006

2006

- Todd Arbogast, Kirsten J. Boyd
- SIAM J. Numerical Analysis
- 2006

Second order elliptic problems in divergence form with a highly varying leading order coefficient on the scale can be… (More)

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Highly Cited

2003

Highly Cited

2003

- Ohannes A. Karakashian, Frédéric Pascal
- SIAM J. Numerical Analysis
- 2003

Several a posteriori error estimators are introduced and analyzed for a discontinuous Galerkin formulation of a model second… (More)

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2002

2002

- Zhiming Chen, Shibin Dai
- SIAM J. Scientific Computing
- 2002

The successful implementation of adaptive finite element methods based on a posteriori error estimates depends on several… (More)

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1998

1998

- Peter Monk
- 1998

This paper is concerned with the derivation of a priori and a posteriori error bounds for a class of linear functionals arising… (More)

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1996

1996

- Jinn-Liang Liu
- SIAM J. Scientific Computing
- 1996

A general framework for weak residual error estimators applying to various types of boundary value problems in connection with… (More)

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