In this work, we analyze an unfitted discontinuous Galerkin discretization for the numerical solution of Stokes system based on equal higher-order velocities and pressures. This approach combines best from both worlds, firstly advantages a piece-wise high–order accurate approximation secondly to true geometry grid around possibly complex objects and/or geometrical deformations. Utilizing fictit...

With the increasing use ofprefabricated vertical drains in the improvement of soft clay there are many types of these drains, both composite (with geotextile wrapping) and monolithic (without geotextile wrapping), available in Malaysia. Some engineers have the impression that all drains perform satisfactorily. However, case studies have shown that there are cases where vertical drains failed to...

Thin and slender structures are widely occurring both in nature and in human creations. Clever geometries of thin structures can produce strong constructions while requiring a minimal amount of material. Computer modeling and analysis of thin and slender structures have their own set of problems, stemming from assumptions made when deriving the governing equations. This thesis deals with the de...

In this study, a 3D numerical modelling of a single vertical drains consolidation incorporating vacuum preloading considering both vertical and horizontal drainage is presented. The effects of nonlinear soil compressibility, varying permeability and vacuum pressure distribution along the drain are examined through the dissipation of average excess pore pressure and associated settlement. A sele...

We present a general paradigm for a posteriori error control and adap-tive mesh design in nite element Galerkin methods. The conventional strategy for controlling the error in nite element methods is based on a posteriori estimates for the error in the global energy or L 2-norm involving local residuals of the computed solution. Such estimates contain constants describing the local approximatio...

Summary When the FE method is applied to partial differential equations such as in solid mechanics only global a posteriori error estimates can be given. For the momentum balance equations in solid mechanics, however, also error estimates for local quantities of the approximate solution are possible based on the application of duality principles. Such dual methods suggested by Johnson/Hansbo ha...

Achieving stable, accurate, monotone and efficient (SAME) discrete approximate solution is of tremendous interest for convection-dominated computational fluid dynamics (CFD) applications. Recently, a non-linear SubGrid eMbedded (SGM) finite element basis was developed for generating multidimensional SAME solutions via the weak statement (WS). The theory confirms that only the Navier-Stokes diss...

Symmetric advective-di usive forms of the Stokes and incompressible Navier-Stokes equations are presented. The Galerkin least-squares method for advective-di usive equations is used for both systems and is related to other stabilized methods previously studied. The presentation reveals that the convergence analysis for advective-di usive equations, as applied before to a linearized form of the ...