Multiple right-hand side techniques for the numerical simulation of quasistatic electric and magnetic fields☆ Export

@article{citeulike:6018418, abstract = {The simulation of slowly varying transient electric high-voltage fields and magnetic fields requires the repeated and successive solution of high-dimensional linear algebraic systems of equations with identical or near-identical system matrices and different right-hand side vectors. For these solution processes which are required within implicit time integration schemes and nonlinear (quasi-)Newton–Raphson methods an iterative multiple right-hand side (mrhs) scheme is used which recycles vector subspaces resulting from previous preconditioned conjugate gradient iteration runs. The combination of this scheme with a subspace projection extrapolation start value generation scheme is discussed. Numerical results for three-dimensional electric and magnetic field simulations are presented and the efficiency of the new schemes re-using eigenvector information from previous iteration processes with different tolerance criteria are compared to those of standard conjugate gradient iterations.}, author = {Clemens, M. and Helias, M. and Steinmetz, T. and Wimmer, G.}, citeulike-article-id = {6018418}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.cam.2006.04.072}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0377042706007436}, day = {01}, doi = {10.1016/j.cam.2006.04.072}, issn = {03770427}, journal = {Journal of Computational and Applied Mathematics}, keywords = {algorithm, electric, field, magnetic, numerical, simulation, solver, static}, month = {June}, number = {2}, pages = {328--338}, posted-at = {2009-10-28 12:56:31}, priority = {2}, title = {Multiple right-hand side techniques for the numerical simulation of quasistatic electric and magnetic fields☆}, url = {http://dx.doi.org/10.1016/j.cam.2006.04.072}, volume = {215}, year = {2008} }

TY - JOUR ID - citeulike:6018418 L3 - citeulike-article-id:6018418 N2 - The simulation of slowly varying transient electric high-voltage fields and magnetic fields requires the repeated and successive solution of high-dimensional linear algebraic systems of equations with identical or near-identical system matrices and different right-hand side vectors. For these solution processes which are required within implicit time integration schemes and nonlinear (quasi-)Newton–Raphson methods an iterative multiple right-hand side (mrhs) scheme is used which recycles vector subspaces resulting from previous preconditioned conjugate gradient iteration runs. The combination of this scheme with a subspace projection extrapolation start value generation scheme is discussed. Numerical results for three-dimensional electric and magnetic field simulations are presented and the efficiency of the new schemes re-using eigenvector information from previous iteration processes with different tolerance criteria are compared to those of standard conjugate gradient iterations. IS - 2 JF - Journal of Computational and Applied Mathematics SN - 03770427 EP - 338 TI - Multiple right-hand side techniques for the numerical simulation of quasistatic electric and magnetic fields☆ VL - 215 SP - 328 KW - algorithm KW - electric KW - field KW - magnetic KW - numerical KW - simulation KW - solver KW - static AU - Clemens, M AU - Helias, M AU - Steinmetz, T AU - Wimmer, G PY - 2008/06/01/ UR - http://dx.doi.org/10.1016/j.cam.2006.04.072 ER -