Publications related to Schauder basis

MATHICSE Technical Report : Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems

Andrea Manzoni, Nicola Parolini

We develop a new reduced basis (RB) method for the rapid and reliable approximation of parametrized elliptic eigenvalue problems. The method hinges upon dual weighted residual type a posteriori error indicators which estimate, for any value of the paramete ...

MATHICSE2015

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

Alfio Quarteroni, Gianluigi Rozza, Laura Iapichino

The aim of this work is to solve parametrized partial differential equations in computational domains represented by networks of repetitive geometries by combining reduced basis and domain decomposition techniques. The main idea behind this approach is to ...

MATHICSE2015

Reduced basis multiscale finite element methods for elliptic problems

Jan Sickmann Hesthaven

In this paper, we propose reduced basis multiscale finite element methods (RB-MsFEM) for elliptic problems with highly oscillating coefficients. The method is based on multiscale finite element methods with local test functions that encode the oscillatory ...

Society for Industrial and Applied Mathematics2015

A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction

Jonathan Rochat

To describe and simulate dynamic micromagnetic phenomena, we consider a coupled system of the non-linear Landau-Lifshitz-Gilbert equation and the conservation of momentum equation. This coupling allows one to include magnetostrictive effects into the simul ...

Oxford University Press2014

Reduced basis method for the Stokes equations in decomposable parametrized domains using greedy optimization

Alfio Quarteroni, Gianluigi Rozza, Laura Iapichino

Flow simulations in pipelined channels and several kinds of parametrized configurations have a growing interest in many life sciences and industrial applications. Applications may be found in the analysis of the blood flow in specific compartments of the c ...

Springer2014

Approximation Properties Of Sobolev Splines And The Construction Of Compactly Supported Equivalents

Michaël Unser, John Paul Ward

In this paper, we construct compactly supported radial basis functions that satisfy optimal approximation properties. Error estimates are determined by relating these basis functions to the class of Sobolev splines. Furthermore, we derive new rates for app ...

Siam Publications2014

Exponential Hermite Splines For The Analysis Of Biomedical Images

Michaël Unser, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

We present a new exponential B-spline basis that enables the construction of active contours for the analysis of biomedical images. Our functions generalize the well-known polynomial Hermite B-splines and provide us with a direct control over the tangents ...

Ieee2014

Exponential Hermite Splines for the Analysis of Biomedical Images

Michaël Unser, Ricard Delgado Gonzalo, Virginie Sophie Uhlmann

IEEE2014

An inverse theorem for Gowers norms of trace functions over F-p

Philippe Michel

We study the Gowers uniformity norms of functions over Z/pZ which are trace functions of l-adic sheaves. On the one hand, we establish a strong inverse theorem for these functions, and on the other hand this gives many explicit examples of functions with G ...

Cambridge University Press2013

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Schauder basis

MATHICSE Technical Report : Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems

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

Image coding with incomplete transforms competition for HEVC

Reduced basis multiscale finite element methods for elliptic problems

A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction

Reduced basis method for the Stokes equations in decomposable parametrized domains using greedy optimization

Approximation Properties Of Sobolev Splines And The Construction Of Compactly Supported Equivalents

Exponential Hermite Splines For The Analysis Of Biomedical Images

Exponential Hermite Splines for the Analysis of Biomedical Images

An inverse theorem for Gowers norms of trace functions over F-p

Graph Chatbot

Chat with Graph Search

A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction

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

Image coding with incomplete transforms competition for HEVC

Exponential Hermite Splines For The Analysis Of Biomedical Images

MATHICSE Technical Report : Reduced basis approximation and a posteriori error estimates for parametrized elliptic eigenvalue problems

Approximation Properties Of Sobolev Splines And The Construction Of Compactly Supported Equivalents

An inverse theorem for Gowers norms of trace functions over F-p

Exponential Hermite Splines for the Analysis of Biomedical Images

Reduced basis multiscale finite element methods for elliptic problems

Reduced basis method for the Stokes equations in decomposable parametrized domains using greedy optimization