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Friday, May 15, 2020 | History

7 edition of A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations found in the catalog.

A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations

by Marc Alexander Schweitzer

  • 128 Want to read
  • 11 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Differential Equations,
  • Mathematics,
  • Differential equations, Ellipt,
  • Science/Mathematics,
  • Partition of unity method,
  • Number Systems,
  • Differential Equations - Partial Differential Equations,
  • General,
  • Mathematics / Number Systems,
  • Mathematics : Number Systems,
  • Medical : General,
  • meshfree method,
  • multilevel method,
  • parallel computation,
  • partition of unity,
  • tree code,
  • Data processing,
  • Differential equations, Elliptic,
  • Numerical solutions

  • Edition Notes

    Lecture Notes in Computational Science and Engineering

    The Physical Object
    FormatPaperback
    Number of Pages194
    ID Numbers
    Open LibraryOL9053768M
    ISBN 103540003517
    ISBN 109783540003519

    A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations (Lecture Notes in Computational Science and Engineering) Riccati differential equations, Volume 86 (Mathematics in Science and Engineering) Riccati differential equations, Volume 86 (Mathematics in Science and Engineering).   Computational Fluid Dynamics for Sport Simulation by Martin Peters, A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations. Marc Alexander Schweitzer. 01 May Paperback. US$ Add to basket.

    Explore books by Marc Alexander Schweitzer with our selection at Click and Collect from your local Waterstones or get FREE UK delivery on orders over £ Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations.

    Book — 1 online resource (xx, pages): illustrations (some color). Online. Efficient Implementation and Parallelization of Meshfree and Particle Methods-The Parallel Multilevel Partition of Unity Method. stochastic systems and the computation of partial differential equations. The wide range of . The first chapter gives the basics of partial differential equations, discretizations, the two ingredients of multigrid, and the iterative solution of the resulting algebraic systems. The next four chapters take the reader through the fundamentals of multigrid methods, including an analysis of nonlinear problems and higher order discretizations.


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A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations by Marc Alexander Schweitzer Download PDF EPUB FB2

This volume now presents an efficient parallel implementation of a meshfree method, namely the partition of unity method (PUM). A general numerical integration scheme is presented for the efficient assembly of the stiffness matrix as well as an optimal multilevel solver for the arising linear system.

Buy A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations (Lecture Notes in Computational Science and Engineering) on FREE SHIPPING on qualified ordersCited by: Get this from a library.

A parallel multilevel partition of unity method for elliptic partial differential equations. [Marc Alexander Schweitzer]. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations by Marc Alexander Schweitzer,available at Book Depository with free delivery : Marc Alexander Schweitzer.

Get this from a library. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations. [Marc Alexander Schweitzer] -- The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years.

Up to now, however, meshfree methods have been. Schweitzer M.A. () Partition of Unity Method. In: A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations.

Lecture Notes in Computational Science and Engineering, vol Cited by:   M.A. Schweitzer, A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations.

Lecture Notes in Computational Science and Engineering, vol. 29 (Springer, Berlin, ) Google ScholarCited by: 2. Schweitzer, A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations, vol. 29 of Lecture Notes in Computational Science and Engineering, Springer, Google ScholarCited by: 6.

Multilevel Partition of Unity Method for Elliptic Problems with Strongly Discontinuous Coefficients, Meshfree Methods for Partial Differential Equations VI Conference Paper Jan 1 Introduction.- 2 Partition of Unity Method.- Construction of a Partition of Unity Space.- Properties.- Basic Convergence Theory.- 3 Treatment of Elliptic Equations.- Galerkin.

Efficient Implementation and Parallelization of Meshfree and Particle Methods—The Parallel Multilevel Partition of Unity Method. Frontiers of Numerical Analysis, A Particle-Partition of Unity Method Part VI: A p-robust Multilevel by: 1 Introduction.- 2 Partition of Unity Method.- Construction of a Partition of Unity Space.- Properties.- Basic Convergence Theory.- 3 Treatment of Elliptic Equations.- Galerkin Author: Marc Alexander Schweitzer.

In this sequel to part I [SIAM J. Sci. Comput., 22 (), pp. ] and part II [SIAM J. Sci. Comput., 23 (), pp. ] we focus on the efficient solution of the linear block-systems arising from a Galerkin discretization of an elliptic partial differential equation of second order with the partition of unity method (PUM).We present a cheap multilevel solver for partition of Cited by: In this thesis, we present a CUDA-implementation of two sub-steps of the Parallel Multilevel Partition of Unity Method (PMPUM).

The PMPUM is a method for the approximation of Partial Differential. This paper is concerned with the hp-adaptive multilevel solution of second order elliptic partial differential equations using the meshfree particle–partition of unity : Marc Alexander Schweitzer.

Follow Marc Alexander Schweitzer and explore their bibliography from 's Marc Alexander Schweitzer Author Page. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations.

Marc Alexander Schweitzer. 01 May Paperback. US$ Add to basket. 14% off. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations.

Marc Alexander Schweitzer. 13 Feb Paperback. unavailable. Multilevel Partition of Unity Method for Elliptic Problems with Strongly Discontinuous Coefficients. Meshfree Methods for Partial Differential Equations VI, () Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant by: A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations.

Marc Alexander Schweitzer. 01 May Paperback. US$ Add to basket. Photon Statistics of Semiconductor Light Sources. Kim Marc Alexander Weßeling. 19 Jun Paperback. US$ Add to basket. [PDF] A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations (Lecture Notes in Computational Science and Engineering) [PDF] Nonlinear Partial Differential Equations and Free Boundaries: Elliptic Equations v.

1 (Research notes in mathematics). Multilevel Partition of Unity Method for Elliptic Problems with Strongly Discontinuous Coefficients. Meshfree Methods for Partial Differential Equations VI, () Numerical simulation of water resources problems: Models, methods, and by: This paper is concerned with the treatment of essential boundary conditions in meshfree methods.

In particular, we focus on the particle–partition of unity method (PPUM). However, the proposed tech Cited by: method (PUM). Compared to classical finite element methods (FEM), a PUM can directly utilize user basis functions in order improve the approximation properties of the model and to reduce Schweitzer.

A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations, Volume.