Log in

Relevant bibliographies by topics / Petrov-Galerkin

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers
Reports

Academic literature on the topic 'Petrov-Galerkin'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Petrov-Galerkin.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Petrov-Galerkin"

1

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

2

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 (1998): 406–34. http://dx.doi.org/10.1137/s0036142996297217.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

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

Full text

Abstract:

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 approximation

APA, Harvard, Vancouver, ISO, and other styles

4

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

5

Galanin, M., and E. Savenkov. "FEDORENKO FINITE SUPERELEMENT METHOD AS SPECIAL GALERKIN APPROXIMATION." Mathematical Modelling and Analysis 7, no. 1 (2002): 41–50. http://dx.doi.org/10.3846/13926292.2002.9637176.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

6

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Demkowicz, Leszek, and Jay Gopalakrishnan. "The discontinuous Petrov–Galerkin method." Acta Numerica 34 (July 2025): 293–384. https://doi.org/10.1017/s0962492924000102.

Full text

Abstract:

The discontinuous Petrov–Galerkin (DPG) method is a Petrov–Galerkin finite element method with test functions designed for obtaining stability. These test functions are computable locally, element by element, and are motivated by optimal test functions which attain the supremum in an inf-sup condition. A profound consequence of the use of nearly optimal test functions is that the DPG method can inherit the stability of the (undiscretized) variational formulation, be it coercive or not. This paper combines a presentation of the fundamentals of the DPG ideas with a review of the ongoing research

APA, Harvard, Vancouver, ISO, and other styles

9

Führer, Thomas, Norbert Heuer, Michael Karkulik, and Rodolfo Rodríguez. "Combining the DPG Method with Finite Elements." Computational Methods in Applied Mathematics 18, no. 4 (2018): 639–52. http://dx.doi.org/10.1515/cmam-2017-0041.

Full text

Abstract:

AbstractWe propose and analyze a discretization scheme that combines the discontinuous Petrov–Galerkin and finite element methods. The underlying model problem is of general diffusion-advection-reaction type on bounded domains, with decomposition into two sub-domains. We propose a heterogeneous variational formulation that is of the ultra-weak (Petrov–Galerkin) form with broken test space in one part, and of Bubnov–Galerkin form in the other. A standard discretization with conforming approximation spaces and appropriate test spaces (optimal test functions for the ultra-weak part and standard t

APA, Harvard, Vancouver, ISO, and other styles

10

Yan, B., H. Zhou, and D. Li. "Numerical simulation of the filling stage for plastic injection moulding based on the Petrov-Galerkin methods." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 221, no. 10 (2007): 1573–77. http://dx.doi.org/10.1243/09544054jem823sc.

Full text

Abstract:

Simulation of plastic injection moulding is carried out essentially to solve non-isothermal, viscous, incompressible, and non-Newtonian convection-diffusion flow equations. However, finite element methods present spurious numerical oscillations, which give a failure result associated with the classical Galerkin formulations of viscous incompressible Navier-Stokes equations. The streamline-upwind/Petrov-Galerkin (SUPG) and pressure-stabilizing/Petrov-Galerkin (PSPG) formulations were employed to prevent these potential numerical instabilities by adding to the weighting functions with their deri

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Petrov-Galerkin"

1

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

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

Full text

Abstract:

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 veral

APA, Harvard, Vancouver, ISO, and other styles

3

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

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

Full text

Abstract:

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 use

APA, Harvard, Vancouver, ISO, and other styles

5

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

7

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

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.

Full text

Abstract:

Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 113-117).<br>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

APA, Harvard, Vancouver, ISO, and other styles

9

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.

Full text

Abstract:

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)<br>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<br>The basic difficulties associated with the numerical solution of the incompressible Navier-Stokes equations in primitive variables are identified and analysed. These diffi

APA, Harvard, Vancouver, ISO, and other styles

10

Gerber, George. "Unsteady pipe-flow using the Petrov-Galerkin finite element method." Thesis, Stellenbosch : Stellenbosch University, 2004. http://hdl.handle.net/10019.1/50214.

Full text

Abstract:

Thesis (MScEng)--University of Stellenbosch, 2004.<br>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 c

APA, Harvard, Vancouver, ISO, and other styles

More sources

Books on the topic "Petrov-Galerkin"

1

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

Find full text

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Petrov-Galerkin"

1

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

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. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01818-8_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

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. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4684-6352-1_5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

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

Full text

Abstract:

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 s

APA, Harvard, Vancouver, ISO, and other styles

9

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Wang, Min, and Xiping Wang. "The Meshless Local Petrov-Galerkin (MLPG) Approach with Couple-Stress." In Computational Mechanics. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-75999-7_150.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Petrov-Galerkin"

1

Mu�oz-Mutate, Judit, Nathaniel Roberts, and Leszek Demkowicz. "Discontinuous Petrov-Galerkin Methods for Transient PDEs." In Proposed for presentation at the Sandia Day @ UT 2022 held March 30-31, 2022 in Austin, TX United States. US DOE, 2022. http://dx.doi.org/10.2172/2002136.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Raju, Ivatury S. "Simple Test Functions in Meshless Local Petrov-Galerkin Methods." In 57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-1240.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

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.

Full text

Abstract:

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 dimensio

APA, Harvard, Vancouver, ISO, and other styles

8

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. American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-197.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

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). Begellhouse, 2019. http://dx.doi.org/10.1615/ihmtc-2019.1220.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Bellizzi, Sergio, and Rubens Sampaio. "Smooth Decomposition Analysis and Order Reduction of Nonlinear Mechanical Systems Under Random Excitation." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-87496.

Full text

Abstract:

This paper presents a possible alternative procedure to the Karhunen-Loève approach to construct reduced order models which capture accurately the dynamics of nonlinear discrete mechanical systems under random excitation. This procedure combines the Smooth Decomposition method and the Petrov-Galerkin approximation. The smooth decomposition method is a multivariate-data analysis method characterizing coherent structures (the smooth modes) as the eigenvectors of the generalized eigenproblem defined from the covariance matrix of the displacement field and the covariance matrix of the velocity fie

APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Petrov-Galerkin"

1

Nourgaliev, R., H. Luo, S. Schofield, et al. Fully-Implicit Orthogonal Reconstructed Discontinuous Petrov-Galerkin Method for Multiphysics Problems. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1178386.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

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), 2011. http://dx.doi.org/10.2172/1029782.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!