UNIVERSITAT POLITÈCNICA DE CATALUNYA Tesi Doctoral

... even two orders of magnitude higher than for the PeC-MFLE(RWG,unxRWG), which is very stable in any case. For electrically bigger bodies, although one cannot assess it directly through the tables -the required amount of memory to compute the condition number is too big-, one can accordingly infer tha ...

... even two orders of magnitude higher than for the PeC-MFLE(RWG,unxRWG), which is very stable in any case. For electrically bigger bodies, although one cannot assess it directly through the tables -the required amount of memory to compute the condition number is too big-, one can accordingly infer tha ...

A finite element analysis of critical state models for type

... penalty method which approximates the non-smooth energy with a smooth energy so that the electric field -current relation is monotone and single valued. The curl free constraint on the magnetic field in the nonconductive region coming from the eddy current model can be handled by introducing a magne ...

... penalty method which approximates the non-smooth energy with a smooth energy so that the electric field -current relation is monotone and single valued. The curl free constraint on the magnetic field in the nonconductive region coming from the eddy current model can be handled by introducing a magne ...

Fast Frequency and Time Domain Integral Equation Modelling for Marine CSEM Applications

... (2006a), Harris et al. (2009), Gao et al. (2010) and DellAversana et al. (2011)). Furthermore, CSEM is a good option for frontier exploration into deep waters because deep water drilling is very expensive. Marine CSEM methods also have potential reservoir monitoring applications. As with oil and gas ...

... (2006a), Harris et al. (2009), Gao et al. (2010) and DellAversana et al. (2011)). Furthermore, CSEM is a good option for frontier exploration into deep waters because deep water drilling is very expensive. Marine CSEM methods also have potential reservoir monitoring applications. As with oil and gas ...

# Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.