Sökning: "Schur complement"
Visar resultat 1 - 5 av 10 avhandlingar innehållade orden Schur complement.
1. Analysis and Implementation of Preconditioners for Prestressed Elasticity Problems : Advances and Enhancements
Sammanfattning : In this work, prestressed elasticity problem as a model of the so-called glacial isostatic adjustment (GIA) process is studied. The model problem is described by a set of partial differential equations (PDE) and discretized with a mixed finite element (FE) formulation. LÄS MER
2. Robust Preconditioners Based on the Finite Element Framework
Sammanfattning : Robust preconditioners on block-triangular and block-factorized form for three types of linear systems of two-by-two block form are studied in this thesis. The first type of linear systems, which are dense, arise from a boundary element type of discretization of crack propagation problems. LÄS MER
3. Developments in preconditioned iterative methods with application to glacial isostatic adjustment models
Sammanfattning : This study examines the block lower-triangular preconditioner with element-wise Schur complement as the lower diagonal block applied on matrices arising from an application in geophysics. The element-wise Schur complement is a special approximation of the exact Schur complement that can be constructed in the finite element framework. LÄS MER
4. Implementation of the spectral element method and iterative solution techniques for 3D controlled-source electromagnetic modelling
Sammanfattning : Controlled-source electromagnetic methods are imaging techniques applied at/on the surface of the Earth which record the electromagnetic field in order to assess the electrical conductivity distribution of the Earth’s subsurface, along with anomalies in this material property, as well as to characterise and interpret structures in Earth’s crust. Extracting information from the recorded electromagnetic data requires inverse modelling algorithms. LÄS MER
5. Robust preconditioned iterative solution methods for large-scale nonsymmetric problems
Sammanfattning : We study robust, preconditioned, iterative solution methods for large-scale linear systems of equations, arising from different applications in geophysics and geotechnics.The first type of linear systems studied here, which are dense, arise from a boundary element type of discretization of crack propagation in brittle material. LÄS MER