Log in

Relevant bibliographies by topics / Adaptive multigrid algorithms

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Adaptive multigrid algorithms'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 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 'Adaptive multigrid algorithms.'

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 "Adaptive multigrid algorithms"

1

Bartsch, Guido, and Christian Wulf. "Adaptive Multigrid for Helmholtz Problems." Journal of Computational Acoustics 11, no. 03 (2003): 341–50. http://dx.doi.org/10.1142/s0218396x03001997.

Full text

Abstract:

Solving Helmholtz problems for low frequency sound fields by a truncated modal basis approach is very efficient. The most time-consuming process is the calculation of the undamped modes. Using traditional FE solvers, the user has to provide a mesh which has at least six nodes per wavelength in each spatial direction to achieve acceptable results. Because the mesh size increases with the 3rd power of the highest frequency of interest, this uniform dense mesh approach is a very expensive way of creating a modal space. However, the number of modes and the accuracy of the modal basis directly infl

APA, Harvard, Vancouver, ISO, and other styles

2

Carstensen, Carsten, and Jun Hu. "Hierarchical Argyris Finite Element Method for Adaptive and Multigrid Algorithms." Computational Methods in Applied Mathematics 21, no. 3 (2021): 529–56. http://dx.doi.org/10.1515/cmam-2021-0083.

Full text

Abstract:

Abstract The global arrangement of the degrees of freedom in a standard Argyris finite element method (FEM) enforces C 2 {C^{2}} at interior vertices, while solely global C 1 {C^{1}} continuity is required for the conformity in H 2 {H^{2}} . Since the Argyris finite element functions are not C 2 {C^{2}} at the midpoints of edges in general, the bisection of an edge for mesh-refinement leads to non-nestedness: the standard Argyris finite element space A ′ ⁢ ( 𝒯 ) {A^{\prime}(\mathcal{T})} associated to a triangulation 𝒯 {\mathcal{T}} with a refinement 𝒯 ^ {\widehat{\mathcal{T}}} is not a subspa

APA, Harvard, Vancouver, ISO, and other styles

3

Stals, Linda. "Algorithm-based fault recovery of adaptively refined parallel multilevel grids." International Journal of High Performance Computing Applications 33, no. 1 (2017): 189–211. http://dx.doi.org/10.1177/1094342017720801.

Full text

Abstract:

On future extreme scale computers, it is expected that faults will become an increasingly serious problem as the number of individual components grows and failures become more frequent. This is driving the interest in designing algorithms with built-in fault tolerance that can continue to operate and that can replace data even if part of the computation is lost in a failure. For fault-free computations, the use of adaptive refinement techniques in combination with finite element methods is well established. Furthermore, iterative solution techniques that incorporate information about the grid

APA, Harvard, Vancouver, ISO, and other styles

4

Yang, Yidu, Yu Zhang, and Hai Bi. "Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field." Abstract and Applied Analysis 2012 (2012): 1–25. http://dx.doi.org/10.1155/2012/190768.

Full text

Abstract:

This paper discusses highly finite element algorithms for the eigenvalue problem of electric field. Combining the mixed finite element method with the Rayleigh quotient iteration method, a new multi-grid discretization scheme and an adaptive algorithm are proposed and applied to the eigenvalue problem of electric field. Theoretical analysis and numerical results show that the computational schemes established in the paper have high efficiency.

APA, Harvard, Vancouver, ISO, and other styles

5

Bader, M., S. Schraufstetter, C. A. Vigh, and J. Behrens. "Memory efficient adaptive mesh generation and implementation of multigrid algorithms using Sierpinski curves." International Journal of Computational Science and Engineering 4, no. 1 (2008): 12. http://dx.doi.org/10.1504/ijcse.2008.021108.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Yang, Feng Wei, Chandrasekhar Venkataraman, Vanessa Styles, and Anotida Madzvamuse. "A Robust and Efficient Adaptive Multigrid Solver for the Optimal Control of Phase Field Formulations of Geometric Evolution Laws." Communications in Computational Physics 21, no. 1 (2016): 65–92. http://dx.doi.org/10.4208/cicp.240715.080716a.

Full text

Abstract:

AbstractWe propose and investigate a novel solution strategy to efficiently and accurately compute approximate solutions to semilinear optimal control problems, focusing on the optimal control of phase field formulations of geometric evolution laws. The optimal control of geometric evolution laws arises in a number of applications in fields including material science, image processing, tumour growth and cell motility. Despite this, many open problems remain in the analysis and approximation of such problems. In the current work we focus on a phase field formulation of the optimal control probl

APA, Harvard, Vancouver, ISO, and other styles

7

Miraçi, Ani, Jan Papež, and Martin Vohralík. "Contractive Local Adaptive Smoothing Based on Dörfler’s Marking in A-Posteriori-Steered p-Robust Multigrid Solvers." Computational Methods in Applied Mathematics 21, no. 2 (2021): 445–68. http://dx.doi.org/10.1515/cmam-2020-0024.

Full text

Abstract:

Abstract In this work, we study a local adaptive smoothing algorithm for a-posteriori-steered p-robust multigrid methods. The solver tackles a linear system which is generated by the discretization of a second-order elliptic diffusion problem using conforming finite elements of polynomial order p ≥ 1 {p\geq 1} . After one V-cycle (“full-smoothing” substep) of the solver of [A. Miraçi, J. Papež, and M. Vohralík, A-posteriori-steered p-robust multigrid with optimal step-sizes and adaptive number of smoothing steps, SIAM J. Sci. Comput. 2021, 10.1137/20M1349503], we dispose of a reliable, efficie

APA, Harvard, Vancouver, ISO, and other styles

8

Sun, J., and P. Monk. "An Adaptive Algebraic Multigrid Algorithm for Micromagnetism." IEEE Transactions on Magnetics 42, no. 6 (2006): 1643–47. http://dx.doi.org/10.1109/tmag.2006.872004.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Ji, Hua, Fue-Sang Lien, and Eugene Yee. "Parallel Adaptive Mesh Refinement Combined with Additive Multigrid for the Efficient Solution of the Poisson Equation." ISRN Applied Mathematics 2012 (March 12, 2012): 1–24. http://dx.doi.org/10.5402/2012/246491.

Full text

Abstract:

Three different speed-up methods (viz., additive multigrid method, adaptive mesh refinement (AMR), and parallelization) have been combined in order to provide a highly efficient parallel solver for the Poisson equation. Rather than using an ordinary tree data structure to organize the information on the adaptive Cartesian mesh, a modified form of the fully threaded tree (FTT) data structure is used. The Hilbert space-filling curve (SFC) approach has been adopted for dynamic grid partitioning (resulting in a partitioning that is near optimal with respect to load balancing on a parallel computat

APA, Harvard, Vancouver, ISO, and other styles

10

LOPEZ, S., and R. CASCIARO. "ALGORITHMIC ASPECTS OF ADAPTIVE MULTIGRID FINITE ELEMENT ANALYSIS." International Journal for Numerical Methods in Engineering 40, no. 5 (1997): 919–36. http://dx.doi.org/10.1002/(sici)1097-0207(19970315)40:5<919::aid-nme95>3.0.co;2-u.

Full text

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Adaptive multigrid algorithms"

1

Mayfield, Andrew James. "Adaptive mesh refinement." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358687.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Cakmak, Mehtap. "Development Of A Multigrid Accelerated Euler Solver On Adaptively Refined Two- And Three-dimensional Cartesian Grids." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/2/12610753/index.pdf.

Full text

Abstract:

Cartesian grids offer a valuable option to simulate aerodynamic flows around complex geometries such as multi-element airfoils, aircrafts, and rockets. Therefore, an adaptively-refined Cartesian grid generator and Euler solver are developed. For the mesh generation part of the algorithm, dynamic data structures are used to determine connectivity information between cells and uniform mesh is created in the domain. Marching squares and cubes algorithms are used to form interfaces of cut and split cells. Geometry-based cell adaptation is applied in the mesh generation. After obtaining appropriate

APA, Harvard, Vancouver, ISO, and other styles

3

Pathak, Harshavardhana Sunil. "Adaptive Mesh Redistribution for Hyperbolic Conservation Laws." Thesis, 2013. http://hdl.handle.net/2005/3281.

Full text

Abstract:

An adaptive mesh redistribution method for efficient and accurate simulation of multi dimensional hyperbolic conservation laws is developed. The algorithm consists of two coupled steps; evolution of the governing PDE followed by a redistribution of the computational nodes. The second step, i.e. mesh redistribution is carried out at each time step iteratively with the primary aim of adapting the grid to the computed solution in order to maximize accuracy while minimizing the computational overheads. The governing hyperbolic conservation laws, originally defined on the physical domain, are trans

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Adaptive multigrid algorithms"

1

Mavriplis, Dimitri J. Multigrid solution of the Euler equations on unstructured and adaptive meshes. ICASE, 1987.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

Stals, Linda. The solution of radiation transport equations with adaptive finite elements. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2001.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

3

1948-, Hackbusch W., and Wittum Gabriel 1956-, eds. Adaptive methods--algorithms, theory and applications: Proceedings of the Ninth GAMM-Seminar, Kiel, January 22-24, 1993. Vieweg, 1994.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

4

Lang, Jens. Adaptive multilevel solution of nonlinear parabolic PDE systems: Theory, algorithm, and applications. Springer, 2001.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

5

The solution of radiation transport equations with adaptive finite elements. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2001.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

6

K, Leaf G., Van Rosendale John R, and Institute for Computer Applications in Science and Engineering., eds. A dynamically adaptive multigrid algorithm for the incompressible Navier-Stokes equations: Validation and model problems. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1991.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Adaptive multigrid algorithms"

1

Botorog, George Horatiu, and Herbert Kuchen. "Algorithmic skeletons for adaptive multigrid methods." In Parallel Algorithms for Irregularly Structured Problems. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/3-540-60321-2_2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Douglas, Craig C., Jonathan Hu, Wolfgang Karl, Markus Kowarschik, Ulrich Rüde, and Christian Weiß. "Fixed and Adaptive Cache Aware Algorithms for Multigrid Methods." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-58312-4_11.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Vasileva, Daniela. "On an Adaptive Semirefinement Multigrid Algorithm for Convection-Diffusion Problems." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00464-3_67.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Thompson, C. P. "A Parallel Adaptive Multigrid Algorithm for the Incompressible Navier-Stokes Equations." In Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1810-1_19.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Richert, Thomas. "Dynamic Load Balancing for Parallel Adaptive Multigrid Solvers with Algorithmic Skeletons." In Euro-Par 2000 Parallel Processing. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-44520-x_42.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Li, Wei, and Yunqing Huang. "A Modified Adaptive Algebraic Multigrid Algorithm for Elliptic Obstacle Problems." In Series in Contemporary Applied Mathematics. CO-PUBLISHED WITH HIGHER EDUCATION PRESS, 2006. http://dx.doi.org/10.1142/9789812774194_0008.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Adaptive multigrid algorithms"

1

Gilles, Luc, Brent L. Ellerbroek, and Curtis R. Vogel. "Layer-oriented multigrid wavefront reconstruction algorithms for multiconjugate adaptive optics." In Astronomical Telescopes and Instrumentation, edited by Peter L. Wizinowich and Domenico Bonaccini. SPIE, 2003. http://dx.doi.org/10.1117/12.459347.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Irmisch, Stefan. "Adaptive Finite-Volume Solution of the Two-Dimensional Euler Equations on Unstructured Meshes." In ASME 1994 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/94-gt-087.

Full text

Abstract:

This paper presents a finite-volume method for solving the compressible, two-dimensional Euler equations using unstructured triangular meshes. The integration in time, to a steady-state solution, is performed using an explicit, multistage Runge-Kutta algorithm. A special treatment of the artificial viscosity along the boundaries reduces the production of numerical losses. Convergence acceleration is achieved by employing local time-stepping, implicit residual smoothing and a multigrid technique. The use of unstructured meshes, based on Delaunay triangulation, automatically adapted to the solut

APA, Harvard, Vancouver, ISO, and other styles

3

Ebna Hai, Bhuiyan Shameem Mahmood, and Markus Bause. "Adaptive Multigrid Methods for Extended Fluid-Structure Interaction (eXFSI) Problem: Part I — Mathematical Modelling." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53265.

Full text

Abstract:

This contribution is the first part of three papers on Adaptive Multigrid Methods for eXtended Fluid-Structure Interaction (eXFSI) Problem, where we introduce a monolithic variational formulation and solution techniques. In a monolithic nonlinear fluid-structure interaction (FSI), the fluid and structure models are formulated in different coordinate systems. This makes the FSI setup of a common variational description difficult and challenging. This article presents the state-of-the-art of recent developments in the finite element approximation of FSI problem based on monolithic variational fo

APA, Harvard, Vancouver, ISO, and other styles

4

Ebna Hai, Bhuiyan Shameem Mahmood, Markus Bause, and Paul Kuberry. "Finite Element Approximation of the Extended Fluid-Structure Interaction (eXFSI) Problem." In ASME 2016 Fluids Engineering Division Summer Meeting collocated with the ASME 2016 Heat Transfer Summer Conference and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/fedsm2016-7506.

Full text

Abstract:

This contribution is the second part of three papers on Adaptive Multigrid Methods for the eXtended Fluid-Structure Interaction (eXFSI) Problem, where we introduce a monolithic variational formulation and solution techniques. To the best of our knowledge, such a model is new in the literature. This model is used to design an on-line structural health monitoring (SHM) system in order to determine the coupled acoustic and elastic wave propagation in moving domains and optimum locations for SHM sensors. In a monolithic nonlinear fluid-structure interaction (FSI), the fluid and structure models ar

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!