title: The use of negative penalty functions in solving partial differential equations

authors: Ilanko, Sinniah

subjects: negative penalty function

abstract: In variational and optimization problems where the field variable is represented by a series of functions that individually do not satisfy the constraints, penalty functions are often used to enforce the constraint conditions approximately. The major drawback with this approach is that the error due to any violation of the constraint is not known. In a recent publication dealing with the Rayleigh-Ritz method it was shown that, by using a combination of positive and negative penalty parameters, any error due to the violation of the constraints may be kept within any desired tolerance. This paper shows that this approach may also be used in solving partial differential equations using a Galerkin's solution to Laplace's equation subject to mixed Neumann and Dirichlet boundary conditions as an example.

text: The use of negative penalty functions in solving partial differential equations In variational and optimization problems where the field variable is represented by a series of functions that individually do not satisfy the constraints, penalty functions are often used to enforce the constraint conditions approximately. The major drawback with this approach is that the error due to any violation of the constraint is not known. In a recent publication dealing with the Rayleigh-Ritz method it was shown that, by using a combination of positive and negative penalty parameters, any error due to the violation of the constraints may be kept within any desired tolerance. This paper shows that this approach may also be used in solving partial differential equations using a Galerkin's solution to Laplace's equation subject to mixed Neumann and Dirichlet boundary conditions as an example.

year: 2005

title: A 2012 survey of the Australasian clinical medical physics and biomedical engineering workforce

authors: Round, W. Howell

subjects: Medical physics

abstract: A survey of the medical physics and biomedical engineering workforce in Australia and New Zealand was carried out in 2012 following on from similar surveys in 2009 and 2006. 761 positions (equivalent to 736 equivalent full time (EFT) positions) were captured by the survey. Of these, 428 EFT were in radiation oncology physics, 63 EFT were in radiology physics, 49 EFT were in nuclear medicine physics, 150 EFT were in biomedical engineering and 46 EFT were attributed to other activities. The survey reviewed the experience profile, the salary levels and the number of vacant positions in the workforce for the different disciplines in each Australian state and in New Zealand. Analysis of the data shows the changes to the workforce over the preceding 6 years and identifies shortfalls in the workforce.

text: A 2012 survey of the Australasian clinical medical physics and biomedical engineering workforce A survey of the medical physics and biomedical engineering workforce in Australia and New Zealand was carried out in 2012 following on from similar surveys in 2009 and 2006. 761 positions (equivalent to 736 equivalent full time (EFT) positions) were captured by the survey. Of these, 428 EFT were in radiation oncology physics, 63 EFT were in radiology physics, 49 EFT were in nuclear medicine physics, 150 EFT were in biomedical engineering and 46 EFT were attributed to other activities. The survey reviewed the experience profile, the salary levels and the number of vacant positions in the workforce for the different disciplines in each Australian state and in New Zealand. Analysis of the data shows the changes to the workforce over the preceding 6 years and identifies shortfalls in the workforce.

year: 2013

title: What does 'Ethical Research'' look like? An indigenous perspective on big data & precision medicine

authors: Hudson, Maui

abstract: Southeast Native American Health Data (SENAHD) in partnership with Native BioData Consortium will host an online symposium about the ethical use of Indigenous genetic, environmental, biological, and cultural data. SENAHD is based at UNC Chapel Hill. Our partner, Native BioData Consortium is located on the Cheyanne River Sioux Reservation in South Dakota. NativeBio is one of the most important voices advocating for Indigenous health equity, data sovereignty, and ethical research practices. NativeBio is coming to the Southeast to recognize and include our region in important conversations taking place across Indian Country

text: What does 'Ethical Research'' look like? An indigenous perspective on big data & precision medicine Southeast Native American Health Data (SENAHD) in partnership with Native BioData Consortium will host an online symposium about the ethical use of Indigenous genetic, environmental, biological, and cultural data. SENAHD is based at UNC Chapel Hill. Our partner, Native BioData Consortium is located on the Cheyanne River Sioux Reservation in South Dakota. NativeBio is one of the most important voices advocating for Indigenous health equity, data sovereignty, and ethical research practices. NativeBio is coming to the Southeast to recognize and include our region in important conversations taking place across Indian Country

year: 2022