In mathematics, in the area of numerical analysis, Galerkin methods are a class of methods for converting a continuous operator problem (such as aâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- Bernardo Cockburn, Jayadeep Gopalakrishnan, Raytcho D. Lazarov
- SIAM J. Numerical Analysis
- 2009

We introduce a unifying framework for hybridization of finite element methods for second order elliptic problems. The methodsâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

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

In this paper we propose and analyze a Stochastic-Collocation method to solve elliptic Partial Differential Equations with randomâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- Ivo Babuska, RaÃºl Tempone, Georgios E. Zouraris
- SIAM J. Numerical Analysis
- 2004

We describe and analyze two numerical methods for a linear elliptic problem with stochastic coefficients and homogeneousâ€¦Â (More)

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Highly Cited

2002

Highly Cited

2002

- Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, L. Donatella Marini
- SIAM J. Numerical Analysis
- 2002

We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allowsâ€¦Â (More)

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Highly Cited

2000

Highly Cited

2000

- Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, Donatella Marini
- 2000

We provide a common framework for the understanding, comparison, and analysis of several discontinuous Galerkin methods that haveâ€¦Â (More)

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Highly Cited

1998

Highly Cited

1998

- Satya N. Atluri, T. Zhu
- 1998

A local symmetric weak form (LSWF) for linear potential problems is developed, and a truly meshless method, based on the LSWF andâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

|Although numerically very e cient the nite element method exhibits di culties whenever the remeshing of the analysis domain mustâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

- Randal W. Beard, George N. Saridis, John T. Wen
- Automatica
- 1997

In this paper we study the convergence of the Galerkin approximation method applied to the generalized Hamilton-Jacobi-Bellmanâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

- Olaf Schmidtmann, Fred Feudel, Norbert Seehafer
- 1997

The usage of nonlinear Galerkin methods for the numerical solution of partial diieren-tial equations is demonstrated by treatingâ€¦Â (More)

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Highly Cited

1994

Highly Cited

1994

- Jie Shen
- SIAM J. Scientific Computing
- 1994

We present some efficient algorithms based on the Legendre-Galerkin approximations for the direct solution of the second andâ€¦Â (More)

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