Publications related to On ANOVA expansions and strategies for choosing the anchor point

Parameter Determination of Sensor Stochastic Models under Covariate Dependency

Jan Skaloud, Stéphane Guerrier, Philipp Clausen

The proliferation of (low-cost) sensors provokes new challenges in data fusion. This is related to the correctness of stochastic characterization that is a prerequisite for optimal estimation of parameters from redundant observations. Different (statistica ...

2017

The tip region of a hydraulic fracture driven by a power law fluid

Brice Tanguy Alphonse Lecampion, Fatima-Ezzahra Moukhtari

We investigate the tip region of a power law fluid driven fracture propagating at constant velocity V in an impermeable linear elastic medium with the presence of fluid lag of a priori unknown length. The fracture is loaded by the internal fluid pressure p ...

2016

On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations

Jan Sickmann Hesthaven

We propose two different improvements of reduced basis (RB) methods to enable the efficient and accurate evaluation of an output functional based on the numerical solution of parametrized partial differential equations with a possibly high-dimensional para ...

Springer Verlag2016

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

Sohrab Mirshams Shahshahani

We construct a one parameter family of nite time blow ups to the co-rotational wave maps problem from

S^2\times R

to

S^2

parameterized by

\nu \epsilon (\frac{1}{2},1]

. The longitudinal function

u(t,\alpha)

which is the main object of study will be ...

2016

Calderón–Zygmund estimates and non-uniformly elliptic operators

Maria Colombo

We consider a class of non-uniformly nonlinear elliptic equations whose model is given by -div(vertical bar Du vertical bar(p-2)Du a(x) vertical bar Du vertical bar(q-2)Du) = -div(vertical bar F vertical bar Fp-2 a(x)vertical bar F vertical bar Fq-2) where ...

2016

Numerical methods for nanophotonics: standard problems and future challenges

Olivier Martin, Jérémy Butet, Benjamin Gallinet

Nanoscale photonic systems involve a broad variety of light-matter interaction regimes beyond the diffraction limit and have opened the path for a variety of application opportunities in sensing, solid-state lighting, light harvesting, and optical signal p ...

Wiley-VCH Verlag Berlin2015

Accuracy of surface integral equation matrix elements in plasmonic calculations

Olivier Martin, Raziman Thottungal Valapu, Eric Claude Le Ru

We study the convergence of the integrals required to be evaluated in the surface integral equation (SIE) formulation (or method of moments) for simulating the optical response of plasmonic nanostructures. We analyze how the numerical quadratures used to c ...

Optical Soc Amer2015

Regularity for Double Phase Variational Problems

Maria Colombo

We prove sharp regularity theorems for minimisers of a class of variational integrals whose integrand switches between two different types of degenerate elliptic phases, according to the zero set of a modulating coefficient . The model case is given by the ...

2015

The weighted averages method for semi-infinite range integrals involving products of Bessel functions

Juan Ramon Mosig, Ruzica Golubovic

An efficient and accurate method, based on the weighted averages (WA) extrapolation technique, is presented for the evaluation of semi-infinite range integrals involving products of Bessel functions of arbitrary order. The method requires splitting the int ...

Institute of Electrical and Electronics Engineers2013

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

Silvia Sabatini

In [GT], Goldin and Tolman extend some ideas from Schubert calculus to the more general setting of Hamiltonian torus actions on compact symplectic manifolds with isolated fixed points. (See also [Kn99,Kn08].) The main goal of this paper is to build on this ...

Int Press Boston, Inc2013

On ANOVA expansions and strategies for choosing the anchor point

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Parameter Determination of Sensor Stochastic Models under Covariate Dependency

The tip region of a hydraulic fracture driven by a power law fluid

On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

Calderón–Zygmund estimates and non-uniformly elliptic operators

Numerical methods for nanophotonics: standard problems and future challenges

Accuracy of surface integral equation matrix elements in plasmonic calculations

Regularity for Double Phase Variational Problems

The weighted averages method for semi-infinite range integrals involving products of Bessel functions

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

Parameter Determination of Sensor Stochastic Models under Covariate Dependency

Regularity for Double Phase Variational Problems

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

Accuracy of surface integral equation matrix elements in plasmonic calculations

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations

Calderón–Zygmund estimates and non-uniformly elliptic operators

Numerical methods for nanophotonics: standard problems and future challenges

The weighted averages method for semi-infinite range integrals involving products of Bessel functions

The tip region of a hydraulic fracture driven by a power law fluid