Relevant bibliographies by topics / Raviart-Thomas space

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Raviart-Thomas space'

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

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 'Raviart-Thomas space.'

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 "Raviart-Thomas space"

1

Bartels, Sören, and Zhangxian Wang. "Orthogonality relations of Crouzeix–Raviart and Raviart–Thomas finite element spaces." Numerische Mathematik 148, no. 1 (2021): 127–39. http://dx.doi.org/10.1007/s00211-021-01199-3.

Full text
Abstract:
AbstractIdentities that relate projections of Raviart–Thomas finite element vector fields to discrete gradients of Crouzeix–Raviart finite element functions are derived under general conditions. Various implications such as discrete convex duality results and a characterization of the image of the projection of the Crouzeix–Ravaiart space onto elementwise constant functions are deduced.
APA, Harvard, Vancouver, ISO, and other styles
2

Kraus, J. K., and S. K. Tomar. "Algebraic multilevel iteration method for lowest order Raviart-Thomas space and applications." International Journal for Numerical Methods in Engineering 86, no. 10 (2011): 1175–96. http://dx.doi.org/10.1002/nme.3103.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Zhu, Ailing. "Discontinuous Mixed Covolume Methods for Linear Parabolic Integrodifferential Problems." Journal of Applied Mathematics 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/649468.

Full text
Abstract:
The semidiscrete and fully discrete discontinuous mixed covolume schemes for the linear parabolic integrodifferential problems on triangular meshes are proposed. The error analysis of the semidiscrete and fully discrete discontinuous mixed covolume scheme is presented and the optimal order error estimate in discontinuousH(div)and first-order error estimate inL2are obtained with the lowest order Raviart-Thomas mixed element space.
APA, Harvard, Vancouver, ISO, and other styles
4

Swager, M. R., and Y. C. Zhou. "Genetic Exponentially Fitted Method for Solving Multi-dimensional Drift-diffusion Equations." Computational and Mathematical Biophysics 1 (March 20, 2013): 26–41. http://dx.doi.org/10.2478/mlbmb-2013-0001.

Full text
Abstract:
AbstractA general approach was proposed in this article to develop high-order exponentially fitted basis functions for finite element approximations of multi-dimensional drift-diffusion equations for modeling biomolecular electrodiffusion processes. Such methods are highly desirable for achieving numerical stability and efficiency. We found that by utilizing the one-to-one correspondence between the continuous piecewise polynomial space of degree k + 1 and the divergencefree vector space of degree k, one can construct high-order two-dimensional exponentially fitted basis functions that are str
APA, Harvard, Vancouver, ISO, and other styles
5

Glowinski, Roland, and Serguei Lapin. "Solution of a Wave Equation by a Mixed Finite Element - Fictitious Domain Method." Computational Methods in Applied Mathematics 4, no. 4 (2004): 431–44. http://dx.doi.org/10.2478/cmam-2004-0024.

Full text
Abstract:
AbstractThe main goal of this article is to investigate the capability of fictitious domain methods to simulate the scattering of linear waves by an obstacle whose shape does not fit the mesh. The space-time discretization relies on a combination of a mixed finite element method µa la Raviart-Thomas with a fairly standard finite difference scheme for the time discretization. The numerical results described in the article point to a good performance of the numerical method investigated here.
APA, Harvard, Vancouver, ISO, and other styles
6

Huang, Peiqi, Jinru Chen, and Mingchao Cai. "A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model." Advances in Applied Mathematics and Mechanics 9, no. 3 (2017): 596–620. http://dx.doi.org/10.4208/aamm.2016.m1397.

Full text
Abstract:
AbstractIn this work, we study numerical methods for a coupled fluid-porous media flow model. The model consists of Stokes equations and Darcy's equations in two neighboring subdomains, coupling together through certain interface conditions. The weak form for the coupled model is of saddle point type. A mortar finite element method is proposed to approximate the weak form of the coupled problem. In our method, nonconforming Crouzeix-Raviart elements are applied in the fluid subdomain and the lowest order Raviart-Thomas elements are applied in the porous media subdomain; Meshes in different sub
APA, Harvard, Vancouver, ISO, and other styles
7

Bertrand, Fleurianne, Daniele Boffi, and Rolf Stenberg. "Asymptotically Exact A Posteriori Error Analysis for the Mixed Laplace Eigenvalue Problem." Computational Methods in Applied Mathematics 20, no. 2 (2020): 215–25. http://dx.doi.org/10.1515/cmam-2019-0099.

Full text
Abstract:
AbstractThis paper derives a posteriori error estimates for the mixed numerical approximation of the Laplace eigenvalue problem. We discuss a reconstruction in the standard {H_{0}^{1}}-conforming space for the primal variable of the mixed Laplace eigenvalue problem and compare it with analogous approaches present in the literature for the corresponding source problem. In the case of Raviart–Thomas finite elements of arbitrary polynomial degree, the resulting error estimator constitutes a guaranteed upper bound for the error and is shown to be local efficient. Our reconstruction is performed lo
APA, Harvard, Vancouver, ISO, and other styles
8

BARRETT, JOHN W., and LEONID PRIGOZHIN. "A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY." Mathematical Models and Methods in Applied Sciences 20, no. 05 (2010): 679–706. http://dx.doi.org/10.1142/s0218202510004404.

Full text
Abstract:
We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity. We approximate this formulation by a fully practical finite element method based on the lowest order Raviart–Thomas element, which yields approximations to both the primal and dual variables (the magnetic and electric fields). We prove the subsequence convergence of this approximation, and hence prove the existence of a solution to both the dual and primal formulations, for strictly star-shaped domains. The effectiveness of the ap
APA, Harvard, Vancouver, ISO, and other styles
9

Diogene Vianney, Pongui ngoma, Nguimbi Germain, and Likibi Pellat Rhoss Beaunheur. "The effect of numerical integration in mixed finite element approximation in the simulation of miscible displacement." International Journal of Applied Mathematical Research 6, no. 2 (2017): 44. http://dx.doi.org/10.14419/ijamr.v6i2.7320.

Full text
Abstract:
We consider the effect of numerical integration in finite element procedures applied to a nonlinear system of two coupled partial differential equations describing the miscible displacement of one incompressible fluid by another in a porous meduim. We consider the use of the numerical quadrature scheme for approximating the pressure and velocity by a mixed method using Raviart - Thomas space of index and the concentration by a standard Galerkin method. We also give some sufficient conditions on the quadrature scheme to ensure that the order of convergence is unaltered in the presence of numeri
APA, Harvard, Vancouver, ISO, and other styles
10

Gillette, Andrew, Alexander Rand, and Chandrajit Bajaj. "Construction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes." Computational Methods in Applied Mathematics 16, no. 4 (2016): 667–83. http://dx.doi.org/10.1515/cmam-2016-0019.

Full text
Abstract:
AbstractWe combine theoretical results from polytope domain meshing, generalized barycentric coordinates, and finite element exterior calculus to construct scalar- and vector-valued basis functions for conforming finite element methods on generic convex polytope meshes in dimensions 2 and 3. Our construction recovers well-known bases for the lowest order Nédélec, Raviart–Thomas, and Brezzi–Douglas–Marini elements on simplicial meshes and generalizes the notion of Whitney forms to non-simplicial convex polygons and polyhedra. We show that our basis functions lie in the correct function space wi
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Raviart-Thomas space"

1

Konaté, Aboubacar. "Méthode multi-échelle pour la simulation d'écoulements miscibles en milieux poreux." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066006/document.

Full text
Abstract:
L'objet de cette thèse est l'étude et la mise en œuvre d'une méthode d’éléments finis multi-échelles pour la simulation d'écoulements miscibles en milieux poreux. La définition des fonctions de base multi-échelles suit l'idée introduite par F. Ouaki. La nouveauté de ce travail consiste à combiner cette approche multi-échelle avec des éléments finis de type Galerkine Discontinus (DG) de façon à pouvoir utiliser ces nouveaux éléments sur des maillages non-conformes composés de mailles de formes diverses. Nous rappelons, dans un premier temps, le principe des méthodes DG et montrons comment ces m
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Raviart-Thomas space"

1

Mozolevski, Igor, and Edson Luiz Valmorbida. "Efficient Equilibrated Flux Reconstruction in High Order Raviart-Thomas Space for Discontinuous Galerkin Methods." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65870-4_33.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Oh, Duk-Soon. "An Alternative Coarse Space Method for Overlapping Schwarz Preconditioners for Raviart-Thomas Vector Fields." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-35275-1_42.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Gatica, Gabriel N. "Raviart-Thomas Spaces." In SpringerBriefs in Mathematics. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-03695-3_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Raviart-Thomas space' for particular source types:
Journal articles
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!

To the bibliography