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Статті в журналах з теми "Reaction-convection-diffusion equations"
El-Wakil, S. A., A. Elhanbaly, and M. A. Abdou. "On the Diffusion-Convection-Reaction Equations." Physica Scripta 60, no. 3 (September 1, 1999): 207–10. http://dx.doi.org/10.1238/physica.regular.060a00207.
Повний текст джерелаde Pablo, Arturo, and Ariel Sánchez. "Global Travelling Waves in Reaction–Convection–Diffusion Equations." Journal of Differential Equations 165, no. 2 (August 2000): 377–413. http://dx.doi.org/10.1006/jdeq.2000.3781.
Повний текст джерелаIliescu, Traian, and Zhu Wang. "Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion-reaction equations." Mathematics of Computation 82, no. 283 (March 18, 2013): 1357–78. http://dx.doi.org/10.1090/s0025-5718-2013-02683-x.
Повний текст джерелаGiere, Swetlana, Traian Iliescu, Volker John, and David Wells. "SUPG reduced order models for convection-dominated convection–diffusion–reaction equations." Computer Methods in Applied Mechanics and Engineering 289 (June 2015): 454–74. http://dx.doi.org/10.1016/j.cma.2015.01.020.
Повний текст джерелаChoudhury, A. H. "Wavelet Method for Numerical Solution of Parabolic Equations." Journal of Computational Engineering 2014 (February 27, 2014): 1–12. http://dx.doi.org/10.1155/2014/346731.
Повний текст джерелаPhongthanapanich, Sutthisak, and Pramote Dechaumphai. "A CHARACTERISTIC-BASED FINITE VOLUME ELEMENT METHOD FOR CONVECTION-DIFFUSION-REACTION EQUATION." Transactions of the Canadian Society for Mechanical Engineering 32, no. 3-4 (September 2008): 549–60. http://dx.doi.org/10.1139/tcsme-2008-0037.
Повний текст джерелаLu, Yunguang, and Willi Jäger. "On Solutions to Nonlinear Reaction–Diffusion–Convection Equations with Degenerate Diffusion." Journal of Differential Equations 170, no. 1 (February 2001): 1–21. http://dx.doi.org/10.1006/jdeq.2000.3800.
Повний текст джерелаEi, Shin-Ichiro. "The effect of nonlocal convection on reaction-diffusion equations." Hiroshima Mathematical Journal 17, no. 2 (1987): 281–307. http://dx.doi.org/10.32917/hmj/1206130067.
Повний текст джерелаGeiser, Jürgen, Jose L. Hueso, and Eulalia Martínez. "Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations." Mathematics 8, no. 3 (February 25, 2020): 302. http://dx.doi.org/10.3390/math8030302.
Повний текст джерелаSarrico, C. O. R. "New singular travelling waves for convection–diffusion–reaction equations." Journal of Physics A: Mathematical and Theoretical 53, no. 15 (March 26, 2020): 155202. http://dx.doi.org/10.1088/1751-8121/ab7c1d.
Повний текст джерелаДисертації з теми "Reaction-convection-diffusion equations"
Sun, Xiaodi. "Metastable dynamics of convection-diffusion-reaction equations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0002/NQ34630.pdf.
Повний текст джерелаSeymen, Zahire. "Solving Optimal Control Time-dependent Diffusion-convection-reaction Equations By Space Time Discretizations." Phd thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615399/index.pdf.
Повний текст джерелаHernandez, Velazquez Hector Alonso. "Numerical stabilization for multidimensional coupled convection-diffusion-reaction equations: Applications to continuum dislocation transport." Doctoral thesis, Universite Libre de Bruxelles, 2017. https://dipot.ulb.ac.be/dspace/bitstream/2013/257833/6/contratHH.pdf.
Повний текст джерелаDoctorat en Sciences de l'ingénieur et technologie
info:eu-repo/semantics/nonPublished
Ahmed, Naveed, and Gunar Matthies. "Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations." Cambridge University Press, 2015. https://tud.qucosa.de/id/qucosa%3A39044.
Повний текст джерелаMbroh, Nana Adjoah. "On the method of lines for singularly perturbed partial differential equations." University of the Western Cape, 2017. http://hdl.handle.net/11394/5679.
Повний текст джерелаMany chemical and physical problems are mathematically described by partial differential equations (PDEs). These PDEs are often highly nonlinear and therefore have no closed form solutions. Thus, it is necessary to recourse to numerical approaches to determine suitable approximations to the solution of such equations. For solutions possessing sharp spatial transitions (such as boundary or interior layers), standard numerical methods have shown limitations as they fail to capture large gradients. The method of lines (MOL) is one of the numerical methods used to solve PDEs. It proceeds by the discretization of all but one dimension leading to systems of ordinary di erential equations. In the case of time-dependent PDEs, the MOL consists of discretizing the spatial derivatives only leaving the time variable continuous. The process results in a system to which a numerical method for initial value problems can be applied. In this project we consider various types of singularly perturbed time-dependent PDEs. For each type, using the MOL, the spatial dimensions will be discretized in many different ways following fitted numerical approaches. Each discretisation will be analysed for stability and convergence. Extensive experiments will be conducted to confirm the analyses.
Ahmed, Naveed [Verfasser], and Lutz [Akademischer Betreuer] Tobiska. "Stabilized finite element methods applied to transient convection-diffusion-reaction and population balance equations / Naveed Ahmed. Betreuer: Lutz Tobiska." Magdeburg : Universitätsbibliothek, 2011. http://d-nb.info/1047559021/34.
Повний текст джерелаSimon, Kristin [Verfasser]. "Higher order stabilized surface finite element methods for diffusion-convection-reaction equations on surfaces with and without boundary / Kristin Simon." Magdeburg : Universitätsbibliothek, 2017. http://d-nb.info/1147834520/34.
Повний текст джерелаLao, Kun Leng. "Multigrid algorithm based on cyclic reduction for convection diffusion equations." Thesis, University of Macau, 2010. http://umaclib3.umac.mo/record=b2148274.
Повний текст джерелаNadukandi, Prashanth. "Stabilized finite element methods for convection-diffusion-reaction, helmholtz and stokes problems." Doctoral thesis, Universitat Politècnica de Catalunya, 2011. http://hdl.handle.net/10803/109155.
Повний текст джерелаPresentamos tres nuevos metodos estabilizados de tipo Petrov- Galerkin basado en elementos finitos (FE) para los problemas de convecci6n-difusi6n- reacci6n (CDR), de Helmholtz y de Stokes, respectivamente. El trabajo comienza con un analisis a priori de un metodo de recuperaci6n de la consistencia de algunos metodos de estabilizaci6n que pertenecen al marco de Petrov-Galerkin. Hallamos que el uso de algunas de las practicas estandar (por ejemplo, la eoria de Matriz-M) para el diserio de metodos numericos esencialmente no oscilatorios no es apropiado cuando utilizamos los metodos de recu eraci6n de la consistencia. Por 10 tanto, con res ecto a la estabilizaci6n de conveccion, no preferimos tales metodos de recuperacion . A continuacion, presentamos el diser'io de un metodo de Petrov-Galerkin de alta-resolucion (HRPG) para el problema CDR. La estructura del metodo en 10 es identico al metodo CAU [doi: 10.1016/0045-7825(88)90108-9] excepto en la definicion de los parametros de estabilizacion. Esta estructura tambien se puede obtener a traves de la formulacion del calculo finito (FIC) [doi: 10.1 016/S0045- 7825(97)00119-9] usando una definicion adecuada de la longitud caracteristica. El prefijo de "alta-resolucion" se utiliza aqui en el sentido popularizado por Harten, es decir, tener una solucion con una precision de segundo orden en los regimenes suaves y ser esencialmente no oscilatoria en los regimenes no regulares. El diser'io en 10 se embarca en el problema de eludir el fenomeno de Gibbs observado en las proyecciones de tipo L2. A continuacion, estudiamos las condiciones de los parametros de estabilizacion para evitar las oscilaciones globales debido al ermino convectivo. Combinamos los dos resultados (una conjetura) para tratar el problema COR, cuya solucion numerica sufre de oscilaciones numericas del tipo global, Gibbs y dispersiva. Tambien presentamos una extension multidimensional del metodo HRPG utilizando los elementos finitos multi-lineales. fa. continuacion, proponemos un esquema compacto de orden superior (que incluye dos parametros) en mallas estructuradas para la ecuacion de Helmholtz. Haciendo igual ambos parametros, se recupera la interpolacion lineal del metodo de elementos finitos (FEM) de tipo Galerkin y el clasico metodo de diferencias finitas centradas. En 10 este esquema es identico al metodo AIM [doi: 10.1 016/0771 -050X(82)90002-X] y en 20 eligiendo el valor de 0,5 para ambos parametros, se recupera el esquema compacto de cuarto orden de Pade generalizada en [doi: 10.1 006/jcph.1 995.1134, doi: 10.1 016/S0045-7825(98)00023-1] (con el parametro V = 2). Seguimos [doi: 10.1 016/0045-7825(95)00890-X] para el analisis de este esquema y comparamos su rendimiento en las mallas uniformes con el de "FEM cuasi-estabilizado" (QSFEM) [doi: 10.1016/0045-7825 (95) 00890-X]. Presentamos expresiones genericas de los para metros que garantiza una precision dispersiva de sexto orden si ambos parametros son distintos y de cuarto orden en caso de ser iguales. En este ultimo caso, presentamos la expresion del parametro que minimiza el error maxima de fase relativa en 20. Tambien proponemos una formulacion de tipo Petrov-Galerkin ~ue recupera los esquemas antes mencionados en mallas estructuradas. Presentamos estudios de convergencia del error en la norma de tipo L2, la semi-norma de tipo H1 y la norma Euclidiana tipo I~ y mostramos que la perdida de estabilidad del operador de Helmholtz ("pollution effect") es incluso pequer'ia para grandes numeros de onda. Por ultimo, presentamos una coleccion de metodos FE estabilizado para el problema de Stokes desarrollados a raves del metodo FIC de primer orden y de segundo orden. Mostramos que varios metodos FE de estabilizacion existentes y conocidos como el metodo de penalizacion, el metodo de Galerkin de minimos cuadrados (GLS) [doi: 10.1016/0045-7825(86)90025-3], el metodo PGP (estabilizado a traves de la proyeccion del gradiente de presion) [doi: 10.1 016/S0045-7825(96)01154-1] Y el metodo OSS (estabilizado a traves de las sub-escalas ortogonales) [doi: 10.1016/S0045-7825(00)00254-1] se recuperan del marco general de FIC. Oesarrollamos una nueva familia de metodos FE, en adelante denominado como PLS (estabilizado a traves del Laplaciano de presion) con las formas no lineales y consistentes de los parametros de estabilizacion. Una caracteristica distintiva de la familia de los metodos PLS es que son no lineales y basados en el residuo, es decir, los terminos de estabilizacion dependera de los residuos discretos del momento y/o las ecuaciones de incompresibilidad. Oiscutimos las ventajas y desventajas de estas tecnicas de estabilizaci6n y presentamos varios ejemplos de aplicacion
Galbally, David. "Nonlinear model reduction for uncertainty quantification in large-scale inverse problems : application to nonlinear convection-diffusion-reaction equation." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/43079.
Повний текст джерелаIncludes bibliographical references (p. 147-152).
There are multiple instances in science and engineering where quantities of interest are evaluated by solving one or several nonlinear partial differential equations (PDEs) that are parametrized in terms of a set of inputs. Even though well-established numerical techniques exist for solving these problems, their computational cost often precludes their use in cases where the outputs of interest must be evaluated repeatedly for different values of the input parameters such as probabilistic analysis applications. In this thesis we present a model reduction methodology that combines efficient representation of the nonlinearities in the governing PDE with an efficient model-constrained, greedy algorithm for sampling the input parameter space. The nonlinearities in the PDE are represented using a coefficient-function approximation that enables the development of an efficient offline-online computational procedure where the online computational cost is independent of the size of the original high-fidelity model. The input space sampling algorithm used for generating the reduced space basis adaptively improves the quality of the reduced order approximation by solving a PDE-constrained continuous optimization problem that targets the output error between the reduced and full order models in order to determine the optimal sampling point at every greedy cycle. The resulting model reduction methodology is applied to a highly nonlinear combustion problem governed by a convection-diffusion-reaction PDE with up to 3 input parameters. The reduced basis approximation developed for this problem is up to 50, 000 times faster to solve than the original high-fidelity finite element model with an average relative error in prediction of outputs of interest of 2.5 - 10-6 over the input parameter space. The reduced order model developed in this thesis is used in a novel probabilistic methodology for solving inverse problems.
(cont) The extreme computational cost of the Bayesian framework approach for inferring the values of the inputs that generated a given set of empirically measured outputs often precludes its use in practical applications. In this thesis we show that using a reduced order model for running the Markov
by David Galbally.
S.M.
Книги з теми "Reaction-convection-diffusion equations"
Gilding, Brian H. Travelling Waves in Nonlinear Diffusion-Convection Reaction. Basel: Birkhäuser Basel, 2004.
Знайти повний текст джерелаH, Carpenter Mark, and Langley Research Center, eds. Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2001.
Знайти повний текст джерелаH, Carpenter Mark, and Langley Research Center, eds. Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2001.
Знайти повний текст джерелаH, Carpenter Mark, and Langley Research Center, eds. Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2001.
Знайти повний текст джерелаC, Sorensen D., and Institute for Computer Applications in Science and Engineering., eds. An asymptotic induced numerical method for the convection-diffusion-reaction equation. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1988.
Знайти повний текст джерелаLayer-adapted meshes for reaction-convection-diffusion problems. Heidelberg: Springer, 2010.
Знайти повний текст джерелаElementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation. Heidelberg: Springer, 2010.
Знайти повний текст джерелаLiu, Weijiu. Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-04613-1.
Повний текст джерелаCodina, R. Comparison of some finite element methods for solving the diffusion-convection-reaction equation. Barcelona, Spain: International Center for Numerical Methods in Engineering, 1996.
Знайти повний текст джерелаA, Monaco Lisa, and United States. National Aeronautics and Space Administration., eds. Convective flow effects on protein crystal growth: First semi-annual progress report, NASA grant NAG8-950, period of performance 2/1/93 through 7/31/93. Huntsville, Ala: Center for Microgravity and Materials Research, University of Alabama in Huntsville, 1993.
Знайти повний текст джерелаЧастини книг з теми "Reaction-convection-diffusion equations"
Volpert, Vitaly. "Reaction-diffusion Problems with Convection." In Elliptic Partial Differential Equations, 391–451. Basel: Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0813-2_6.
Повний текст джерелаCherniha, Roman, Mykola Serov, and Oleksii Pliukhin. "Introduction." In Nonlinear Reaction-Diffusion-Convection Equations, 1–17. Boca Raton, Florida : CRC Press, [2018]: Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315154848-1.
Повний текст джерелаCherniha, Roman, Mykola Serov, and Oleksii Pliukhin. "Lie symmetries of reaction‐diffusion‐convection equations." In Nonlinear Reaction-Diffusion-Convection Equations, 19–75. Boca Raton, Florida : CRC Press, [2018]: Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315154848-2.
Повний текст джерелаCherniha, Roman, Mykola Serov, and Oleksii Pliukhin. "Conditional symmetries of reaction-diffusion-convection equations." In Nonlinear Reaction-Diffusion-Convection Equations, 77–133. Boca Raton, Florida : CRC Press, [2018]: Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315154848-3.
Повний текст джерелаCherniha, Roman, Mykola Serov, and Oleksii Pliukhin. "Exact solutions of reaction-diffusion-convection equations and their applications." In Nonlinear Reaction-Diffusion-Convection Equations, 135–90. Boca Raton, Florida : CRC Press, [2018]: Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315154848-4.
Повний текст джерелаCherniha, Roman, Mykola Serov, and Oleksii Pliukhin. "The method of additional generating conditions for constructing exact solutions." In Nonlinear Reaction-Diffusion-Convection Equations, 191–218. Boca Raton, Florida : CRC Press, [2018]: Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315154848-5.
Повний текст джерелаHowes, F. A. "Multi-dimensional reaction-convection-diffusion equations." In Ordinary and Partial Differential Equations, 217–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074730.
Повний текст джерелаGilding, Brian H., and Robert Kersner. "Power-law equations." In Travelling Waves in Nonlinear Diffusion-Convection Reaction, 59–67. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4_7.
Повний текст джерелаGilding, Brian H., and Robert Kersner. "Wavefronts and unbounded waves for power-law equations." In Travelling Waves in Nonlinear Diffusion-Convection Reaction, 139–55. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4_12.
Повний текст джерелаBarrenechea, G. R., V. John, and P. Knobloch. "A Nonlinear Local Projection Stabilization for Convection-Diffusion-Reaction Equations." In Numerical Mathematics and Advanced Applications 2011, 237–45. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33134-3_26.
Повний текст джерелаТези доповідей конференцій з теми "Reaction-convection-diffusion equations"
Rocha, E. M., M. M. Rodrigues, Alberto Cabada, Eduardo Liz, and Juan J. Nieto. "Exact and Approximate Solutions of Reaction-Diffusion-Convection Equations." In MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine. AIP, 2009. http://dx.doi.org/10.1063/1.3142946.
Повний текст джерелаSchecter, Stephen, Dan Marchesin, Lucas Furtado, and Grigori Chapiro. "Stability of interacting traveling waves in reaction-convection-diffusion systems." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0258.
Повний текст джерелаGhosh, Anirban, Jung-Hee Seo, and Rajat Mittal. "Coupled Fluid-Chemical Computational Modeling of Anticoagulation Therapies in a Stented Artery." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52638.
Повний текст джерелаEdwards, Maegan, John P. Kizito, and Rodward L. Hewlin. "A Time-Dependent Two Species Explicit Finite Difference Computational Model for Analyzing Diffusion in a Drug Eluting Stented Coronary Artery Wall: a Phase I Study." In ASME 2022 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/imece2022-95803.
Повний текст джерелаKamel, John K., and Samuel Paolucci. "Numerical Simulation of a Chemical Vapor Deposition/Infiltration Reactor." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-16039.
Повний текст джерелаGherman, Bogdan, Florin Gabriel Florean, Cristian Cârlănescu, and Ionuţ Porumbel. "On the Influence of the Combustion Model on the Result of Turbulent Flames Numerical Simulations." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-69255.
Повний текст джерелаHuang, Wei, and Wilson K. S. Chiu. "Heat and Mass Transfer in a CVD Optical Fiber Coating Process." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56320.
Повний текст джерелаTourlomousis, Filippos, and Robert C. Chang. "Computational Modeling of 3D Printed Tissue-on-a-Chip Microfluidic Devices as Drug Screening Platforms." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-38454.
Повний текст джерелаBaier, Tobias, Swaty Mohanty, Klaus Stefan Drese, Federica Rampf, Jungtae Kim, and Friedhelm Scho¨nfeld. "Modelling Immunomagnetic Cell Capture in CFD." In ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2008. http://dx.doi.org/10.1115/icnmm2008-62176.
Повний текст джерелаSerra, Christophe, Nicolas Sary, and Guy Schlatter. "Numerical Simulations of Macromolecular Syntheses in Micro-Mixers: Towards a Better Control of the Polymerization." In ASME 3rd International Conference on Microchannels and Minichannels. ASMEDC, 2005. http://dx.doi.org/10.1115/icmm2005-75044.
Повний текст джерелаЗвіти організацій з теми "Reaction-convection-diffusion equations"
Manzini, Gianmarco, Andrea Cangiani, and Oliver Sutton. The Conforming Virtual Element Method for the convection-diffusion-reaction equation with variable coeffcients. Office of Scientific and Technical Information (OSTI), October 2014. http://dx.doi.org/10.2172/1159207.
Повний текст джерелаManzini, Gianmarco, Andrea Cangiani, and Oliver Sutton. Numerical results using the conforming VEM for the convection-diffusion-reaction equation with variable coefficients. Office of Scientific and Technical Information (OSTI), October 2014. http://dx.doi.org/10.2172/1159206.
Повний текст джерела