Keimer, Alexander; Pflug, Lukas Discontinuous nonlocal conservation laws and related discontinuous ODEs – existence, uniqueness, stability and regularity. (Lois de conservation non locales discontinues et ODE EDO discontinues correspondantes connexes – existence, unicité, stabilité et régularité.) (English. French summary) Zbl 07811835 C. R., Math., Acad. Sci. Paris 361, 1723-1760 (2023). MSC: 34A12 34A36 35L03 35L65 35Q99 35R09 45K05 PDFBibTeX XMLCite \textit{A. Keimer} and \textit{L. Pflug}, C. R., Math., Acad. Sci. Paris 361, 1723--1760 (2023; Zbl 07811835) Full Text: DOI arXiv
Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei; Vuillemot, Killian \(\phi\)-FEM for the heat equation: optimal convergence on unfitted meshes in space. (English) Zbl 07811832 C. R., Math., Acad. Sci. Paris 361, 1699-1710 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 35K05 35B45 35Q79 PDFBibTeX XMLCite \textit{M. Duprez} et al., C. R., Math., Acad. Sci. Paris 361, 1699--1710 (2023; Zbl 07811832) Full Text: DOI arXiv
Burman, Erik; Delay, Guillaume; Ern, Alexandre; Oksanen, Lauri A stability estimate for data assimilation subject to the heat equation with initial datum. (Une estimée de stabilité pour l’assimilation de données pour l’équation de la chaleur avec une donnée initiale.) (English. French summary) Zbl 07811816 C. R., Math., Acad. Sci. Paris 361, 1521-1530 (2023). MSC: 35B60 35A23 35B30 35K05 35K20 PDFBibTeX XMLCite \textit{E. Burman} et al., C. R., Math., Acad. Sci. Paris 361, 1521--1530 (2023; Zbl 07811816) Full Text: DOI
Dong, Zhaonan; Ern, Alexandre; Guermond, Jean-Luc Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence. (English) Zbl 1514.65014 C. R., Math., Acad. Sci. Paris 361, 723-736 (2023). MSC: 65D05 65N30 41A65 PDFBibTeX XMLCite \textit{Z. Dong} et al., C. R., Math., Acad. Sci. Paris 361, 723--736 (2023; Zbl 1514.65014) Full Text: DOI arXiv
Cancès, Clément; Venel, Juliette On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations. (English) Zbl 1507.65148 C. R., Math., Acad. Sci. Paris 361, 535-558 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 65H10 60J76 35K51 78A57 76R50 35Q84 PDFBibTeX XMLCite \textit{C. Cancès} and \textit{J. Venel}, C. R., Math., Acad. Sci. Paris 361, 535--558 (2023; Zbl 1507.65148) Full Text: DOI arXiv
Mandel, Rainer; Moitier, Zoïs; Verfürth, Barbara Nonlinear Helmholtz equations with sign-changing diffusion coefficient. (English) Zbl 1490.35032 C. R., Math., Acad. Sci. Paris 360, 513-538 (2022). MSC: 35B32 35J25 35J61 35M12 47A10 PDFBibTeX XMLCite \textit{R. Mandel} et al., C. R., Math., Acad. Sci. Paris 360, 513--538 (2022; Zbl 1490.35032) Full Text: DOI arXiv
Acevedo Martínez, Ramiro Miguel; Gómez Mosquera, Christian Camilo Finite element error estimates for a mixed degenerate parabolic model. (Des estimations d’erreur par éléments finis pour un modèle parabolique dégénéré mixte.) (English. French summary) Zbl 1490.65186 C. R., Math., Acad. Sci. Paris 360, 431-438 (2022). MSC: 65M60 65M06 65N30 65M15 35K65 78A25 78M10 78M20 PDFBibTeX XMLCite \textit{R. M. Acevedo Martínez} and \textit{C. C. Gómez Mosquera}, C. R., Math., Acad. Sci. Paris 360, 431--438 (2022; Zbl 1490.65186) Full Text: DOI
Maury, Bertrand; Al Reda, Fatima Game-theoretic and inhibition-based models for crowd motion. (Principes de théorie des jeux et comportement d’inhibition dans les modèles de foules.) (English. French summary) Zbl 1480.91166 C. R., Math., Acad. Sci. Paris 359, No. 9, 1071-1083 (2021). MSC: 91D25 91A80 PDFBibTeX XMLCite \textit{B. Maury} and \textit{F. Al Reda}, C. R., Math., Acad. Sci. Paris 359, No. 9, 1071--1083 (2021; Zbl 1480.91166) Full Text: DOI
Jamelot, Erell; Madiot, François Numerical analysis of the neutron multigroup \(SP_N\) equations. (Analyse numérique des équations de la neutronique \(SP_N\) multigroupe.) (English. French summary) Zbl 1478.65086 C. R., Math., Acad. Sci. Paris 359, No. 5, 533-545 (2021). MSC: 65M60 65M12 65N25 35B45 82D75 82M10 35Q49 35Q82 PDFBibTeX XMLCite \textit{E. Jamelot} and \textit{F. Madiot}, C. R., Math., Acad. Sci. Paris 359, No. 5, 533--545 (2021; Zbl 1478.65086) Full Text: DOI
Bécache, Éliane; Fliss, Sonia; Kachanovska, Maryna; Kazakova, Maria On a surprising instability result of perfectly matched layers for Maxwell’s equations in 3D media with diagonal anisotropy. (English. French summary) Zbl 1464.35340 C. R., Math., Acad. Sci. Paris 359, No. 3, 249-256 (2021). MSC: 35Q61 78A40 35B35 PDFBibTeX XMLCite \textit{É. Bécache} et al., C. R., Math., Acad. Sci. Paris 359, No. 3, 249--256 (2021; Zbl 1464.35340) Full Text: DOI
Israwi, Samer; Kalisch, Henrik A mathematical justification of the momentum density function associated to the KdV equation. (English. French summary) Zbl 1459.76022 C. R., Math., Acad. Sci. Paris 359, No. 1, 39-45 (2021). MSC: 76B15 35Q53 PDFBibTeX XMLCite \textit{S. Israwi} and \textit{H. Kalisch}, C. R., Math., Acad. Sci. Paris 359, No. 1, 39--45 (2021; Zbl 1459.76022) Full Text: DOI arXiv
Dapogny, Charles A connection between topological ligaments in shape optimization and thin tubular inhomogeneities. (English. French summary) Zbl 1448.74086 C. R., Math., Acad. Sci. Paris 358, No. 2, 119-127 (2020). MSC: 74P10 74K99 74E05 74G10 PDFBibTeX XMLCite \textit{C. Dapogny}, C. R., Math., Acad. Sci. Paris 358, No. 2, 119--127 (2020; Zbl 1448.74086) Full Text: DOI arXiv
Le Potier, Christophe A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators. (Une combinaison d’ordre 2 de méthodes vérifiant un principe du maximum pour la discrétisation d’opérateurs de diffusion.) (English. French summary) Zbl 1447.65115 C. R., Math., Acad. Sci. Paris 358, No. 1, 89-95 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 35J15 35B45 PDFBibTeX XMLCite \textit{C. Le Potier}, C. R., Math., Acad. Sci. Paris 358, No. 1, 89--95 (2020; Zbl 1447.65115) Full Text: DOI
Audouze, Christophe; Nair, Prasanth B. Sparse approximate solutions to stochastic Galerkin equations. (Approximations creuses pour la méthode de Galerkin stochastique.) (English. French summary) Zbl 1497.65015 C. R., Math., Acad. Sci. Paris 357, No. 6, 561-570 (2019). MSC: 65C30 35R60 65N30 65F10 60H15 60H35 65F08 PDFBibTeX XMLCite \textit{C. Audouze} and \textit{P. B. Nair}, C. R., Math., Acad. Sci. Paris 357, No. 6, 561--570 (2019; Zbl 1497.65015) Full Text: DOI
Hillairet, Matthieu; Seck, Diaraf; Sokhna, Lamine Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp. (Note sur la chute d’un solide axisymétrique dans un fluide parfait au-dessus d’un plan horizontal.) (English. French summary) Zbl 1410.35096 C. R., Math., Acad. Sci. Paris 356, No. 11-12, 1156-1166 (2018). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 35J20 74F10 PDFBibTeX XMLCite \textit{M. Hillairet} et al., C. R., Math., Acad. Sci. Paris 356, No. 11--12, 1156--1166 (2018; Zbl 1410.35096) Full Text: DOI
Nguyen, Hoai-Minh; Vinoles, Valentin Electromagnetic wave propagation in media consisting of dispersive metamaterials. (Propagation d’une onde électromagnétique dans un milieu constitué de métamatériaux dispersifs.) (English. French summary) Zbl 1394.78004 C. R., Math., Acad. Sci. Paris 356, No. 7, 757-775 (2018). MSC: 78A25 35Q61 35B30 35B65 78A40 PDFBibTeX XMLCite \textit{H.-M. Nguyen} and \textit{V. Vinoles}, C. R., Math., Acad. Sci. Paris 356, No. 7, 757--775 (2018; Zbl 1394.78004) Full Text: DOI arXiv
Le Potier, Christophe A nonlinear correction and local minimum principle for diffusion operators with finite differences. (Sur une correction non linéaire et un principe du minimum local pour la discrétisation d’opérateurs de diffusion en différences finies.) (French. Abridged English version) Zbl 1384.65077 C. R., Math., Acad. Sci. Paris 356, No. 1, 100-106 (2018). MSC: 65N06 35J25 65N12 PDFBibTeX XMLCite \textit{C. Le Potier}, C. R., Math., Acad. Sci. Paris 356, No. 1, 100--106 (2018; Zbl 1384.65077) Full Text: DOI
Duran, Arnaud; Vila, Jean-Paul; Baraille, Rémy Semi-implicit staggered mesh scheme for the multi-layer shallow water system. (Schéma semi-implicite sur maillages décalés pour le système shallow water multi-couches.) (English. French summary) Zbl 1457.65104 C. R., Math., Acad. Sci. Paris 355, No. 12, 1298-1306 (2017). MSC: 65M60 65M50 76B70 65M12 PDFBibTeX XMLCite \textit{A. Duran} et al., C. R., Math., Acad. Sci. Paris 355, No. 12, 1298--1306 (2017; Zbl 1457.65104) Full Text: DOI
Carvalho, Camille; Chesnel, Lucas; Ciarlet, Patrick jun. Eigenvalue problems with sign-changing coefficients. (Problèmes aux valeurs propres en présence de coefficients changeant de signe.) (English. Abridged French version) Zbl 1369.65139 C. R., Math., Acad. Sci. Paris 355, No. 6, 671-675 (2017). MSC: 65N25 65N30 35P15 PDFBibTeX XMLCite \textit{C. Carvalho} et al., C. R., Math., Acad. Sci. Paris 355, No. 6, 671--675 (2017; Zbl 1369.65139) Full Text: DOI
Abdulle, Assyr; Huber, Martin E.; Lemaire, Simon An optimization-based numerical method for diffusion problems with sign-changing coefficients. (Une méthode d’optimisation pour des problèmes de diffusion avec changement de signe.) (English. Abridged French version) Zbl 1362.65120 C. R., Math., Acad. Sci. Paris 355, No. 4, 472-478 (2017). MSC: 65N22 35J25 65N12 PDFBibTeX XMLCite \textit{A. Abdulle} et al., C. R., Math., Acad. Sci. Paris 355, No. 4, 472--478 (2017; Zbl 1362.65120) Full Text: DOI
Azaïez, Mejdi; Ben Belgacem, Faker; Chacón Rebollo, Tomás; Gómez Mármol, Macarena; Sánchez Muñoz, Isabel Error bounds in high-order Sobolev norms for POD expansions of parameterized transient temperatures. (Estimations d’erreur d’ordre élevé pour la décomposition POD appliquée à l’équation de la chaleur parametrisée.) (English. Abridged French version) Zbl 1362.65095 C. R., Math., Acad. Sci. Paris 355, No. 4, 432-438 (2017). MSC: 65M15 65M12 65M60 35K05 PDFBibTeX XMLCite \textit{M. Azaïez} et al., C. R., Math., Acad. Sci. Paris 355, No. 4, 432--438 (2017; Zbl 1362.65095) Full Text: DOI
Legendre, Guillaume; Turinici, Gabriel Second-order in time schemes for gradient flows in Wasserstein and geodesic metric spaces. (Schémas d’ordre deux en temps pour des flots de gradient dans des espaces métriques géodésiques et de Wasserstein.) (English. French summary) Zbl 1360.65212 C. R., Math., Acad. Sci. Paris 355, No. 3, 345-353 (2017). MSC: 65M06 35Q84 65M12 PDFBibTeX XMLCite \textit{G. Legendre} and \textit{G. Turinici}, C. R., Math., Acad. Sci. Paris 355, No. 3, 345--353 (2017; Zbl 1360.65212) Full Text: DOI
Hérard, Jean-Marc; Jung, Jonathan An interface condition to compute compressible flows in variable cross section ducts. (Conditions d’interface pour le calcul d’écoulements compressibles en conduite à section variable.) (English. French summary) Zbl 1380.76081 C. R., Math., Acad. Sci. Paris 354, No. 3, 323-327 (2016). MSC: 76M20 65M06 PDFBibTeX XMLCite \textit{J.-M. Hérard} and \textit{J. Jung}, C. R., Math., Acad. Sci. Paris 354, No. 3, 323--327 (2016; Zbl 1380.76081) Full Text: DOI
O’Connor, Robert Bounding stability constants for affinely parameter-dependent operators. (Des bornes inférieures pour les constantes de stabilité associées à des operateurs avec une dépendance affine des paramètres.) (English. French summary) Zbl 1353.65111 C. R., Math., Acad. Sci. Paris 354, No. 12, 1236-1240 (2016). MSC: 65N12 35G20 65N15 65N30 PDFBibTeX XMLCite \textit{R. O'Connor}, C. R., Math., Acad. Sci. Paris 354, No. 12, 1236--1240 (2016; Zbl 1353.65111) Full Text: DOI arXiv
Choulli, Mourad; Zuazua, Enrique Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems. (Dépendance Lipschitz des coefficients comme fonction de la résolvante et approximation greedy pour les problèmes elliptiques scalaires.) (English. French summary) Zbl 1349.35426 C. R., Math., Acad. Sci. Paris 354, No. 12, 1174-1187 (2016). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{M. Choulli} and \textit{E. Zuazua}, C. R., Math., Acad. Sci. Paris 354, No. 12, 1174--1187 (2016; Zbl 1349.35426) Full Text: DOI arXiv
de Buhan, Maya; Dapogny, Charles; Frey, Pascal; Nardoni, Chiara An optimization method for elastic shape matching. (Une méthode d’optimisation pour l’appariement de formes élastiques.) (English. French summary) Zbl 1344.65059 C. R., Math., Acad. Sci. Paris 354, No. 8, 783-787 (2016). MSC: 65K10 49Q10 35Q93 PDFBibTeX XMLCite \textit{M. de Buhan} et al., C. R., Math., Acad. Sci. Paris 354, No. 8, 783--787 (2016; Zbl 1344.65059) Full Text: DOI
Colmenares, Eligio; Gatica, Gabriel N.; Oyarzúa, Ricardo Fixed point strategies for mixed variational formulations of the stationary Boussinesq problem. (Stratégies de point fixe pour formulations variationnelles mixtes du problème stationnaire de Boussinesq.) (English. French summary) Zbl 1338.35356 C. R., Math., Acad. Sci. Paris 354, No. 1, 57-62 (2016). MSC: 35Q35 47H10 PDFBibTeX XMLCite \textit{E. Colmenares} et al., C. R., Math., Acad. Sci. Paris 354, No. 1, 57--62 (2016; Zbl 1338.35356) Full Text: DOI
Daversin, Cécile; Prud’homme, Christophe Simultaneous empirical interpolation and reduced basis method for non-linear problems. (Une méthode EIM bases réduites simultanée pour les équations aux dérivées partielles non linéaires et non affines.) (English. French summary) Zbl 1382.65386 C. R., Math., Acad. Sci. Paris 353, No. 12, 1105-1109 (2015). MSC: 65N30 PDFBibTeX XMLCite \textit{C. Daversin} and \textit{C. Prud'homme}, C. R., Math., Acad. Sci. Paris 353, No. 12, 1105--1109 (2015; Zbl 1382.65386) Full Text: DOI arXiv
Abdulle, Assyr; Budáč, Ondrej A Petrov-Galerkin reduced basis approximation of the Stokes equation in parameterized geometries. (Une méthode d’éléments finis de type Petrov-Galerkin pour l’approximation en base réduite du probléme de Stokes.) (English. Abridged French version) Zbl 1320.76057 C. R., Math., Acad. Sci. Paris 353, No. 7, 641-645 (2015). MSC: 76M10 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{O. Budáč}, C. R., Math., Acad. Sci. Paris 353, No. 7, 641--645 (2015; Zbl 1320.76057) Full Text: DOI
Jamróz, Grzegorz Nonnegative measures belonging to \(H^{-1}(\mathbb{R}^2)\). (Les mesures positives appartenantes à \(H^{-1}(\mathbb{R}^2)\).) (English. French summary) Zbl 1323.35139 C. R., Math., Acad. Sci. Paris 353, No. 6, 529-534 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q31 PDFBibTeX XMLCite \textit{G. Jamróz}, C. R., Math., Acad. Sci. Paris 353, No. 6, 529--534 (2015; Zbl 1323.35139) Full Text: DOI arXiv
Del Moral, Pierre; Kohn, Robert; Patras, Frédéric A duality formula for Feynman-Kac path particle models. (Une formule de dualité pour des modèles particulaires de type Feynman-Kac trajectoriels.) (English. Abridged French version) Zbl 1323.60126 C. R., Math., Acad. Sci. Paris 353, No. 5, 465-469 (2015). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60K35 60J10 60K40 PDFBibTeX XMLCite \textit{P. Del Moral} et al., C. R., Math., Acad. Sci. Paris 353, No. 5, 465--469 (2015; Zbl 1323.60126) Full Text: DOI
Claeys, Xavier Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions. (Stabilité des cavités électromagnétiques perturbées par des petites inclusions parfaitement conductrices.) (English. Abridged French version) Zbl 1315.35212 C. R., Math., Acad. Sci. Paris 353, No. 2, 139-142 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q60 78A45 PDFBibTeX XMLCite \textit{X. Claeys}, C. R., Math., Acad. Sci. Paris 353, No. 2, 139--142 (2015; Zbl 1315.35212) Full Text: DOI
Nguyen, Hoai-Minh Cloaking via anomalous localized resonance. A connection between the localized resonance and the blow up of the power for doubly complementary media. (Invisibilité par résonance localisée anormale. Une liaison entre la résonance localisée et l’exposion de la puissance pour les milieux doublement complémentaires.) (English. French summary) Zbl 1368.78057 C. R., Math., Acad. Sci. Paris 353, No. 1, 41-46 (2015). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 35B34 35B35 35Q60 35J25 78M35 PDFBibTeX XMLCite \textit{H.-M. Nguyen}, C. R., Math., Acad. Sci. Paris 353, No. 1, 41--46 (2015; Zbl 1368.78057) Full Text: DOI Link
Di Pietro, Daniele A.; Ern, Alexandre Hybrid high-order methods for variable-diffusion problems on general meshes. (Méthodes hybrides d’ordre élevé pour des problèmes à diffusion variable sur des maillages généraux.) (English. French summary) Zbl 1308.65196 C. R., Math., Acad. Sci. Paris 353, No. 1, 31-34 (2015). MSC: 65N30 35J05 65N12 65N15 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{A. Ern}, C. R., Math., Acad. Sci. Paris 353, No. 1, 31--34 (2015; Zbl 1308.65196) Full Text: DOI HAL
Parisot, Martin; Vila, Jean-Paul Numerical scheme for multilayer shallow-water model in the low-Froude number regime. (Schéma numérique pour les modèles de Saint-Venant multi-couche à faible nombre de Froude.) (English. French summary) Zbl 1302.76133 C. R., Math., Acad. Sci. Paris 352, No. 11, 953-957 (2014). MSC: 76M20 65M06 65M12 76B15 PDFBibTeX XMLCite \textit{M. Parisot} and \textit{J.-P. Vila}, C. R., Math., Acad. Sci. Paris 352, No. 11, 953--957 (2014; Zbl 1302.76133) Full Text: DOI HAL
Le Potier, Christophe A nonlinear second order in space correction and maximum principle for diffusion operators. (Correction non linéaire d’ordre 2 et principe du maximum pour la discrétisation d’opérateurs de diffusion.) (French. Abridged English version) Zbl 1303.65090 C. R., Math., Acad. Sci. Paris 352, No. 11, 947-952 (2014). MSC: 65N08 35J25 35B50 PDFBibTeX XMLCite \textit{C. Le Potier}, C. R., Math., Acad. Sci. Paris 352, No. 11, 947--952 (2014; Zbl 1303.65090) Full Text: DOI
Darrigrand, Éric; Gmati, Nabil; Rais, Rania Schwarz method justification of a coupling between finite elements and integral representation for Maxwell exterior problem. (Justification par la méthode de Schwarz du couplage entre éléments finis et représentation intégrale pour le problème de Maxwell en domaine extérieur.) (English. Abridged French version) Zbl 1293.78011 C. R., Math., Acad. Sci. Paris 352, No. 4, 311-315 (2014). MSC: 78M10 65F10 65N30 65F08 78A45 PDFBibTeX XMLCite \textit{É. Darrigrand} et al., C. R., Math., Acad. Sci. Paris 352, No. 4, 311--315 (2014; Zbl 1293.78011) Full Text: DOI HAL
Jäggli, Christoph; Iapichino, Laura; Rozza, Gianluigi An improvement on geometrical parameterizations by transfinite maps. (Une amélioration pour les paramétrages géometriques par les transformations transfinies.) (English. Abridged French version) Zbl 1302.35167 C. R., Math., Acad. Sci. Paris 352, No. 3, 263-268 (2014). MSC: 35J57 35J05 65N99 PDFBibTeX XMLCite \textit{C. Jäggli} et al., C. R., Math., Acad. Sci. Paris 352, No. 3, 263--268 (2014; Zbl 1302.35167) Full Text: DOI Link
Yano, Masayuki; Penn, James D.; Patera, Anthony T. A model-data weak formulation for simultaneous estimation of state and model bias. (Estimation de la variable d’état et du biais de modèle par une formulation faible incorporant les données.) (English. French summary) Zbl 1281.65148 C. R., Math., Acad. Sci. Paris 351, No. 23-24, 937-941 (2013). MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{M. Yano} et al., C. R., Math., Acad. Sci. Paris 351, No. 23--24, 937--941 (2013; Zbl 1281.65148) Full Text: DOI Link
Ohlberger, Mario; Rave, Stephan Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing. (Approximation non linéaire utilisant des bases réduites d’équations d’évolution paramétrées par une méthode de figeage.) (English. Abridged French version) Zbl 1281.65117 C. R., Math., Acad. Sci. Paris 351, No. 23-24, 901-906 (2013). MSC: 65M08 35Q53 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{S. Rave}, C. R., Math., Acad. Sci. Paris 351, No. 23--24, 901--906 (2013; Zbl 1281.65117) Full Text: DOI arXiv
Repin, Sergey I.; Samrowski, Tatiana S.; Sauter, Stefan A. A posteriori error majorants of the modeling errors for elliptic homogenization problems. (Majorations a posteriori de l’erreur de modélisation de problèmes elliptiques homogénéisés.) (English. Abridged French version) Zbl 1281.65145 C. R., Math., Acad. Sci. Paris 351, No. 23-24, 877-882 (2013). MSC: 65N15 35J25 35B27 65N30 PDFBibTeX XMLCite \textit{S. I. Repin} et al., C. R., Math., Acad. Sci. Paris 351, No. 23--24, 877--882 (2013; Zbl 1281.65145) Full Text: DOI
Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Rixen, Daniel J. Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method. (English. Abridged French version) Zbl 1269.65037 C. R., Math., Acad. Sci. Paris 351, No. 5-6, 197-201 (2013). MSC: 65F15 65N30 65N55 65F08 74B05 74S05 35J40 65N12 PDFBibTeX XMLCite \textit{N. Spillane} et al., C. R., Math., Acad. Sci. Paris 351, No. 5--6, 197--201 (2013; Zbl 1269.65037) Full Text: DOI HAL
Di Pietro, Daniele A. On the conservativity of cell-centered Galerkin methods. (English) Zbl 1269.65123 C. R., Math., Acad. Sci. Paris 351, No. 3-4, 155-159 (2013). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{D. A. Di Pietro}, C. R., Math., Acad. Sci. Paris 351, No. 3--4, 155--159 (2013; Zbl 1269.65123) Full Text: DOI HAL
Viallon, Marie-Claude Error estimate for a 1D-2D finite volume scheme. Comparison with a standard scheme on a 2D non-admissible mesh. (English. Abridged French version) Zbl 1261.65110 C. R., Math., Acad. Sci. Paris 351, No. 1-2, 47-51 (2013). MSC: 65N08 65N15 35J05 PDFBibTeX XMLCite \textit{M.-C. Viallon}, C. R., Math., Acad. Sci. Paris 351, No. 1--2, 47--51 (2013; Zbl 1261.65110) Full Text: DOI
Urban, Karsten; Patera, Anthony T. A new error bound for reduced basis approximation of parabolic partial differential equations. (English. Abridged French version) Zbl 1242.35157 C. R., Math., Acad. Sci. Paris 350, No. 3-4, 203-207 (2012). Reviewer: Alain Brillard (Riedisheim) MSC: 35K90 47F05 49M27 65N15 PDFBibTeX XMLCite \textit{K. Urban} and \textit{A. T. Patera}, C. R., Math., Acad. Sci. Paris 350, No. 3--4, 203--207 (2012; Zbl 1242.35157) Full Text: DOI Link
Penel, Yohan Well-posedness of a low Mach number system. (English. Abridged French version) Zbl 1232.35120 C. R., Math., Acad. Sci. Paris 350, No. 1-2, 51-55 (2012). MSC: 35Q30 76T10 35A01 35F50 35B45 PDFBibTeX XMLCite \textit{Y. Penel}, C. R., Math., Acad. Sci. Paris 350, No. 1--2, 51--55 (2012; Zbl 1232.35120) Full Text: DOI
Benzekry, Sébastien; Chapuisat, Guillemette; Ciccolini, Joseph; Erlinger, Alice; Hubert, Florence A new mathematical model for optimizing the combination between antiangiogenic and cytotoxic drugs in oncology. (English. Abridged French version) Zbl 1232.92052 C. R., Math., Acad. Sci. Paris 350, No. 1-2, 23-28 (2012). MSC: 92C50 34A99 37N25 PDFBibTeX XMLCite \textit{S. Benzekry} et al., C. R., Math., Acad. Sci. Paris 350, No. 1--2, 23--28 (2012; Zbl 1232.92052) Full Text: DOI HAL
Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Pechstein, Clemens; Scheichl, Robert A robust two-level domain decomposition preconditioner for systems of PDEs. (English. Abridged French version) Zbl 1252.65201 C. R., Math., Acad. Sci. Paris 349, No. 23-24, 1255-1259 (2011). MSC: 65N55 65N25 35P15 74B05 PDFBibTeX XMLCite \textit{N. Spillane} et al., C. R., Math., Acad. Sci. Paris 349, No. 23--24, 1255--1259 (2011; Zbl 1252.65201) Full Text: DOI
Kaulmann, Sven; Ohlberger, Mario; Haasdonk, Bernard A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems. (English. Abridged French version) Zbl 1269.65127 C. R., Math., Acad. Sci. Paris 349, No. 23-24, 1233-1238 (2011). MSC: 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{S. Kaulmann} et al., C. R., Math., Acad. Sci. Paris 349, No. 23--24, 1233--1238 (2011; Zbl 1269.65127) Full Text: DOI
Wang, Penghui; Zhang, Xu Numerical solutions of backward stochastic differential equations: a finite transposition method. (English) Zbl 1225.60119 C. R., Math., Acad. Sci. Paris 349, No. 15-16, 901-903 (2011). MSC: 60H35 60H20 PDFBibTeX XMLCite \textit{P. Wang} and \textit{X. Zhang}, C. R., Math., Acad. Sci. Paris 349, No. 15--16, 901--903 (2011; Zbl 1225.60119) Full Text: DOI arXiv
Huynh, D. B. Phuong; Knezevic, David J.; Patera, Anthony T. A Laplace transform certified reduced basis method; application to the heat equation and wave equation. (Une méthode de bases réduites certifiée utilisant la transformation de Laplace; Application à l’équation de la chaleur et à l’équation des ondes.) (English. Abridged French version) Zbl 1215.65156 C. R., Math., Acad. Sci. Paris 349, No. 7-8, 401-405 (2011). MSC: 65M38 35K05 35L05 35A22 44A10 65M15 PDFBibTeX XMLCite \textit{D. B. P. Huynh} et al., C. R., Math., Acad. Sci. Paris 349, No. 7--8, 401--405 (2011; Zbl 1215.65156) Full Text: DOI Link
Di Pietro, Daniele A. A compact cell-centered Galerkin method with subgrid stabilization. (Une méthode de Galerkine centrée aux mailles avec stencil compact et stabilisation de sous-grille.) (English. Abridged French version) Zbl 1208.65165 C. R., Math., Acad. Sci. Paris 349, No. 1-2, 93-98 (2011). MSC: 65N30 35J25 65N25 PDFBibTeX XMLCite \textit{D. A. Di Pietro}, C. R., Math., Acad. Sci. Paris 349, No. 1--2, 93--98 (2011; Zbl 1208.65165) Full Text: DOI
Lassila, Toni; Rozza, Gianluigi Model reduction of semiaffinely parameterized partial differential equations by two-level affine approximation. (Réduction de modèle pour des équations aux dérivées partielles paramétrisées semi-affinement par une approximation affine à deux niveaux.) (English. Abridged French version) Zbl 1211.35019 C. R., Math., Acad. Sci. Paris 349, No. 1-2, 61-66 (2011). MSC: 35A35 65M15 PDFBibTeX XMLCite \textit{T. Lassila} and \textit{G. Rozza}, C. R., Math., Acad. Sci. Paris 349, No. 1--2, 61--66 (2011; Zbl 1211.35019) Full Text: DOI Link
Burman, Erik Ghost penalty. (English) Zbl 1204.65142 C. R., Math., Acad. Sci. Paris 348, No. 21-22, 1217-1220 (2010). MSC: 65N85 35J05 65N30 65F35 PDFBibTeX XMLCite \textit{E. Burman}, C. R., Math., Acad. Sci. Paris 348, No. 21--22, 1217--1220 (2010; Zbl 1204.65142) Full Text: DOI
Belliard, Michel; Fournier, Clarisse Penalized direct forcing and projection schemes for Navier-Stokes. (Méthode de forçage direct pénalisé et schémas de projection pour Navier-Stokes.) (English) Zbl 1205.35185 C. R., Math., Acad. Sci. Paris 348, No. 19-20, 1133-1136 (2010). MSC: 35Q30 76D05 76M10 PDFBibTeX XMLCite \textit{M. Belliard} and \textit{C. Fournier}, C. R., Math., Acad. Sci. Paris 348, No. 19--20, 1133--1136 (2010; Zbl 1205.35185) Full Text: DOI
Le Potier, Christophe A nonlinear correction and maximum principle for diffusion operators discretized using cell-centered finite volume schemes. (Correction non linéaire et principe du maximum pour la discrétisation d’opérateurs de diffusion avec des schémas volumes finis centrés sur les mailles.) (French. Abridged English version) Zbl 1193.65188 C. R., Math., Acad. Sci. Paris 348, No. 11-12, 691-695 (2010). MSC: 65N08 35J25 PDFBibTeX XMLCite \textit{C. Le Potier}, C. R., Math., Acad. Sci. Paris 348, No. 11--12, 691--695 (2010; Zbl 1193.65188) Full Text: DOI
Eftang, Jens L.; Grepl, Martin A.; Patera, Anthony T. A posteriori error bounds for the empirical interpolation method. (English. Abridged French version) Zbl 1190.65018 C. R., Math., Acad. Sci. Paris 348, No. 9-10, 575-579 (2010). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{J. L. Eftang} et al., C. R., Math., Acad. Sci. Paris 348, No. 9--10, 575--579 (2010; Zbl 1190.65018) Full Text: DOI Link
Faccanoni, Gloria; Kokh, Samuel; Allaire, Grégoire Approximation of liquid-vapor phase transition for compressible fluids with tabulated EOS. (English. Abridged French version) Zbl 1258.76162 C. R., Math., Acad. Sci. Paris 348, No. 7-8, 473-478 (2010). MSC: 76T10 80A22 PDFBibTeX XMLCite \textit{G. Faccanoni} et al., C. R., Math., Acad. Sci. Paris 348, No. 7--8, 473--478 (2010; Zbl 1258.76162) Full Text: DOI
Bendali, Abderrahmane; Huard, Alain; Tizaoui, Abdelkader; Tordeux, Sébastien; Vila, Jean-Paul Asymptotic expansions of the eigenvalues of a 2-D boundary-value problem relative to two cavities linked by a hole of small size. (English. Abridged French version) Zbl 1180.35387 C. R., Math., Acad. Sci. Paris 347, No. 19-20, 1147-1152 (2009). MSC: 35P10 35C20 65N25 PDFBibTeX XMLCite \textit{A. Bendali} et al., C. R., Math., Acad. Sci. Paris 347, No. 19--20, 1147--1152 (2009; Zbl 1180.35387) Full Text: DOI
Sentis, Rémi On the Boyd-Kadomtsev system for the three-wave coupling problem. (English. Abridged French version) Zbl 1177.35208 C. R., Math., Acad. Sci. Paris 347, No. 15-16, 933-938 (2009). MSC: 35Q53 65N06 82D10 PDFBibTeX XMLCite \textit{R. Sentis}, C. R., Math., Acad. Sci. Paris 347, No. 15--16, 933--938 (2009; Zbl 1177.35208) Full Text: DOI
Chakir, Rachida; Maday, Yvon A two-grid finite-element/reduced basis scheme for the approximation of the solution of parametric dependent P.D.E. (Une méthode combinée d’éléments finis à deux grilles/bases réduites pour l’approximation des solutions d’une E.D.P. Paramétrique.) (French. Abridged English version) Zbl 1161.65083 C. R., Math., Acad. Sci. Paris 347, No. 7-8, 435-440 (2009). MSC: 65N30 35J25 35J65 65N12 65N15 PDFBibTeX XMLCite \textit{R. Chakir} and \textit{Y. Maday}, C. R., Math., Acad. Sci. Paris 347, No. 7--8, 435--440 (2009; Zbl 1161.65083) Full Text: DOI
Maday, Yvon; Razafison, Ulrich A reduced basis method applied to the restricted Hartree-Fock equations. (English) Zbl 1133.81063 C. R., Math., Acad. Sci. Paris 346, No. 3-4, 243-248 (2008). MSC: 81V55 81-04 PDFBibTeX XMLCite \textit{Y. Maday} and \textit{U. Razafison}, C. R., Math., Acad. Sci. Paris 346, No. 3--4, 243--248 (2008; Zbl 1133.81063) Full Text: DOI
Bonnaillie-Noël, Virginie; Dambrine, Marc; Tordeux, Sébastien; Vial, Grégory On moderately close inclusions for the Laplace equation. (English) Zbl 1129.35024 C. R., Math., Acad. Sci. Paris 345, No. 11, 609-614 (2007). MSC: 35J25 35C20 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., C. R., Math., Acad. Sci. Paris 345, No. 11, 609--614 (2007; Zbl 1129.35024) Full Text: DOI
Lucas, Carine Cosine effect on a viscous shallow water model and its quasigeostrophic and lake equations limits. (Effet cosinus sur un modèle visqueux de type Saint-Venant et ses équations limites de type quasi-géostrophique et lacs.) (French) Zbl 1210.35192 C. R., Math., Acad. Sci. Paris 345, No. 6, 313-318 (2007). MSC: 35Q35 35B35 PDFBibTeX XMLCite \textit{C. Lucas}, C. R., Math., Acad. Sci. Paris 345, No. 6, 313--318 (2007; Zbl 1210.35192) Full Text: DOI
Trabelsi, Saber Solutions of the multiconfiguration time-dependent Hartree-Fock equations with Coulomb interactions. (English. Abridged French version) Zbl 1120.35077 C. R., Math., Acad. Sci. Paris 345, No. 3, 145-150 (2007). MSC: 35Q40 35A05 81Q05 PDFBibTeX XMLCite \textit{S. Trabelsi}, C. R., Math., Acad. Sci. Paris 345, No. 3, 145--150 (2007; Zbl 1120.35077) Full Text: DOI
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. (English) Zbl 1112.65120 C. R., Math., Acad. Sci. Paris 344, No. 6, 403-406 (2007). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{R. Eymard} et al., C. R., Math., Acad. Sci. Paris 344, No. 6, 403--406 (2007; Zbl 1112.65120) Full Text: DOI
Allaire, Grégoire; Faccanoni, Gloria; Kokh, Samuel A strictly hyperbolic equilibrium phase transition model. (English) Zbl 1109.35066 C. R., Math., Acad. Sci. Paris 344, No. 2, 135-140 (2007). MSC: 35L40 76N15 76T10 PDFBibTeX XMLCite \textit{G. Allaire} et al., C. R., Math., Acad. Sci. Paris 344, No. 2, 135--140 (2007; Zbl 1109.35066) Full Text: DOI
Münch, Arnaud Optimal design of the support of the control for the 2D wave equation. (Un problème d’optimisation de forme pour la contrôlabilité exacte de l’équation des ondes 2D.) (French) Zbl 1107.49021 C. R., Math., Acad. Sci. Paris 343, No. 3, 213-218 (2006). MSC: 49M05 93C20 93B40 35L05 PDFBibTeX XMLCite \textit{A. Münch}, C. R., Math., Acad. Sci. Paris 343, No. 3, 213--218 (2006; Zbl 1107.49021) Full Text: DOI
Hild, Patrick A positivity preserving mixed finite element method for the contact problem in elasticity. (Une méthode par éléments finis mixte préservant la positivité pour le problème de contact en élasticité.) (French) Zbl 1098.74051 C. R., Math., Acad. Sci. Paris 343, No. 3, 209-212 (2006). MSC: 74S05 74M15 74B05 65N30 65N15 PDFBibTeX XMLCite \textit{P. Hild}, C. R., Math., Acad. Sci. Paris 343, No. 3, 209--212 (2006; Zbl 1098.74051) Full Text: DOI
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary. (English) Zbl 1096.65113 C. R., Math., Acad. Sci. Paris 342, No. 8, 605-610 (2006). MSC: 65N30 65N15 65N50 35J05 PDFBibTeX XMLCite \textit{Y. Achdou} et al., C. R., Math., Acad. Sci. Paris 342, No. 8, 605--610 (2006; Zbl 1096.65113) Full Text: DOI
Vohralík, Martin Equivalence between mixed finite element and multi-point finite volume methods. (English) Zbl 1058.65132 C. R., Math., Acad. Sci. Paris 339, No. 7, 525-528 (2004). MSC: 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{M. Vohralík}, C. R., Math., Acad. Sci. Paris 339, No. 7, 525--528 (2004; Zbl 1058.65132) Full Text: DOI