Upwind finite element solution for saturated travelling magnetic field problems.

Finite element solution of quasistationary nonlinear magnetic field

The computation oj quasistalionary nonhnear two-dimensional magnetic jield leadslo thejollowingproblem There is given a bounded domain Q and an open nonempty set R <= Q We are looking jor the magnetic vectorpotentialu(xu x2, t) which satisjies 1) a certain nonhnear parabolic équation and_an initial condition in R , 2) a nonhnear elhptic équation in S ~ O. — R which is the stationary case of the...

Least-Squares Mixed Finite Element Solution of Variably Saturated Subsurface Flow Problems

A least-squares mixed nite element formulation is applied to the nonlinear elliptic problems arising in each time-step of an implicit Euler discretization for variably saturated ow problems. This approach simultaneously constructs approximations to the ux in Raviart-Thomas spaces and to the hydraulic potential by standard H 1-conforming linear nite elements. Two important properties of the leas...

Finite Element Analysis of Stationary Magnetic Field

Finite element models for the solution of underwater acoustics problems

Acoustic waves are used in SONAR systems for the detection and classification of objects which may be swimming in the water column, proud on the seafloor, or buried below the sediment. In some applications, such as low frequency detection and classification of structurally complex objects immersed in a fluid, signal processing techniques must be aided by a-priori model based knowledge of the ta...

Solution of Harmonic Problems with Weak Singularities Using Equilibrated Basis Functions in Finite Element Method

In this paper, Equilibrated Singular Basis Functions (EqSBFs) are implemented in the framework of the Finite Element Method (FEM), which can approximately satisfy the harmonic PDE in homogeneous and heterogeneous media. EqSBFs are able to automatically reproduce the terms consistent with the singularity order in the vicinity of the singular point. The newly made bases are used as the compliment...