<I>A posteriori</I> finite element error bounds for non-linear outputs of the Helmholtz equation

@article{citeulike:774863, abstract = {A Neumann subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, constant-free upper and lower bounds for non-linear outputs of the Helmholtz equation in two-dimensional exterior domains is presented. The bound procedure is firstly formulated, with particular emphasis on appropriate extension to complex-valued equations; then, illustrative numerical examples for outputs, such as the intensity of the scattered wave over a small segment of the domain boundary, are provided. Copyright {\copyright} 1999 John Wiley \& Sons, Ltd.}, address = {Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA; Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA}, author = {Sarrate, J. and Peraire, J. and Patera, A. }, citeulike-article-id = {774863}, doi = {10.1002/(SICI)1097-0363(19990915)31:1<17::AID-FLD953>3.0.CO;2-X}, journal = {International Journal for Numerical Methods in Fluids}, keywords = {adaptive, a\_posteriori, error\_estimation, pde, swe}, number = {1}, pages = {17--36}, posted-at = {2006-07-26 17:43:14}, priority = {2}, title = {<I>A posteriori</I> finite element error bounds for non-linear outputs of the Helmholtz equation}, url = {http://dx.doi.org/10.1002/(SICI)1097-0363(19990915)31:1\%3C17::AID-FLD953\%3E3.0.CO;2-X}, volume = {31}, year = {1999} }

TY - JOUR ID - citeulike:774863 L3 - citeulike-article-id:774863 TI - <I>A posteriori</I> finite element error bounds for non-linear outputs of the Helmholtz equation JF - International Journal for Numerical Methods in Fluids VL - 31 IS - 1 SP - 17 EP - 36 AD - Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA; Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA N2 - A Neumann subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, constant-free upper and lower bounds for non-linear outputs of the Helmholtz equation in two-dimensional exterior domains is presented. The bound procedure is firstly formulated, with particular emphasis on appropriate extension to complex-valued equations; then, illustrative numerical examples for outputs, such as the intensity of the scattered wave over a small segment of the domain boundary, are provided. Copyright © 1999 John Wiley & Sons, Ltd. KW - adaptive KW - a_posteriori KW - error_estimation KW - pde KW - swe AU - Sarrate, J AU - Peraire, J AU - Patera, A PY - 1999/// UR - http://dx.doi.org/10.1002/(SICI)1097-0363(19990915)31:1%3C17::AID-FLD953%3E3.0.CO;2-X ER -