Publications related to MATHICSE Technical Report: Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

Certified Reduced Basis Approximation for Parametrized Partial Differential Equations and Applications

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni

Reduction strategies, such as model order reduction (MOR) or reduced basis (RB) methods, in scientic computing may become crucial in applications of increasing complexity. In this paper we review the reduced basis method (built upon a high-delity "truth" f ...

2011

Reduced Basis method and a posteriori error estimation for parametrized linear-quadratic optimal control problems

Luca Dede'

We propose the reduced basis method for the solution of parametrized optimal control problems described by parabolic partial differential equations in the unconstrained case. The method, which is based on an off-line–on-line decomposition procedure, allows ...

2010

Non-Rigid Consistent Registration of 2D Image Sequences

Philippe Thévenaz

We present a novel algorithm for the registration of 2D image sequences that combines the principles of multiresolution B-spline-based elastic registration and those of bidirectional consistent registration. In our method, consecutive triples of images are ...

IOP Science2010

Reduced basis approximation for parametrized partial differential equations

Alfio Quarteroni, Gianluigi Rozza

In this chapter we describe the basic ideas of reduced basis (RB) approximation methods for rapid and reliable evaluation of input-output relationships in which the output is expressed as a functional of a field variable that is the solution of an input-pa ...

Springer2009

The Marr Wavelet Pyramid

Michaël Unser, Dimitri Nestor Alice Van De Ville

We introduce a new semi-orthogonal complex wavelet basis of

L _{ 2 }

(\mathbb{R} ^{ 2 }

). The basis functions are associated to the complex gradient-Laplace operator, which plays a central role in image processing. We define analytically a single- ...

IEEE2008

On the stability of Reduced Basis methods for Stokes Equations in parametrized domains

Gianluigi Rozza

We present an application of reduced basis method for Stokes equations in domains with affine parametric dependence. The essential components of the method are (i) the rapid convergence of global reduced basis approximations – Galerkin projection onto a sp ...

2007

Weak solution of a stationary convection-diffusion model describing binary alloy solidification processes

Jacques Rappaz

Our goal is to study the existence of weak solution for the stationary system of equations describing the solidification process of a binary alloy confined in a bounded regular domain in R-3 and having mixed boundary conditions. (c) 2005 Elsevier Ltd. All ...

2005

Allo-aromadendrane- and picrotoxane-type sesquiterpenes from Dendrobium moniliforme

Jieping Zhu

Eight sesquiterpenes, four stilbene derivs. along with two lignans have been isolated from lipophilic fraction of stems of Dendrobium moniliforme (Orchidaceae). Among the eight sesquiterpenes, one allo-aromadendrane-type (I) and four picrotoxane-type sesqu ...

2003

Nodal high-order methods on unstructured grids - I. Time-domain solution of Maxwell's equations

Jan Sickmann Hesthaven

We present a convergent high-order accurate scheme for the solution of linear conservation laws in geometrically complex domains. As our main example we include a detailed development and analysis of a scheme for the time-domain solution of Maxwell's equat ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2002

The scaled boundary finite-element method – alias consistent infinitesimal finite-element cell method – for unbounded media

Jonathan Leon Wolf

The scaled boundary finite-element method, alias the consistent infinitestimal finite-element cell method, is developed. The governing partial differential equations of linear elastodynamics are transformed to a system of linear second-order ordinary diffe ...

1998

MATHICSE Technical Report: Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries

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Certified Reduced Basis Approximation for Parametrized Partial Differential Equations and Applications

Reduced Basis method and a posteriori error estimation for parametrized linear-quadratic optimal control problems

Non-Rigid Consistent Registration of 2D Image Sequences

Reduced basis approximation for parametrized partial differential equations

The Marr Wavelet Pyramid

On the stability of Reduced Basis methods for Stokes Equations in parametrized domains

Weak solution of a stationary convection-diffusion model describing binary alloy solidification processes

Allo-aromadendrane- and picrotoxane-type sesquiterpenes from Dendrobium moniliforme

Nodal high-order methods on unstructured grids - I. Time-domain solution of Maxwell's equations

The scaled boundary finite-element method – alias consistent infinitesimal finite-element cell method – for unbounded media

On the stability of Reduced Basis methods for Stokes Equations in parametrized domains

Reduced basis approximation for parametrized partial differential equations

Allo-aromadendrane- and picrotoxane-type sesquiterpenes from Dendrobium moniliforme

The Marr Wavelet Pyramid

Non-Rigid Consistent Registration of 2D Image Sequences

Certified Reduced Basis Approximation for Parametrized Partial Differential Equations and Applications

Reduced Basis method and a posteriori error estimation for parametrized linear-quadratic optimal control problems

Weak solution of a stationary convection-diffusion model describing binary alloy solidification processes

The scaled boundary finite-element method – alias consistent infinitesimal finite-element cell method – for unbounded media

Nodal high-order methods on unstructured grids - I. Time-domain solution of Maxwell's equations