Search Results - "A. Patera"
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Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations: Application to Transport and Continuum Mechanics
Published in Archives of computational methods in engineering (01-09-2008)“…In this paper we consider (hierarchical, Lagrange) reduced basis approximation and a posteriori error estimation for linear functional outputs of affinely…”
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Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basis a posteriori error bounds
Published in International journal for numerical methods in fluids (20-03-2005)“…We present a technique for the evaluation of linear‐functional outputs of parametrized elliptic partial differential equations in the context of deployed (in…”
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3
A 'best points' interpolation method for efficient approximation of parametrized functions
Published in International journal for numerical methods in engineering (22-01-2008)“…We present an interpolation method for efficient approximation of parametrized functions. The method recognizes and exploits the low‐dimensional manifold…”
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Simulation-Based Classification; a Model-Order-Reduction Approach for Structural Health Monitoring
Published in Archives of computational methods in engineering (01-01-2018)“…We present a model-order-reduction approach to simulation-based classification, with particular application to structural health monitoring. The approach…”
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The Generalized Empirical Interpolation Method: Stability theory on Hilbert spaces with an application to the Stokes equation
Published in Computer methods in applied mechanics and engineering (15-04-2015)“…The Generalized Empirical Interpolation Method (GEIM) is an extension first presented by Maday and Mula in Maday and Mula (2013) in 2013 of the classical…”
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A natural-norm Successive Constraint Method for inf-sup lower bounds
Published in Computer methods in applied mechanics and engineering (01-06-2010)“…We present a new approach for the construction of lower bounds for the inf-sup stability constants required in a posteriori error analysis of reduced basis…”
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A static condensation reduced basis element method: Complex problems
Published in Computer methods in applied mechanics and engineering (01-06-2013)“…► Extend the static condensation reduced basis element for complex-valued problems. ► Introduce primal–dual RB methods for general non-symmetric (complex)…”
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Evidence for surface faulting events along the Paganica fault prior to the 6 April 2009 L'Aquila earthquake (central Italy)
Published in Journal of Geophysical Research (01-07-2011)“…We performed paleoseismological investigations at four sites across the normal Paganica fault (PF) (source of the 2009 Mw 6.3 L'Aquila earthquake), with the…”
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Virtual reading of a large ancient handwritten science book
Published in Microchemical journal (01-03-2016)“…We present a fundamental development step of a new technique to read and digitize ancient handwritten documents. Chemical analysis by x-ray fluorescence and…”
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Reduced Basis Techniques for Stochastic Problems
Published in Archives of computational methods in engineering (01-12-2010)“…We report here on the recent application of a now classical general reduction technique, the Reduced-Basis (RB) approach initiated by C. Prud’homme et al. in…”
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Reduced basis approximation and a posteriori error estimation for stress intensity factors
Published in International journal for numerical methods in engineering (03-12-2007)“…We develop reduced basis approximations, rigorous a posteriori error bounds, and offline–online computational procedures for the accurate, fast, and reliable…”
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12
Tsunami risk assessments in Messina, Sicily – Italy
Published in Natural hazards and earth system sciences (17-01-2012)“…We present a first detailed tsunami risk assessment for the city of Messina where one of the most destructive tsunami inundations of the last centuries…”
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Coseismic effects of the 2016 Amatrice seismic sequence: first geological results
Published in Annals of geophysics (01-01-2016)“…Since the beginning of the ongoing Amatrice seismic sequence on August 24, 2016, initiated by a Mw 6.0 normal faulting earthquake, the EMERGEO Working Group…”
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A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities
Published in Computer methods in applied mechanics and engineering (01-02-2018)“…The SCRBE (Static-Condensation Reduced-Basis-Element) method is a component-to-system model order reduction approach for efficient many-query and real-time…”
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Certified reduced basis model validation: A frequentistic uncertainty framework
Published in Computer methods in applied mechanics and engineering (2012)“…We introduce a frequentistic validation framework for assessment — acceptance or rejection — of the consistency of a proposed parametrized partial differential…”
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PROSTATIC ARTERY EMBOLIZATION IN PATIENTS WITH INDWELLING BLADDER CATHETER
Published in Continence (Amsterdam) (01-09-2023)Get full text
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High-fidelity real-time simulation on deployed platforms
Published in Computers & fluids (01-04-2011)“…We present a certified reduced basis method for high-fidelity real-time solution of parametrized partial differential equations on deployed platforms…”
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Journal Article Conference Proceeding -
18
“Natural norm” a posteriori error estimators for reduced basis approximations
Published in Journal of computational physics (01-09-2006)“…We present a technique for the rapid and reliable prediction of linear-functional outputs of coercive and non-coercive linear elliptic partial differential…”
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A Two-Step Certified Reduced Basis Method
Published in Journal of scientific computing (01-04-2012)“…In this paper we introduce a two-step Certified Reduced Basis (RB) method. In the first step we construct from an expensive finite element “truth”…”
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Inverse identification of thermal parameters using reduced-basis method
Published in Computer methods in applied mechanics and engineering (01-07-2005)“…A novel computational method is presented to inversely identify heat convection constants for complex engineering systems. A reduced-basis approach is…”
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