Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 8 of 8 for “"Parabolic problems"”.
-
Splitting schemes for nonlinear parabolic problems
… of splitting schemes when applied to nonlinear parabolic problems. These numerical methods are frequently used when a problem has a natural decomposition into two or more parts, as the computational cost may then be significantly decreased compared to other methods. There are two prominent …
-
Regularity results for some elliptic and parabolic problems
… partial differential equations of elliptic and parabolic type, and it collects some results obtained during the last three years under the supervision of Prof. Ugo Gianazza The first part concernes the study of singular porous medium type equations: we start proving H\"older regularity for …
-
Reduced-basis approximation a posteriori error estimation for parabolic partial differential equations
Modern engineering problems often require accurate, reliable, and efficient evaluation of quantities of interest, evaluation of which demands the solution of a partial differential equation. We present in this thesis a technique for the prediction of outputs of interest of parabolic partial …
-
Solving variable coefficient partial differential equations using the boundary element method.
… coefficient PDEs. The results of these test problems indicate that the DR-BEM is a promising method for solving elliptic variable coefficient PDEs. However, in some cases, such as problems in highly heterogeneous media, it is found that a large number of internal solution nodes are necessary …
-
A projected multigrid method for the solution of non-linear finite element problems on adaptively refined grids
… the efficient solution of nonlinear elliptic and parabolic partial differential equations and systems. A continuous Galerkin finite-element method is combined with locally adaptive mesh refinement and an optimal multigrid solver to achieve this efficiency. The novel contribution of this work lies …
-
Reduced-basis output bound methods for parametrized partial differential equations
… results are presented for: symmetric coercive problems (e.g. problems in conduction heat transfer), parabolic problems (e.g. unsteady heat transfer), noncoercive problems (e.g. the reduced-wave, or Helmholtz, equation), the Stokes problem (e.g flow of highly viscous fluids), and certain …
-
Efficient variable mesh techniques to solve interior layer problems
Singularly perturbed problems have been studied extensively over the past few years from different perspectives. The recent research has focussed on the problems whose solutions possess interior layers. These interior layers appear in the interior of the domain, location of which is difficult to …