Publications related to Consistency, Stability, a-Priori and a-Posteriori Errors for Nonlinear Problems

Linear Interpolation Of Biomedical Images Using A Data-Adaptive Kernel

Michaël Unser, John Paul Ward, Aurélien Bourquard, Hagay Kirshner

In this work, we propose a continuous-domain stochastic model that can be applied to image data. This model is autoregressive, and accounts for Gaussian-type as well as for non-Gaussian-type innovations. In order to estimate the corresponding parameters fr ...

IEEE2013

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity

Alfio Quarteroni, Ricardo Esteban Ruiz Baier, Davide Baroli

In this paper we present a discontinuous Galerkin method applied to incompressible nonlinear elastostatics in a total Lagrangian deformation-pressure formulation, for which a suitable interior penalty stabilization is applied. We prove that the proposed di ...

Springer Verlag2013

A priori and a posteriori $W^{1,\infty}$ error analysis of a QC method for complex lattices

Assyr Abdulle, Alexander Shapeev

In this paper we derive regularity results for equilibria of multilattices under an external force and prove a priori and a posteriori error estimates for a multiscale numerical method for computing such equilibria. The estimates are derived in a W-1,W-inf ...

Siam Publications2013

Erosion of soils due to rainfall impact – An interpolation method

David Andrew Barry, Marc Parlange, Alessandro Brovelli, Seifeddine Jomaa

An approximate analytical solution of the Hairsine-Rose model of erosion is obtained by interpolation of asymptotic expressions for large times and great distances. The solution, when erosion is initiated by rainfall impact, is both simple and accurate. Th ...

Wiley-Blackwell2012

GPU Prefilter for Accurate Cubic B-spline Interpolation

Philippe Thévenaz

Achieving accurate interpolation is an important requirement for many signal-processing applications. While nearest-neighbor and linear interpolation methods are popular due to their native GPU support, they unfortunately result in severe undesirable artif ...

Oxford University Press2012

On stable self-similar blow up for equivariant wave maps: The linearized problem

Roland Donninger

We consider co-rotational wave maps from (3+1) Minkowski space into the three-sphere. This is an energy supercritical model which is known to exhibit finite time blow up via self-similar solutions. The ground state self-similar solution

f_0

is known in c ...

2012

Reconstruction of Large, Irregularly Sampled Multidimensional Images. A Tensor-Based Approach

Michaël Unser

Many practical applications require the reconstruction of images from irregularly sampled data. The spline formalism offers an attractive framework for solving this problem; the currently available methods, however, are hard to deploy for large-scale inter ...

IEEE2011

TV-Regularized Generation of Planar Images from Omnicams

Pascal Frossard, Pierre Vandergheynst, Laurent Jacques, Didier Raboud

This paper addresses the problem of mapping images between different vision sensors. Such a mapping could be modeled as a sampling problem that has to encompass the change of geometry between the two sensors and the specific discretization of the real scen ...

2009

Interpolation and Symbol Elimination

Laura Ildiko Kovacs

We prove several results related to local proofs, interpolation and superposition calculus and discuss their use in predicate abstraction and invariant generation. Our proofs and results suggest that symbol-eliminating inferences may be an interesting alte ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2009

Scale dependence of subgrid-scale model coefficients: An a priori study

Marc Parlange, Charles Vivant Ignacio Meneveau, Nikki Vercauteren

Dynamic subgrid-scale models require an a priori assumption about the variation in the model coefficients with filter scale. The standard dynamic model assumes independence of scale while the scale dependent model assumes power-law dependence. In this pape ...

2008

Consistency, Stability, a-Priori and a-Posteriori Errors for Nonlinear Problems

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Linear Interpolation Of Biomedical Images Using A Data-Adaptive Kernel

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity

A priori and a posteriori $W^{1,\infty}$ error analysis of a QC method for complex lattices

Erosion of soils due to rainfall impact – An interpolation method

GPU Prefilter for Accurate Cubic B-spline Interpolation

On stable self-similar blow up for equivariant wave maps: The linearized problem

Reconstruction of Large, Irregularly Sampled Multidimensional Images. A Tensor-Based Approach

TV-Regularized Generation of Planar Images from Omnicams

Interpolation and Symbol Elimination

Scale dependence of subgrid-scale model coefficients: An a priori study

A priori and a posteriori $W^{1,\infty}$ error analysis of a QC method for complex lattices

Reconstruction of Large, Irregularly Sampled Multidimensional Images. A Tensor-Based Approach

Linear Interpolation Of Biomedical Images Using A Data-Adaptive Kernel

Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity

GPU Prefilter for Accurate Cubic B-spline Interpolation

Interpolation and Symbol Elimination

Erosion of soils due to rainfall impact – An interpolation method

On stable self-similar blow up for equivariant wave maps: The linearized problem

Scale dependence of subgrid-scale model coefficients: An a priori study

TV-Regularized Generation of Planar Images from Omnicams