Generalized finite element methods have proved a great potential in the mesh-independent modeling of both weak and strong discontinuities, such as the ones encountered when treating materials with inclusions or cracks. By removing the constraint of a conforming mesh, more freedom is offered to modeling exact geometries by means of splines. However, very few studies have been published which com...

When multilevel finite element spaces are not nested, different intergrid transfer operators would lead to different multigrid algorithms. It is proposed in this paper that discontinuous functions be averaged to continuous functions and that the bubble functions be discarded in the multigrid transferring. Applications of the techniques to various problems are presented with convergence analysis...

Sasan Mahmoodi Email: [email protected], Tel: +44 (0) 23 8059 3284, Fax: +44 (0) 23 8059 4498 Abstract: A nonlinear method based on anisotropic diffusion notion is proposed in this paper to remove noise from noisy signals modulated with multiple carrier signals by preserving carrier signals as well as discontinuities present in the original noiseless signals. Gaussian and correlated noise con...

Heat extraction from deep, hot rocks for energy production is based on water circulation through a man made fracture or natural fractures. As multiple and non-planar fractures in a stress field affect the geothermal reservoir behavior, so the capability to simulate multiple fractures and joints is needed to help reservoir design and operation. A 3D model is developed in this work to simulate an...

The study of rock fractures is essential in evaluating stability of underground structures, understanding earthquakes, and assessing storage and transport of oil and gas in rock formations. Geophysical monitoring techniques, particularly compressional and shear wave propagation, can probe the internal structure of rock and fractures remotely and nondestructively and can provide insight into fra...

The nite element method is now well established as a robust and reliable numerical technique in many areas of solid mechanics. There are however problems where the use of the nite element method is cumbersome like the modeling of moving discon-tinuities due to the need to update the mesh to match the geometry of the discontinuity. Even for stationary cracks, in three-dimensional solids, contsru...