Relevant bibliographies by topics / Petrov-Galerkin

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
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Academic literature on the topic 'Petrov-Galerkin'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Petrov-Galerkin"

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Wang, Kai, Shen Jie Zhou, and Zhi Feng Nie. "Development of the Smoothed Natural Neighbor Petrov-Galerkin Method." Applied Mechanics and Materials 201-202 (October 2012): 198–201. http://dx.doi.org/10.4028/www.scientific.net/amm.201-202.198.

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The strain smoothing technique is employed in the natural neighbor Petrov-Galerkin method (NNPG), and the so-called smoothed natural neighbor Petrov-Galerkin method is proposed and studied. This method inherits the advantages of the generalized MLPG method and possesses the easy imposition of essential boundary condition and the domain integration is completely avoided. In comparison with the traditional NNPG, the smoothed natural neighbor Petrov-Galerkin method can obtained more stable and accurate result without increasing the computational cost.
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Chen, Zhongying, and Yuesheng Xu. "The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations." SIAM Journal on Numerical Analysis 35, no. 1 (February 1998): 406–34. http://dx.doi.org/10.1137/s0036142996297217.

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Heuer, Norbert, and Michael Karkulik. "Discontinuous Petrov–Galerkin boundary elements." Numerische Mathematik 135, no. 4 (July 29, 2016): 1011–43. http://dx.doi.org/10.1007/s00211-016-0824-z.

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Carstensen, C., P. Bringmann, F. Hellwig, and P. Wriggers. "Nonlinear discontinuous Petrov–Galerkin methods." Numerische Mathematik 139, no. 3 (March 6, 2018): 529–61. http://dx.doi.org/10.1007/s00211-018-0947-5.

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Donea, J. "Generalized Galerkin Methods for Convection Dominated Transport Phenomena." Applied Mechanics Reviews 44, no. 5 (May 1, 1991): 205–14. http://dx.doi.org/10.1115/1.3119502.

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A brief survey is made of recent advances in the development of finite element methods for convection dominated transport phenomena. Because of the nonsymmetric character of convection operators, the standard Galerkin formulation of the method of weighted residuals does not possess optimal approximation properties in application to problems in this class. As a result, numerical solutions are often corrupted by spurious node-to-node oscillations. For steady problems describing convection and diffusion, spurious oscillations can be precluded by the use of upwind-type finite element approximations that are constructed through a proper Petrov-Galerkin weighted residual formulation. Various upwind finite element formulations are reviewed in this paper, with a special emphasis on the major breakthroughs represented by the so-called streamline upwind Petrov-Galerkin and Galerkin least-squares methods. The second part of the paper is devoted to a review of time-accurate finite element methods recently developed for the solution of unsteady problems governed by first-order hyperbolic equations. This includes Petrov-Galerkin, Taylor-Galerkin, least-squares, and various characteristic Galerkin methods. The extension of these methods to deal with unsteady convection-diffusion problems is also considered.
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Liu, Xiaowei, and Jin Zhang. "Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG." Abstract and Applied Analysis 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/364675.

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We study a streamline upwind Petrov-Galerkin method (SUPG) with bubble stabilization coefficients on quasiuniform triangular meshes. The new algorithm is a consistent Petrov-Galerkin method and shows similar numerical performances as the standard SUPG when the mesh Péclet number is greater than 1. Relationship between the new algorithm and the standard SUPG will be explored. Numerical experiments support these results.
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Galanin, M., and E. Savenkov. "FEDORENKO FINITE SUPERELEMENT METHOD AS SPECIAL GALERKIN APPROXIMATION." Mathematical Modelling and Analysis 7, no. 1 (June 30, 2002): 41–50. http://dx.doi.org/10.3846/13926292.2002.9637176.

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In this work we introduce variational equation which natural Petrov‐Galerkin approximation leads to Fedorenko Finite Superelement Method (FSEM). FSEM is considered as Petrov‐Galerkin approximation of the certain problem for traces of boundary‐value problem solution at the boundaries of some subdomains (superelements). Iterative methods of solution of the same problem are well known domain decomposition methods. Some numerical results are presented.
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Morton, K. W. "The convection-diffusion Petrov-Galerkin story." IMA Journal of Numerical Analysis 30, no. 1 (June 23, 2009): 231–40. http://dx.doi.org/10.1093/imanum/drp002.

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Grigorieff, R. D., and I. H. Solan. "Spline petrov-galerkin methods with quadrature." Numerical Functional Analysis and Optimization 17, no. 7-8 (January 1996): 755–84. http://dx.doi.org/10.1080/01630569608816723.

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Bringmann, P., C. Carstensen, D. Gallistl, F. Hellwig, D. Peterseim, S. Puttkammer, H. Rabus, and J. Storn. "Towards adaptive discontinuous Petrov-Galerkin methods." PAMM 16, no. 1 (October 2016): 741–42. http://dx.doi.org/10.1002/pamm.201610359.

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Dissertations / Theses on the topic "Petrov-Galerkin"

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Dogan, Abdulkadir. "Petrov-Galerkin finite element methods." Thesis, Bangor University, 1997. https://research.bangor.ac.uk/portal/en/theses/petrovgalerkin-finite-element-methods(4d767fc7-4ad1-402a-9e6e-fd440b722406).html.

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Hellwig, Friederike. "Adaptive Discontinuous Petrov-Galerkin Finite-Element-Methods." Doctoral thesis, Humboldt-Universität zu Berlin, 2019. http://dx.doi.org/10.18452/20034.

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Die vorliegende Arbeit "Adaptive Discontinuous Petrov-Galerkin Finite-Element-Methods" beweist optimale Konvergenzraten für vier diskontinuierliche Petrov-Galerkin (dPG) Finite-Elemente-Methoden für das Poisson-Modell-Problem für genügend feine Anfangstriangulierung. Sie zeigt dazu die Äquivalenz dieser vier Methoden zu zwei anderen Klassen von Methoden, den reduzierten gemischten Methoden und den verallgemeinerten Least-Squares-Methoden. Die erste Klasse benutzt ein gemischtes System aus konformen Courant- und nichtkonformen Crouzeix-Raviart-Finite-Elemente-Funktionen. Die zweite Klasse verallgemeinert die Standard-Least-Squares-Methoden durch eine Mittelpunktsquadratur und Gewichtsfunktionen. Diese Arbeit verallgemeinert ein Resultat aus [Carstensen, Bringmann, Hellwig, Wriggers 2018], indem die vier dPG-Methoden simultan als Spezialfälle dieser zwei Klassen charakterisiert werden. Sie entwickelt alternative Fehlerschätzer für beide Methoden und beweist deren Zuverlässigkeit und Effizienz. Ein Hauptresultat der Arbeit ist der Beweis optimaler Konvergenzraten der adaptiven Methoden durch Beweis der Axiome aus [Carstensen, Feischl, Page, Praetorius 2014]. Daraus folgen dann insbesondere die optimalen Konvergenzraten der vier dPG-Methoden. Numerische Experimente bestätigen diese optimalen Konvergenzraten für beide Klassen von Methoden. Außerdem ergänzen sie die Theorie durch ausführliche Vergleiche beider Methoden untereinander und mit den äquivalenten dPG-Methoden.
The thesis "Adaptive Discontinuous Petrov-Galerkin Finite-Element-Methods" proves optimal convergence rates for four lowest-order discontinuous Petrov-Galerkin methods for the Poisson model problem for a sufficiently small initial mesh-size in two different ways by equivalences to two other non-standard classes of finite element methods, the reduced mixed and the weighted Least-Squares method. The first is a mixed system of equations with first-order conforming Courant and nonconforming Crouzeix-Raviart functions. The second is a generalized Least-Squares formulation with a midpoint quadrature rule and weight functions. The thesis generalizes a result on the primal discontinuous Petrov-Galerkin method from [Carstensen, Bringmann, Hellwig, Wriggers 2018] and characterizes all four discontinuous Petrov-Galerkin methods simultaneously as particular instances of these methods. It establishes alternative reliable and efficient error estimators for both methods. A main accomplishment of this thesis is the proof of optimal convergence rates of the adaptive schemes in the axiomatic framework [Carstensen, Feischl, Page, Praetorius 2014]. The optimal convergence rates of the four discontinuous Petrov-Galerkin methods then follow as special cases from this rate-optimality. Numerical experiments verify the optimal convergence rates of both types of methods for different choices of parameters. Moreover, they complement the theory by a thorough comparison of both methods among each other and with their equivalent discontinuous Petrov-Galerkin schemes.
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Herron, Madonna Geradine. "A novel approach to image derivative approximation using finite element methods." Thesis, University of Ulster, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.364539.

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Bonhaus, Daryl Lawrence. "A Higher Order Accurate Finite Element Method for Viscous Compressible Flows." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/29458.

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The Streamline Upwind/Petrov-Galerkin (SU/PG) method is applied to higher-order finite-element discretizations of the Euler equations in one dimension and the Navier-Stokes equations in two dimensions. The unknown flow quantities are discretized on meshes of triangular elements using triangular Bezier patches. The nonlinear residual equations are solved using an approximate Newton method with a pseudotime term. The resulting linear system is solved using the Generalized Minimum Residual algorithm with block diagonal preconditioning. The exact solutions of Ringleb flow and Couette flow are used to quantitatively establish the spatial convergence rate of each discretization. Examples of inviscid flows including subsonic flow past a parabolic bump on a wall and subsonic and transonic flows past a NACA 0012 airfoil and laminar flows including flow past a a flat plate and flow past a NACA 0012 airfoil are included to qualitatively evaluate the accuracy of the discretiza-tions. The scheme achieves higher order accuracy without modification. Based on the test cases presented, significant improvement of the solution can be expected using the higher-order schemes with little or no increase in computational requirements. The nonlinear sys-tem also converges at a higher rate as the order of accuracy is increased for the same num-ber of degrees of freedom; however, the linear system becomes more difficult to solve. Several avenues of future research based on the results of the study are identified, includ-ing improvement of the SU/PG formulation, development of more general grid generation strategies for higher order elements, the addition of a turbulence model to extend the method to high Reynolds number flows, and extension of the method to three-dimensional flows. An appendix is included in which the method is applied to inviscid flows in three dimensions. The three-dimensional results are preliminary but consistent with the findings based on the two-dimensional scheme.
Ph. D.
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Wu, Wei. "Petrov-Galerkin methods for parabolic convection-diffusion problems." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.670384.

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Sampaio, Paulo Angusto Berquo de. "Petrov-Galerkin finite element formulations for incompressible viscous flows." Thesis, Swansea University, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.638759.

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The basic difficulties associated with the numerical solution of the incompressible Navier-Stokes equations in primitive variables are identified and analysed. These difficulties, namely the lack of self-adjointness of the flow equations and the requirement of choosing compatible interpolations for velocity and pressure, are addressed with the development of consistent Petrov-Galerkin formulations. In particular, the solution of incompressible viscous flow problems using simple equal order interpolation for all variables becomes possible.
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Scotney, Bryan. "An analysis of the Petrov-Galerkin finite element method." Thesis, University of Reading, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.354097.

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Moro-Ludeña, David. "A Hybridized Discontinuous Petrov-Galerkin scheme for compressible flows." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/67189.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2011.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 113-117).
The Hybridized Discontinuous Petrov-Galerkin scheme (HDPG) for compressible flows is presented. The HDPG method stems from a combination of the Hybridized Discontinuous Galerkin (HDG) method and the theory of the optimal test functions, suitably modified to enforce the conservativity at the element level. The new scheme maintains the same number of globally coupled degrees of freedom as the HDG method while increasing the stability in the presence of discontinuities or under-resolved features. The new scheme has been successfully tested in several problems involving shocks such as Burgers equation and the Navier-Stokes equations and delivers solutions with reduced oscillation at the shock. When combined with artificial viscosity, the oscillation can be completely eliminated using one order of magnitude less viscosity than that required by other Finite Element methods. Also, convergence studies in the sequence of meshes proposed by Peterson [49] show that, unlike other DG methods, the HDPG method is capable of breaking the suboptimal k+1/2 rate of convergence for the convective problem and thus achieve optimal k+1 convergence.
by David Moro-Ludeña.
S.M.
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Sampaio, Paulo Augusto Berquó de, and Instituto de Engenharia Nuclear. "Petrov - galerkin finite element formulations for incompressible viscous flows." Instituto de Engenharia Nuclear, 1991. http://carpedien.ien.gov.br:8080/handle/ien/1954.

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Submitted by Marcele Costal de Castro (costalcastro@gmail.com) on 2017-10-04T17:13:38Z No. of bitstreams: 1 PAULO AUGUSTO BERQUÓ DE SAMPAIO D.pdf: 6576641 bytes, checksum: 71355f6eedcf668b2236d4c10f1a2551 (MD5)
Made available in DSpace on 2017-10-04T17:13:38Z (GMT). No. of bitstreams: 1 PAULO AUGUSTO BERQUÓ DE SAMPAIO D.pdf: 6576641 bytes, checksum: 71355f6eedcf668b2236d4c10f1a2551 (MD5) Previous issue date: 1991-09
The basic difficulties associated with the numerical solution of the incompressible Navier-Stokes equations in primitive variables are identified and analysed. These difficulties, namely the lack of self-adjointness of the flow equations and the requirement of choosing compatible interpolations for velocity and pressure, are addressed with the development of consistent Petrov-Galerkin formulations. In particular, the solution of incompressible viscous flow problems using simple equal order interpolation for all variables becomes possible .
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Gerber, George. "Unsteady pipe-flow using the Petrov-Galerkin finite element method." Thesis, Stellenbosch : Stellenbosch University, 2004. http://hdl.handle.net/10019.1/50214.

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Thesis (MScEng)--University of Stellenbosch, 2004.
ENGLISH ABSTRACT: Presented here is an Eulerian scheme for solving the unsteady pipe-flow equations. It is called the Characteristic Dissipative Petrov-Galerkin finite element algorithm. It is based on Hicks and Steffler's open-channel finite element algorithm [5]. The algorithm features a highly selective dissipative interface, which damps out spurious oscillations in the pressure field while leaving the rest of the field almost unaffected. The dissipative interface is obtained through upwinding of the test shape functions, which is controlled by the characteristic directions of the flow field at a node. The algorithm can be applied to variable grids, since the dissipative interface is locally controlled. The algorithm was applied to waterhammer problems, which included reservoir, deadend, valve and pump boundary conditions. Satisfactory results were obtained using a simple one-dimensional element with linear shape functions.
AFRIKAANSE OPSOMMING: 'n Euleriese skema word hier beskryf om die onbestendige pypvloei differensiaal vergelykings op te los. Dit word die Karakteristieke Dissiperende Petrov-Galerkin eindige element algoritme genoem. Die algoritme is gebaseer op Hicks en Steffler se oop-kanaal eindige element algoritme [5]. In hierdie algoritme word onrealistiese ossilasies in die drukveld selektief gedissipeer, sonder om die res van die veld te beinvloed. Die dissiperende koppelvlak word verkry deur stroomop weegfunksies, wat beheer word deur die karakteristieke rigtings in die vloeiveld, by 'n node. Die algoritme kan dus gebruik word op veranderbare roosters, omdat die dissiperende koppelvlak lokaal beheer word. Die algoritme was toegepas op waterslag probleme waarvan die grenskondisies reservoirs, entpunte, kleppe en pompe ingesluit het. Bevredigende resultate was verkry vir hierdie probleme, al was die geimplementeerde element een-dimensioneel met lineere vormfunksies.
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Books on the topic "Petrov-Galerkin"

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Atluri, Satya N. The Meshless Local Petrov-Galerkin (MLPG) Method (CREST, contemporary research on emerging sciences and technology). Tech Science Press, 2002.

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Book chapters on the topic "Petrov-Galerkin"

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Wieners, Christian. "Petrov-Galerkin Methods." In Encyclopedia of Applied and Computational Mathematics, 1149–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_482.

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Ern, Alexandre, and Jean-Luc Guermond. "Continuous Petrov–Galerkin in time." In Finite Elements III, 195–209. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57348-5_70.

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Dubois, François, Isabelle Greff, and Charles Pierre. "Raviart Thomas Petrov–Galerkin Finite Elements." In Springer Proceedings in Mathematics & Statistics, 341–49. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57397-7_27.

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Evgrafov, Anton. "Discontinuous Petrov-Galerkin Methods for Topology Optimization." In EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization, 260–71. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97773-7_24.

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Demkowicz, Leszek F., and Jay Gopalakrishnan. "An Overview of the Discontinuous Petrov Galerkin Method." In Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, 149–80. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01818-8_6.

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Dahle, Helge K., Magne S. Espedal, and Richard E. Ewing. "Characteristic Petrov-Galerkin Subdomain Methods for Convection-Diffusion Problems." In Numerical Simulation in Oil Recovery, 77–87. New York, NY: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4684-6352-1_5.

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Uhlig, Dana, and Roman Unger. "Nonparametric Copula Density Estimation Using a Petrov–Galerkin Projection." In Innovations in Quantitative Risk Management, 423–38. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-09114-3_25.

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Łoś, Marcin, Robert Schaefer, and Maciej Smołka. "Effective Solution of Ill-Posed Inverse Problems with Stabilized Forward Solver." In Computational Science – ICCS 2021, 343–57. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77964-1_27.

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AbstractWe consider inverse parametric problems for elliptic variational PDEs. They are solved through the minimization of misfit functionals. Main difficulties encountered consist in the misfit multimodality and insensitivity as well as in the weak conditioning of the direct (forward) problem, that therefore requires stabilization. A complex multi-population memetic strategy hp-HMS combined with the Petrov-Galerkin method stabilized by the Demkowicz operator is proposed to overcome obstacles mentioned above. This paper delivers the theoretical motivation for the common inverse/forward error scaling, that can reduce significantly the computational cost of the whole strategy. A short illustrative numerical example is attached at the end of the paper.
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Brown, Donald L., Dietmar Gallistl, and Daniel Peterseim. "Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations." In Meshfree Methods for Partial Differential Equations VIII, 85–115. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51954-8_6.

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Kerkhoven, T. "A Piecewise Linear Petrov-Galerkin Analysis of the Box-Method." In Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices, 219–35. Basel: Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8528-7_17.

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Conference papers on the topic "Petrov-Galerkin"

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Raju, I., and T. Chen. "Meshless Petrov-Galerkin method applied to axisymmetric problems." In 19th AIAA Applied Aerodynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-1253.

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Bouchot, Jean-Luc, Benjamin Bykowski, Holger Rauhut, and Christoph Schwab. "Compressed sensing Petrov-Galerkin approximations for parametric PDEs." In 2015 International Conference on Sampling Theory and Applications (SampTA). IEEE, 2015. http://dx.doi.org/10.1109/sampta.2015.7148947.

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Rao, Singiresu S. "Meshless Local Petrov-Galerkin Method for Heat Transfer Analysis." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-64554.

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A meshless local Petrov-Galerkin (MLPG) method is proposed to obtain the numerical solution of nonlinear heat transfer problems. The moving least squares scheme is generalized, to construct the field variable and its derivative continuously over the entire domain. The essential boundary conditions are enforced by the direct scheme. The radiation heat transfer coefficient is defined, and the nonlinear boundary value problem is solved as a sequence of linear problems each time updating the radiation heat transfer coefficient. The matrix formulation is used to drive the equations for a 3 dimensional nonlinear coupled radiation heat transfer problem. By using the MPLG method, along with the linearization of the nonlinear radiation problem, a new numerical approach is proposed to find the solution of the coupled heat transfer problem. A numerical study of the dimensionless size parameters for the quadrature and support domains is conducted to find the most appropriate values to ensure convergence of the nodal temperatures to the correct values quickly. Numerical examples are presented to illustrate the applicability and effectiveness of the proposed methodology for the solution of heat transfer problems involving radiation with different types of boundary conditions. In each case, the results obtained using the MLPG method are compared with those given by the FEM method for validation of the results.
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Raju, Ivatury S. "Simple Test Functions in Meshless Local Petrov-Galerkin Methods." In 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-1240.

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Moro, David, Ngoc Cuong Nguyen, Jaime Peraire, and Jay Gopalakrishnan. "A Hybridized Discontinuous Petrov-Galerkin Method for Compresible Flows." In 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-197.

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Kast, Steve, Johann P. Dahm, and Krzysztof Fidkowski. "A Hybrid Petrov-Galerkin Method for Optimal Output Prediction." In 53rd AIAA Aerospace Sciences Meeting. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2015. http://dx.doi.org/10.2514/6.2015-1956.

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Correa, Bruno C., Elson J. Silva, Alexandre R. Fonseca, Diogo B. Oliveira, and Renato C. Mesquita. "Meshless Local Petrov-Galerkin in solving microwave guide problems." In 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2010). IEEE, 2010. http://dx.doi.org/10.1109/cefc.2010.5481729.

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Singh, Rituraj, Abhishek Kumar Singh, and Krishna Mohan Singh. "Stabilised Meshless Local Petrov Galerkin Method for Heat Conduction." In Proceedings of the 25th National and 3rd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2019). Connecticut: Begellhouse, 2019. http://dx.doi.org/10.1615/ihmtc-2019.1220.

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Zucatti da Silva, Victor, and William Wolf. "Assessment of Galerkin and Least-Squares Petrov-Galerkin: reduced-order models for unsteady flows." In 18th Brazilian Congress of Thermal Sciences and Engineering. ABCM, 2020. http://dx.doi.org/10.26678/abcm.encit2020.cit20-0181.

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Slemp, Wesley, Rakesh Kapania, and Sameer Mulani. "Integrated Local Petrov-Galerkin Sinc Method for Structural Mechanics Problems." In 50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-2392.

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Reports on the topic "Petrov-Galerkin"

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Nourgaliev, R., H. Luo, S. Schofield, T. Dunn, A. Anderson, B. Weston, and J. Delplanque. Fully-Implicit Orthogonal Reconstructed Discontinuous Petrov-Galerkin Method for Multiphysics Problems. Office of Scientific and Technical Information (OSTI), February 2015. http://dx.doi.org/10.2172/1178386.

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Atluri, Satya N. Meshless Local Petrov-Galerkin Method for Solving Contact, Impact and Penetration Problems. Fort Belvoir, VA: Defense Technical Information Center, November 2006. http://dx.doi.org/10.21236/ada515552.

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Roberts, Nathaniel David, Pavel Blagoveston Bochev, Leszek D. Demkowicz, and Denis Ridzal. A toolbox for a class of discontinuous Petrov-Galerkin methods using trilinos. Office of Scientific and Technical Information (OSTI), September 2011. http://dx.doi.org/10.2172/1029782.

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You might also be interested in the extended bibliographies on the topic 'Petrov-Galerkin' for particular source types:
Journal articles Dissertations / Theses
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