CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
1994; World Scientific; Volume: 04; Issue: 04 Linguagem: Inglês
10.1142/s0218202594000327
ISSN1793-6314
Autores Tópico(s)Reservoir Engineering and Simulation Methods
ResumoMathematical Models and Methods in Applied SciencesVol. 04, No. 04, pp. 571-587 (1994) No AccessCHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMSFRANCO BREZZI and ALESSANDRO RUSSOFRANCO BREZZIIstituto di Analisi Numerica del CNR, Corso Carlo Alberto 5, 27100 Pavia, ItalyAlso at Dipartimento di Matematica, Università di Pavia, Strada Nuova 65, 27100 Pavia, Italy. and ALESSANDRO RUSSOIstituto di Analisi Numerica del CNR, Corso Carlo Alberto 5, 27100 Pavia, Italyhttps://doi.org/10.1142/S0218202594000327Cited by:243 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Remember to check out the Most Cited Articles! View our Mathematical Modelling books Featuring authors Frederic Y M Wan, Gregory Baker and more! FiguresReferencesRelatedDetailsCited By 243Dual least‐squares finite element method with stabilizationEunjung Lee and Hyesun Na4 January 2023 | Numerical Methods for Partial Differential Equations, Vol. 39, No. 4Investigating the spatial interaction of immune cells in colon cancerNavid Mohammad Mirzaei, Wenrui Hao and Leili Shahriyari1 May 2023 | iScience, Vol. 26, No. 5Stabilized and variationally consistent integrated meshfree formulation for advection-dominated problemsTsung-Hui Huang1 Jan 2023 | Computer Methods in Applied Mechanics and Engineering, Vol. 403Local maximum-entropy approximation based stabilization methods for the convection diffusion problemsSreehari Peddavarapu and Raghuraman Srinivasan1 Jan 2023 | Engineering Analysis with Boundary Elements, Vol. 146Bio-Mechanical Model of Osteosarcoma Tumor Microenvironment: A Porous Media ApproachYu Hu, Navid Mohammad Mirzaei and Leili Shahriyari13 December 2022 | Cancers, Vol. 14, No. 24A PDE Model of Breast Tumor Progression in MMTV-PyMT MiceNavid Mohammad Mirzaei, Zuzana Tatarova, Wenrui Hao, Navid Changizi and Alireza Asadpoure et al.17 May 2022 | Journal of Personalized Medicine, Vol. 12, No. 5A Two-Level Nonconforming Rotated Quadrilateral Finite Element Method for the Stationary Navier–Stokes EquationsWeijun Tian, Liquan Mei, Yinnian He and M.I. Herreros23 Feb 2022 | Mathematical Problems in Engineering, Vol. 2022Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methodsThéophile Chaumont-Frelet, Alexandre Ern, Simon Lemaire and Frédéric Valentin10 February 2022 | ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 56, No. 1Feedforward Neural Networks for Solving Steady-State Convection Diffusion Equation柳君 孟1 Jan 2022 | Advances in Applied Mathematics, Vol. 11, No. 01Error estimates for a fully discrete $\varepsilon-$uniform finite element method on quasi uniform meshesAli ŞENDUR, Srinivasan NATESAN and Gautam SINGH15 October 2021 | Hacettepe Journal of Mathematics and Statistics, Vol. 50, No. 5Mixed-Precision Variational Multiscale Modeling with Discontinuous Subscales for Scalar TransportChristopher Coley28 July 2021Variationally derived closure models for large eddy simulation of incompressible turbulent flowsArif Masud and Lixing Zhu3 May 2021 | International Journal for Numerical Methods in Fluids, Vol. 93, No. 7Numerical homogenization beyond scale separationRobert Altmann, Patrick Henning and Daniel Peterseim4 August 2021 | Acta Numerica, Vol. 30Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis FunctionsYifan Chen, Thomas Y. Hou and Yixuan Wang8 June 2021 | Multiscale Modeling & Simulation, Vol. 19, No. 2Modeling of steep layers in singularly perturbed diffusion–reaction equation via flexible fine-scale basisArif Masud, Marcelino Anguiano and Isaac Harari1 Dec 2020 | Computer Methods in Applied Mechanics and Engineering, Vol. 372FIC–FEM formulation for the multidimensional transient advection–diffusion–absorption equationAlbert Puigferrat, Ignasi de-Pouplana and Eugenio Oñate1 Jun 2020 | Computer Methods in Applied Mechanics and Engineering, Vol. 365Performance evaluation of solar flat plate collector using different working fluids through computational fluid dynamicsImran Nazir Unar, Ghulamullah Maitlo, Shoaib Ahmed, Syed Saad Ali and Abdul Qayoom Memon et al.14 January 2020 | SN Applied Sciences, Vol. 2, No. 2Multiscale Finite Element Formulation for the 3D Diffusion-Convection EquationRamoni Z. S. Azevedo and Isaac P. Santos29 September 2020Simplex-Averaged Finite Element Methods for $H$(grad), $H$(curl), and $H$(div) Convection-Diffusion ProblemsShuonan Wu and Jinchao Xu27 February 2020 | SIAM Journal on Numerical Analysis, Vol. 58, No. 1Local enhancement of functional evaluation and adjoint error estimation for variational multiscale formulationsVikram V. Garg and Roy H. Stogner1 Sep 2019 | Computer Methods in Applied Mechanics and Engineering, Vol. 354A residual-free bubble formulation for nonlinear elliptic problems with oscillatory coefficientsManuel Barreda and Alexandre L. Madureira24 August 2018 | International Journal of Computer Mathematics, Vol. 96, No. 7Performance analysis of parallel stabilized mixed Galerkin method for three-dimensional transient Darcy flow using mesh reordering techniquesMasroor Hussain, Shahab U. Ansari, Tareq Manzoor, Aijaz Ahmad and Khurram Imran Khan1 May 2019 | Journal of Petroleum Science and Engineering, Vol. 176An edge‐based pressure stabilization technique for finite elements on arbitrarily anisotropic meshesStefan Frei26 December 2018 | International Journal for Numerical Methods in Fluids, Vol. 89, No. 10Smart finite elements: A novel machine learning applicationGerman Capuano and Julian J. Rimoli1 Mar 2019 | Computer Methods in Applied Mechanics and Engineering, Vol. 345A high order discontinuous Galerkin method with Lagrange multipliers for second-order elliptic problemsMi-Young Kim and Dong-wook Shin1 Jan 2019 | Applied Numerical Mathematics, Vol. 135A stabilizing augmented grid for rectangular discretizations of the convection–diffusion–reaction problemsAli Sendur9 July 2018 | Calcolo, Vol. 55, No. 3Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection–Diffusion EquationsYana Di, Hehu Xie and Xiaobo Yin17 November 2017 | Journal of Scientific Computing, Vol. 76, No. 1Numerical Solution and Analysis of Three-Dimensional Transient Darcy FlowShahab U. Ansari, Masroor Hussain, Ahmar Rashid, Suleman Mazhar and S. M. Ahmad20 March 2018 | Transport in Porous Media, Vol. 123, No. 2Finite Element Multi-scale Modeling of Chemical Segregation in Steel Solidification Taking into Account the Transport of Equiaxed GrainsThi-Thuy-My Nguyen, Charles-André Gandin, Hervé Combeau, Miha Založnik and Michel Bellet14 February 2018 | Metallurgical and Materials Transactions A, Vol. 49, No. 5Variational multiscale modeling with discontinuous subscales: analysis and application to scalar transportChristopher Coley and John A. Evans8 November 2017 | Meccanica, Vol. 53, No. 6Enriched Spectral Method for Stiff Convection-Dominated EquationsYoungjoon Hong and Chang-Yeol Jung11 July 2017 | Journal of Scientific Computing, Vol. 74, No. 3A parameter-free dynamic diffusion method for advection–diffusion–reaction problemsAndrea M.P. Valli, Regina C. Almeida, Isaac P. Santos, Lucia Catabriga and Sandra M.C. Malta et al.1 Jan 2018 | Computers & Mathematics with Applications, Vol. 75, No. 1A Truly Two-Dimensional Discretization of Drift-Diffusion Equations on Cartesian GridsRoberta Bianchini and Laurent Gosse1 Jan 2018 | SIAM Journal on Numerical Analysis, Vol. 56, No. 5A Comparative Study on Stabilized Finite Element Methods for the Convection-Diffusion-Reaction ProblemsAli Sendur1 Jan 2018 | Journal of Applied Mathematics, Vol. 2018Accurate FIC-FEM formulation for the multidimensional steady-state advection–diffusion–absorption equationEugenio Oñate, Prashanth Nadukandi and Juan Miquel1 Dec 2017 | Computer Methods in Applied Mechanics and Engineering, Vol. 327A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection–diffusion problemsRaunak Borker, Charbel Farhat and Radek Tezaur1 Dec 2017 | Computer Methods in Applied Mechanics and Engineering, Vol. 327Multiscale and Stabilized MethodsThomas J. R. Hughes, Guglielmo Scovazzi and Leopoldo P. Franca28 November 2017Multiscale and Stabilized MethodsThomas J. R. Hughes, Guglielmo Scovazzi and Leopoldo P. Franca24 July 2017Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flowsT.M. van Opstal, J. Yan, C. Coley, J.A. Evans and T. Kvamsdal et al.1 Apr 2017 | Computer Methods in Applied Mechanics and Engineering, Vol. 316Virtual element method stabilization for convection-diffusion-reaction problems using the link-cutting conditionD. Irisarri25 March 2016 | Calcolo, Vol. 54, No. 1A high-order discontinuous Galerkin method for unsteady advection–diffusion problemsRaunak Borker, Charbel Farhat and Radek Tezaur1 Mar 2017 | Journal of Computational Physics, Vol. 332Introductory Material and Finite Element MethodsAlexandre L. Madureira16 February 2017Local Projection Stabilization for Convection-Diffusion-Reaction Equations on SurfacesKristin Simon and Lutz Tobiska27 October 2017IntroductionAndrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis and Paul Houston28 November 2017A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible FlowsNaveed Ahmed, Tomás Chacón Rebollo, Volker John and Samuele Rubino21 December 2015 | Archives of Computational Methods in Engineering, Vol. 24, No. 1A stabilized finite element method for the convection dominated diffusion optimal control problemZhifeng Weng, Jerry Zhijian Yang and Xiliang Lu26 November 2015 | Applicable Analysis, Vol. 95, No. 12Bubble-based stabilized finite element methods for time-dependent convection-diffusion-reaction problemsA. Sendur and A. Nesliturk5 October 2016 | International Journal for Numerical Methods in Fluids, Vol. 82, No. 8A new stabilized linear finite element method for solving reaction–convection–diffusion equationsPo-Wen Hsieh and Suh-Yuh Yang1 Aug 2016 | Computer Methods in Applied Mechanics and Engineering, Vol. 307Study on microstructures of electrodes in lithium-ion batteries using variational multi-scale enrichmentSangmin Lee, Ann Marie Sastry and Jonghyun Park1 May 2016 | Journal of Power Sources, Vol. 315A new stabilized finite element method for advection-diffusion-reaction equationsHuoyuan Duan and Fengjuan Qiu23 October 2015 | Numerical Methods for Partial Differential Equations, Vol. 32, No. 2Nodally integrated implicit gradient reproducing kernel particle method for convection dominated problemsMichael Hillman and Jiun-Shyan Chen1 Feb 2016 | Computer Methods in Applied Mechanics and Engineering, Vol. 299A High-order Discontinuous Galerkin Method for Unsteady Flow ProblemsRaunak Borker, Charbel Farhat and Radek Tezaur2 January 2016Foundations of the MHM MethodChristopher Harder and Frédéric Valentin4 October 2016The Time-Dependent Navier–Stokes Equations: Turbulent FlowsVolker John28 October 2016Two-grid variational multiscale method with bubble stabilization for convection diffusion equationZhifeng Weng, Jerry Zhijian Yang and Xiliang Lu1 Jan 2016 | Applied Mathematical Modelling, Vol. 40, No. 2An accurate FIC-FEM formulation for the 1D advection–diffusion–reaction equationE. Oñate, J. Miquel and P. Nadukandi1 Jan 2016 | Computer Methods in Applied Mechanics and Engineering, Vol. 298A Finite Element Method for Solving the Boundary Value Problem of the Steady Convection-Diffusion Equation俊 邱1 Jan 2016 | Advances in Applied Mathematics, Vol. 05, No. 01Finite difference approximations of multidimensional convection–diffusion–reaction problems with small diffusion on a special gridAdem Kaya and Ali Sendur1 Nov 2015 | Journal of Computational Physics, Vol. 300Variational multiscale a posteriori error estimation for systems. Application to linear elasticityGuillermo Hauke and Diego Irisarri1 Mar 2015 | Computer Methods in Applied Mechanics and Engineering, Vol. 285Variational multiscale a posteriori error estimation for systems: The Euler and Navier–Stokes equationsGuillermo Hauke, Daniel Fuster and Fernando Lizarraga1 Jan 2015 | Computer Methods in Applied Mechanics and Engineering, Vol. 283An adaptively weighted Galerkin finite element method for boundary value problemsYifei Sun and Chad Westphal27 March 2015 | Communications in Applied Mathematics and Computational Science, Vol. 10, No. 1Numerical HomogenizationAssyr Abdulle21 November 2015On the convergence of Variational multiscale methods based on Newton's iteration for the incompressible flowsFeng Shi, Haibiao Zheng, Jiaping Yu and Ying Li1 Dec 2014 | Applied Mathematical Modelling, Vol. 38, No. 23Reduced-order modelling numerical homogenizationA. Abdulle and Y. Bai6 August 2014 | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, No. 2021Applications of the pseudo residual-free bubbles to the stabilization of the convection–diffusion–reaction problems in 2DA. Sendur, A. Nesliturk and A. Kaya1 Aug 2014 | Computer Methods in Applied Mechanics and Engineering, Vol. 277A finite difference scheme for multidimensional convection–diffusion–reaction equationsA. Kaya1 Aug 2014 | Computer Methods in Applied Mechanics and Engineering, Vol. 278Analysis of the small viscosity and large reaction coefficient in the computation of the generalized Stokes problem by a novel stabilized finite element methodHuo-Yuan Duan, Po-Wen Hsieh, Roger C.E. Tan and Suh-Yuh Yang1 Apr 2014 | Computer Methods in Applied Mechanics and Engineering, Vol. 271Bubble and multiscale stabilization of bilinear finite element methods for transient advection–diffusion equations on rectangular gridsOnur Baysal1 Mar 2014 | Journal of Computational and Applied Mathematics, Vol. 259On the natural stabilization of convection dominated problems using high order Bubnov–Galerkin finite elementsQ. Cai, S. Kollmannsberger, E. Sala-Lardies, A. Huerta and E. Rank1 Jan 2014 | Computers & Mathematics with Applications, Vol. 66, No. 12A two-level variational multiscale method for incompressible flows based on two local Gauss integrationsYing Li, Liquan Mei, Yueqiu Li and Ke Zhao18 May 2013 | Numerical Methods for Partial Differential Equations, Vol. 29, No. 6A high-order discontinuous Galerkin method with Lagrange multipliers for advection–diffusion problemsS. Brogniez, C. Farhat and E. Hachem1 Sep 2013 | Computer Methods in Applied Mechanics and Engineering, Vol. 264A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficientsChristopher Harder, Diego Paredes and Frédéric Valentin1 Jul 2013 | Journal of Computational Physics, Vol. 245Multidomain Finite Element ComputationsThierry Coupez, Hugues Digonnet, Elie Hachem, Patrice Laure and Luisa Silva et al.7 March 2013Modeling of heat transfer and turbulent flows inside industrial furnacesE. Hachem, G. Jannoun, J. Veysset, M. Henri and R. Pierrot et al.1 Jan 2013 | Simulation Modelling Practice and Theory, Vol. 30Robust Numerical Methods for Singularly Perturbed Differential Equations: A Survey Covering 2008–2012Hans-Görg Roos6 Dec 2012 | ISRN Applied Mathematics, Vol. 2012A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrationsHaibiao Zheng, Jiaping Yu, Kaitai Li and Feng Shi1 Dec 2012 | Applied Mathematics and Computation, Vol. 219, No. 8A stabilized finite element method for convection-diffusion problemsA. Serghini Mounim30 November 2011 | Numerical Methods for Partial Differential Equations, Vol. 28, No. 6Analysis of a new stabilized finite element method for the reaction–convection–diffusion equations with a large reaction coefficientHuo-Yuan Duan, Po-Wen Hsieh, Roger C.E. Tan and Suh-Yuh Yang1 Nov 2012 | Computer Methods in Applied Mechanics and Engineering, Vol. 247-248A finite element variational multiscale method for incompressible flows based on the construction of the projection basis functionsJiaping Yu, Haibiao Zheng and Feng Shi12 December 2011 | International Journal for Numerical Methods in Fluids, Vol. 70, No. 6Numerical multiscale methodsA.L.G.A. Coutinho, L.P. Franca and F. Valentin22 November 2011 | International Journal for Numerical Methods in Fluids, Vol. 70, No. 4A mass-conservative characteristic FE scheme for optimal control problems governed by convection–diffusion equationsHongfei Fu and Hongxing Rui1 Oct 2012 | Computer Methods in Applied Mechanics and Engineering, Vol. 241-244A new numerical strategy for the resolution of high-Péclet advection–diffusion problemsH. Riou and P. Ladevèze1 Oct 2012 | Computer Methods in Applied Mechanics and Engineering, Vol. 241-244Robust hierarchical a posteriori error estimators for stabilized convection-diffusion problemsB. Achchab, A. Agouzal, M. El Fatini and A. Souissi1 February 2012 | Numerical Methods for Partial Differential Equations, Vol. 28, No. 5Weak boundary conditions for wave propagation problems in confined domains: Formulation and implementation using a variational multiscale methodG. Scovazzi and B. Carnes1 May 2012 | Computer Methods in Applied Mechanics and Engineering, Vol. 221-222A class of discontinuous Petrov–Galerkin methods. Part III: AdaptivityLeszek Demkowicz, Jay Gopalakrishnan and Antti H. Niemi1 Apr 2012 | Applied Numerical Mathematics, Vol. 62, No. 4Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion-reaction problemsAli Sendur and Ali I. Nesliturk8 April 2011 | Calcolo, Vol. 49, No. 1A high-resolution Petrov–Galerkin method for the convection–diffusion–reaction problem. Part II—A multidimensional extensionPrashanth Nadukandi, Eugenio Oñate and Julio García1 Mar 2012 | Computer Methods in Applied Mechanics and Engineering, Vol. 213-216Analysis of multiscale finite element method for the stationary Navier–Stokes equationsZhihao Ge and Jingjing Yan1 Feb 2012 | Nonlinear Analysis: Real World Applications, Vol. 13, No. 1Stabilized finite element solution to handle complex heat and fluid flows in industrial furnaces using the immersed volume methodE. Hachem, T. Kloczko, H. Digonnet and T. Coupez3 December 2010 | International Journal for Numerical Methods in Fluids, Vol. 68, No. 1Robust a posteriori error estimates for subgrid stabilization of non-stationary convection dominated diffusive transportB. Achchab, A. Benjouad, M. El Fatini, A. Souissi and G. Warnecke1 Jan 2012 | Applied Mathematics and Computation, Vol. 218, No. 9Numerical multiscale methods for a reaction-dominated modelHonório Fernando, Christopher Harder, Diego Paredes and Frédéric Valentin1 Jan 2012 | Computer Methods in Applied Mechanics and Engineering, Vol. 201-204A local projection type stabilization with exponential enrichments applied to one-dimensional advection–diffusion equationsDominique Juhnke and Lutz Tobiska1 Jan 2012 | Computer Methods in Applied Mechanics and Engineering, Vol. 201-204A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet numberI. Kalashnikova, R. Tezaur and C. Farhat17 December 2010 | International Journal for Numerical Methods in Engineering, Vol. 87, No. 1-5A Tailored Finite Point Method for Solving Steady MHD Duct Flow Problems with Boundary LayersPo-Wen Hsieh, Yintzer Shih and Suh-Yuh Yang20 August 2015 | Communications in Computational Physics, Vol. 10, No. 1Simulating transient phenomena via residual free bubblesA.L.G.A. Coutinho, L.P. Franca and F. Valentin1 Jun 2011 | Computer Methods in Applied Mechanics and Engineering, Vol. 200, No. 25-28Convected level set method for the numerical simulation of fluid bucklingLaurence Ville, Luisa Silva and Thierry Coupez25 April 2011 | International Journal for Numerical Methods in Fluids, Vol. 66, No. 3The Capriciousness of Numerical Methods for Singular PerturbationsSebastian Franz and Hans-Görg Roos1 Jan 2011 | SIAM Review, Vol. 53, No. 1Two new upwind difference schemes for a coupled system of convection–diffusion equations arising from the steady MHD duct flow problemsPo-Wen Hsieh and Suh-Yuh Yang1 Dec 2010 | Journal of Computational Physics, Vol. 229, No. 24A variational multiscale method based on bubble functions for convection-dominated convection–diffusion equationLina Song, Yanren Hou and Haibiao Zheng1 Nov 2010 | Applied Mathematics and Computation, Vol. 217, No. 5Stabilized finite element method for incompressible flows with high Reynolds numberE. Hachem, B. Rivaux, T. Kloczko, H. Digonnet and T. Coupez1 Nov 2010 | Journal of Computational Physics, Vol. 229, No. 23Analysis of the cell boundary element methods for convection dominated convection–diffusion equationsYoungmok Jeon1 Aug 2010 | Journal of Computational and Applied Mathematics, Vol. 234, No. 8Stabilization by Local Projection for Convection–Diffusion and Incompressible Flow ProblemsSashikumaar Ganesan and Lutz Tobiska18 December 2008 | Journal of Scientific Computing, Vol. 43, No. 3On the choice of stabilizing sub-grid for convection–diffusion problem on rectangular gridsA.I. Nesliturk1 Jun 2010 | Computers & Mathematics with Applications, Vol. 59, No. 12A residual local projection method for the Oseen equationGabriel R. Barrenechea and Frédéric Valentin1 Jun 2010 | Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 29-32On the stabilization parameter in the subgrid scale approximation of scalar convection–diffusion–reaction equations on distorted meshesJavier Principe and Ramon Codina1 Apr 2010 | Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 21-22A higher-order discontinuous enrichment method for the solution of high péclet advection-diffusion problems on unstructured meshesC. Farhat, I. Kalashnikova and R. Tezaur29 July 2009 | International Journal for Numerical Methods in Engineering, Vol. 81, No. 5A high-resolution Petrov–Galerkin method for the 1D convection–diffusion–reaction problemPrashanth Nadukandi, Eugenio Oñate and Julio Garcia1 Jan 2010 | Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 9-12Mesh Refinement For Stabilized Convection Diffusion EquationsB. Achchab, M. El Fatini and A. Souissi26 August 2010 | Mathematical Modelling of Natural Phenomena, Vol. 5, No. 7A Novel Least-Squares Finite Element Method Enriched with Residual-Free Bubbles for Solving Convection-Dominated ProblemsPo-Wen Hsieh and Suh-Yuh Yang1 Jan 2010 | SIAM Journal on Scientific Computing, Vol. 32, No. 4Consistent Local Projection Stabilized Finite Element MethodsGabriel R. Barrenechea and Frédéric Valentin1 Jan 2010 | SIAM Journal on Numerical Analysis, Vol. 48, No. 5A Posteriori Error Estimation for Computational Fluid Dynamics: The Variational Multiscale ApproachGuillermo Hauke, Mohamed H. Doweidar and Daniel Fuster1 September 2011Enforcement of constraints and maximum principles in the variational multiscale methodJohn A. Evans, Thomas J.R. Hughes and Giancarlo Sangalli1 Dec 2009 | Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 1-4On efficient least-squares finite element methods for convection-dominated problemsPo-Wen Hsieh and Suh-Yuh Yang1 Dec 2009 | Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 1-4A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbersPo-Wen Hsieh and Suh-Yuh Yang1 Dec 2009 | Journal of Computational Physics, Vol. 228, No. 22A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion EquationsNingning Yan and Zhaojie Zhou15 May 2009 | Journal of Scientific Computing, Vol. 41, No. 2Grad–div stabilization and subgrid pressure models for the incompressible Navier–Stokes equationsMaxim Olshanskii, Gert Lube, Timo Heister and Johannes Löwe1 Nov 2009 | Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 49-52A posteriori error estimates for subgrid viscosity stabilized approximations of convection–diffusion equationsB. Achchab, M. El Fatini, A. Ern and A. Souissi1 Sep 2009 | Applied Mathematics Letters, Vol. 22, No. 9Stabilization arising from PGEM: A review and further developmentsRodolfo Araya, Gabriel R. Barrenechea, Leopoldo P. Franca and Frédéric Valentin1 Sep 2009 | Applied Numerical Mathematics, Vol. 59, No. 9Hierarchical modeling of the heat equation in a heterogeneous plateAna Carolina Carius and Alexandre L. Madureira1 Sep 2009 | Applied Numerical Mathematics, Vol. 59, No. 9A finite element variational multiscale method for incompressible flows based on two local gauss integrationsHaibiao Zheng, Yanren Hou, Feng Shi and Lina Song1 Sep 2009 | Journal of Computational Physics, Vol. 228, No. 16Stabilized multiscale finite element method for the stationary Navier–Stokes equationsZhihao Ge, Minfu Feng and Yinnian He1 Jun 2009 | Journal of Mathematical Analysis and Applications, Vol. 354, No. 2Bubble stabilization of discontinuous Galerkin methodsPaola F. Antonietti, Franco Brezzi and L. Donatella Marini1 May 2009 | Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 21-26A discontinuous enrichment method for the finite element solution of high Péclet advection–diffusion problemsIrina Kalashnikova, Charbel Farhat and Radek Tezaur1 Mar 2009 | Finite Elements in Analysis and Design, Vol. 45, No. 4Variational Multiscale A Posteriori Error Estimation for Quantities of InterestGuillermo Hauke and Daniel Fuster13 January 2009 | Journal of Applied Mechanics, Vol. 76, No. 2A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equationNingning Yan and Zhaojie Zhou1 Jan 2009 | Journal of Computational and Applied Mathematics, Vol. 223, No. 1On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection–diffusion equationsLutz Tobiska1 Jan 2009 | Computer Methods in Applied Mechanics and Engineering, Vol. 198, No. 5-8Advanced parallel computing in material forming with CIMLibYoussef Mesri, Hugues Digonnet and Thierry Coupez15 May 2012 | European Journal of Computational Mechanics, Vol. 18, No. 7-8Adaptive mesh for algebraic orthogonal subscale stabilization of convective dispersive transportBoujemaâ Achchab, Mohamed El Fatini, Alexandre Ern and A. Souissi1 Nov 2008 | Comptes Rendus Mathematique, Vol. 346, No. 21-22Two-level finite element method with a stabilizing subgrid for the incompressible Navier-Stokes equationsA. I. Nesliturk, S. H. Aydın and M. Tezer-Sezgin20 Oct 2008 | International Journal for Numerical Methods in Fluids, Vol. 58, No. 5A posteriori error estimates of constrained optimal control problem governed by convection diffusion equationsNingning Yan and Zhaojie Zhou9 July 2008 | Frontiers of Mathematics in China, Vol. 3, No. 3A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier–Stokes equationsZhihao Ge, Minfu Feng and Yinnian He1 Aug 2008 | Applied Mathematics and Computation, Vol. 202, No. 2Residual-free bubbles for embedded Dirichlet problemsJ.E. Dolbow and L.P. Franca1 Aug 2008 | Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 45-48Bubble stabilization of linear finite element methods for nonlinear evolutionary convection–diffusion equationsJavier de Frutos and Julia Novo1 Aug 2008 | Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 45-48Variational multiscale a-posteriori error estimation for multi-dimensional transport problemsGuillermo Hauke, Daniel Fuster and Mohamed H. Doweidar1 Jun 2008 | Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 33-40Stability and accuracy of adapted finite element methods for singularly perturbed problemsLong Chen and Jinchao Xu9 February 2008 | Numerische Mathematik, Vol. 109, No. 2A conformal Petrov–Galerkin method for convection-dominated problemsB. Delsaute and F. Dupret1 January 2008 | International Journal for Numerical Methods in Fluids, Vol. 56, No. 8The control volume formulation to model the convective–diffusive unsteady heat transfer over the 1-D semi-infinite domainN.J. Rodriguez, K. Davey and J.L.S. Gaytan1 Sep 2007 | Computer Methods in Applied Mechanics and Engineering, Vol. 196, No. 41-44Interior penalty variational multiscale method for the incompressible Navier–Stokes equation: Monitoring artificial dissipationErik Burman1 Sep 2007 | Computer Methods in Applied Mechanics and Engineering, Vol. 196, No. 41-44A nonlinear subgrid method for advection–diffusion problemsIsaac P. Santos and Regina C. Almeida1 Sep 2007 | Computer Methods in Applied Mechanics and Engineering, Vol. 196, No. 45-48Coupling stabilized finite element methods with finite difference time integration for advection–diffusion–reaction problemsM.I. Asensio, B. Ayuso and G. Sangalli1 Jul 2007 | Computer Methods in Applied Mechanics and Engineering, Vol. 196, No. 35-36Bubble-based stabilization for the Helmholtz equationIsaac Harari and Kirill Gosteev1 January 2007 | International Journal for Numerical Methods in Engineering, Vol. 70, No. 10Numerical methods for modelling leaching of pollutants in soilsM.I. Asensio, B. Ayuso, L. Ferragut and G. Sangalli1 Jun 2007 | Advances in Engineering Software, Vol. 38, No. 6A Petrov–Galerkin enriched method: A mass conservative finite element method for the Darcy equationGabriel R. Barrenechea, Leopoldo P. Franca and Frédéric Valentin1 Apr 2007 | Computer Methods in Applied Mechanics and Engineering, Vol. 196, No. 21-24On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part I – A reviewVolker John and Petr Knobloch1 Mar 2007 | Computer Methods in Applied Mechanics and Engineering, Vol. 196, No. 17-20COMBINING ADJOINT STABILIZED METHODS FOR THE ADVECTION-DIFFUSION-REACTION PROBLEMGUILLERMO HAUKE, GIANCARLO SANGALLI, and MOHAMED H. DOWEIDAR21 November 2011 | Mathematical Models and Metho
Referência(s)