Search Results - "Deriaz, Erwan"

Compact finite difference schemes of arbitrary order for the Poisson equation in arbitrary dimensions by Deriaz, Erwan

“…A formulation of the Taylor expansion with symmetric polynomial algebra allows to compute the coefficients of compact finite difference schemes, which solve…”
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High-order Adaptive Mesh Refinement multigrid Poisson solver in any dimension by Deriaz, Erwan

“…A numerical method to solve the d-dimensional Poisson equation with 2pth-order accuracy for arbitrary d and p integers is proposed in the Adaptive Mesh…”
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Adaptive wavelet schemes and finite volumes by Del Sarto, Daniele, Deriaz, Erwan, Lhebrard, Xavier, Rigal, Mathieu

“…We consider a procedure for combining high order finite volumes and tree-based nonuniform grids. Especially, we focus on efficient algorithms for third order…”
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Craya decomposition using compactly supported biorthogonal wavelets by Deriaz, Erwan, Farge, Marie, Schneider, Kai

“…We present a new local Craya–Herring decomposition of three-dimensional vector fields using compactly supported biorthogonal wavelets. Therewith vector-valued…”
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Non-linear CFL Conditions Issued from the von Neumann Stability Analysis for the Transport Equation by Deriaz, Erwan, Haldenwang, Pierre

“…This paper presents a theory of the possible non-linear stability conditions encountered in the simulation of convection dominated problems. Its main objective…”
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STABILITY CONDITIONS FOR THE NUMERICAL SOLUTION OF CONVECTION-DOMINATED PROBLEMS WITH SKEW-SYMMETRIC DISCRETIZATIONS by DERIAZ, ERWAN

“…This paper presents original and close to optimal stability conditions linking the time step and the space step, stronger than the CFL criterion, δt ≤ Cδx α…”
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A multigrid AMR algorithm for the study of magnetic reconnection by Del Sarto, D., Deriaz, E.

“…We address the study of reconnecting instabilities in magnetized plasmas, a highly multiscale process, using an innovative adaptive scheme based on Adaptive…”
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Adaptive multiresolution semi-Lagrangian discontinuous Galerkin methods for the Vlasov equations by Besse, N., Deriaz, E., Madaule, É.

“…We develop adaptive numerical schemes for the Vlasov equation by combining discontinuous Galerkin discretisation, multiresolution analysis and semi-Lagrangian…”
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Orthogonal Helmholtz decomposition in arbitrary dimension using divergence-free and curl-free wavelets by Deriaz, Erwan, Perrier, Valérie

“…We present tensor-product divergence-free and curl-free wavelets, and define associated projectors. These projectors enable the construction of an iterative…”
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Divergence-free and curl-free wavelets in two dimensions and three dimensions: application to turbulent flows by Deriaz, Erwan, Perrier, Valérie

“…We investigate the use of compactly supported divergence-free wavelets for the representation of solutions of the Navier-Stokes equations. After reviewing the…”
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Using divergence-free and curl-free wavelets for the simulation of turbulent flows by Deriaz, Erwan, Perrier, Valérie

“…We present a numerical method based on divergence‐free and curl‐free wavelets to solve the incompressible Navier‐Stokes equations. We introduce a new scheme…”
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Stability conditions for the numerical solution of convection-dominated problems with skew-symmetric discretizations by Deriaz, Erwan

“…This paper presents original and close to optimal stability conditions linking the time step and the space step, stronger than the CFL criterion: $\delta t\leq…”
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L^2$-stability of explicit schemes for incompressible Euler equations by Deriaz, Erwan

“…We present an original study on the numerical stabiliy of explicit schemes solving the incompressible Euler equations on an open domain with slipping boundary…”
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Shannon wavelet approximations of linear differential operators by Deriaz, Erwan

“…Recent works emphasized the interest of numerical solution of PDE's with wavelets. In their works, A.Cohen, W.Dahmen and R.DeVore focussed on the non linear…”
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Divergence-free Wavelets for Navier-Stokes by Deriaz, Erwan, Perrier, Valérie

“…Journal of Turbulence, Volume 7, N 3 2006 In this paper, we investigate the use of compactly supported divergence-free wavelets for the representation of the…”
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