Print Email Facebook Twitter Dispersion analysis of finite-element schemes for a first-order formulation of the wave equation Title Dispersion analysis of finite-element schemes for a first-order formulation of the wave equation Author Shamasundar, R. Al-Khoury, R.I.N. Mulder, W.A. Faculty Civil Engineering and Geosciences Department Geoscience & Engineering Date 2015-12-31 Abstract We investigated one-dimensional numerical dispersion curves and error behaviour of four finite-element schemes with polynomial basis functions: the standard elements with equidistant nodes, the Legendre-Gauss-Lobatto points, the Chebyshev-Gauss-Lobatto nodes without a weighting function and with. Mass lumping, required for efficiency reasons and enabling explicit time stepping, may adversely affect the numerical error. We show that in some cases, the accuracy can be improved by applying one iteration on the full mass matrix, preconditioned by its lumped version. For polynomials of degree one, this improves the accuracy from second to fourth order in the element size. In other cases, the improvement in accuracy is less dramatic. To reference this document use: http://resolver.tudelft.nl/uuid:9d3b50c1-f09a-41c1-b241-5ef75d7ba5e6 Publisher EAGE Source 77th EAGE Conference and Exhibition 2015, Madrid, Spain, 1-4 June 2015 Part of collection Institutional Repository Document type conference paper Rights (c) 2015 The Author(s) Files PDF 317031.pdf 993.97 KB Close viewer /islandora/object/uuid:9d3b50c1-f09a-41c1-b241-5ef75d7ba5e6/datastream/OBJ/view