Print Email Facebook Twitter Constrained least-squares methods for partial differential equations Part of: ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics· list the conference papers Title Constrained least-squares methods for partial differential equations Author De Maerschalck, B. Gerritsma, M.I. Date 2006-09-08 Abstract Least-squares methods for partial differential equations are based on a norm-equivalence between the error norm and the residual norm. The resulting algebraic system of equations, which is symmetric positive definite, can also be obtained by solving a weighted collocation scheme using least-squares to solve the resulting algebraic equations. Furthermore, least-squares allows to ad extra constraints to the system. In the present work the entropy is added as an extra inequality constraint to ensure only physical solutions for the one-dimensional inviscid Burgers equation are obtained. Subject least-squaresspectral elementsspace-timeentropy condition To reference this document use: http://resolver.tudelft.nl/uuid:df762acc-025c-4af4-a4c7-0c211ed17639 Part of collection Conference proceedings Document type conference paper Rights (c) 2006 De Maerschalck, B.; Gerritsma, M.I. Files PDF De_Maerschalck.pdf 218.39 KB Close viewer /islandora/object/uuid:df762acc-025c-4af4-a4c7-0c211ed17639/datastream/OBJ/view