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10 papers · 1 filter
An optimal first-order Taylor-like formula with a minimized remainder
Joël Chaskalovic, Franck Assous
In this paper, we derive an optimal first-order Taylor-like formula. In a seminal paper [14], we introduced a new first-order Taylor-like formula that yields a reduced remainder co…
Improved -interpolation error estimates in : Application to finite element method
Joel Chaskalovic, Franck Assous
Based on a new Taylor-like formula, we derived an improved interpolation error estimate in . We compare it with the classical error estimates based on the standard Taylor…
Enhancing Interpolation and Approximation Error Estimates Using a Novel Taylor-like Formula
Joel Chaskalovic, Franck Assous
In this paper, we present an approach to enhance interpolation and approximation error estimates. Based on a previously derived first-order Taylor-like formula, we demonstrate its…
A hybrid level-set / embedded boundary method applied to solidification-melt problems
A. Limare, S. Popinet, C. Josserand +2
In this paper, we introduce a novel way to represent the interface for two-phase flows with phase change. We combine a level-set method with a Cartesian embedded boundary method an…
Goal-oriented error control of stochastic system approximations using metric-based anisotropic adaptations
Jan Van Langenhove, Didier Lucor, Frédéric Alauzet +1
The simulation of complex nonlinear engineering systems such as compressible fluid flows may be targeted to make more efficient and accurate the approximation of a specific (scalar…
Methods of arbitrary optimal order with tetrahedral finite-element meshes forming polyhedral approximations of curved domains
Vitoriano Ruas
In recent papers the author introduced a simple alternative to isoparametric finite elements of the n-simplex type, to enhance the accuracy of approximations of second-order bounda…