Abstract: The discrete maximum principle (DMP) is an important qualitative property of various discretized elliptic equations. Conditions that ensure the DMP have drawn much attention, including geometric properties for FEM discretizations. This chapter starts with a brief summary of some

the number of unknowns and computational resources for a given (high) accuracy when compared to low-order smalldomain solutions. However, these advantages become evident and convincing only if the large-domain FEM approach is carefully planned and implemented. This paper addresses several numerical aspects

ABSTRACT The scaled boundary finite-element method (SBFEM) is a novel semi-analytical approach, with the combined advantages of both finite-element and boundary-element methods. The basic idea behind SBFEM is to discretize the surface boundary by FEM and transform the governing partial

Summary. This paper uses the ctitious boundary method described in [1] for the solution of incompressible ow with moving rigid bodies in complex geometries. The method is based on a special treatment of Dirichlet boundary conditions inside of a FEM approach in the context of a hierarchical

] in which the FEM approximation is proposed and computable a posteriori error estimates provided. The discretization error as well as the regularization error are therein considered following a technique that was used in [5] in the "non--mixed" case. The paper outline is as follows: we present

We present an alternative approach to the adaptive mesh refinement. It is based on the knowledge of singularity near the corner. For steady Navier-Stokes equations we proved in [1] that for nonconvex internal angles the velocities near the corners possess an expansion u(ρ, ϑ) = ργϕ(ϑ) +... (+ smoother terms), where ρ, ϑ are local spherical coordinates.

The acoustic behavior of technical products is predominantly defined in the design stage, although the acoustic characteristics of machine structures can be analyze and give a solution for the actual products and create a new generation of products. The paper describes the development of the noise

Dedicated to Richard S. Varga on the occasion of his 80th birthday Abstract. Discrete maximum principles are established for nite element approximations of nonlinear parabolic problems. The conditions on the space and time discretizations are similar to the usual conditions for linear problems. Key words. nonlinear parabolic problems, discrete maximum principle, nite element method AMS subject classications. 65M60, 65M50, 35B50

-axis directions. S-parameters can compute by using integral expressions of S11 and S12 can be derived from FEM solution of two dimensional Helmholtz equation and numerical results are tabulated and compared.

solution of the Ã-! equations with explicit viscous diffusion1