Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem

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Standard

Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem. / Monge, Azahar; Birken, Philipp.

VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015), Proceedings of the. red. / Bernhard A. Schrefler; Eugenio Oñate; Manolis Papadrakakis. CIMNE, 2015. s. 452-463.

Forskningsoutput: Kapitel i bok/rapport/Conference proceedingKonferenspaper i proceeding

Harvard

Monge, A & Birken, P 2015, Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem. i BA Schrefler, E Oñate & M Papadrakakis (red), VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015), Proceedings of the. CIMNE, s. 452-463, 2015/05/18.

APA

Monge, A., & Birken, P. (2015). Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem. I B. A. Schrefler, E. Oñate, & M. Papadrakakis (Red.), VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015), Proceedings of the (s. 452-463). CIMNE.

CBE

Monge A, Birken P. 2015. Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem. Schrefler BA, Oñate E, Papadrakakis M, redaktörer. I VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015), Proceedings of the. CIMNE. s. 452-463.

MLA

Monge, Azahar och Philipp Birken "Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem"., Schrefler, Bernhard A. Oñate, Eugenio Papadrakakis, Manolis (redaktörer). VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015), Proceedings of the. CIMNE. 2015, 452-463.

Vancouver

Monge A, Birken P. Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem. I Schrefler BA, Oñate E, Papadrakakis M, redaktörer, VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015), Proceedings of the. CIMNE. 2015. s. 452-463

Author

Monge, Azahar ; Birken, Philipp. / Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem. VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015), Proceedings of the. redaktör / Bernhard A. Schrefler ; Eugenio Oñate ; Manolis Papadrakakis. CIMNE, 2015. s. 452-463

RIS

TY - GEN

T1 - Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem

AU - Monge, Azahar

AU - Birken, Philipp

N1 - The complete proceedings of the conference may be found at: http://congress.cimne.com/coupled2015/frontal/doc/Ebook_COUPLED_15.pdf

PY - 2015

Y1 - 2015

N2 - We present an estimate for the convergence rate of the Dirichlet-Neumann iteration for the discretized unsteady transmission problem. Specifically, we consider the coupling of two heat equations on two identical squared domains. The Laplacian is discretized by second order central finite differences and the implicit Euler method is used for the time discretization. For the semidiscrete case, Henshaw and Chad provided in 2009 a method to analyse stability and convergence speed based on applying the continuous Fourier transform to the semi-discretized equations. Numerical results for the fully discrete case show differences, which is why we propose a complementary analysis based on approximating the spectral radius of the iteration matrix. Numerical results are presented to illustrate the analysis.

AB - We present an estimate for the convergence rate of the Dirichlet-Neumann iteration for the discretized unsteady transmission problem. Specifically, we consider the coupling of two heat equations on two identical squared domains. The Laplacian is discretized by second order central finite differences and the implicit Euler method is used for the time discretization. For the semidiscrete case, Henshaw and Chad provided in 2009 a method to analyse stability and convergence speed based on applying the continuous Fourier transform to the semi-discretized equations. Numerical results for the fully discrete case show differences, which is why we propose a complementary analysis based on approximating the spectral radius of the iteration matrix. Numerical results are presented to illustrate the analysis.

KW - Dirichlet-Neumann Iteration

KW - Fixed Point Iteration

KW - Transmission Problem

KW - Coupled Problems

KW - Thermal Fluid Structure Interaction

M3 - Paper in conference proceeding

SN - 978-84-943928-3-2

SP - 452

EP - 463

BT - VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015), Proceedings of the

A2 - Schrefler, Bernhard A.

A2 - Oñate, Eugenio

A2 - Papadrakakis, Manolis

PB - CIMNE

ER -