We consider the problem of numerical integration of a function over a discrete surface to high-order accuracy. Surface integration is a common operation in numerical computations for scientific and engineering problems. Integration over discrete surfaces (such as a surface triangulation) is typically limited to only first or second-order accuracy due to the piecewise linear approximations of th...

We consider a new fictitious domain approach of higher order accuracy. To implement Dirichlet conditions we apply the classical Nitsche method combined with a facet-based stabilization (ghost penalty). Both techniques are combined with a higher order isoparametric finite element space which is based on a special mesh transformation. The mesh transformation is build upon a higher order accurate ...

The finite element method is applied in the time domain to establish formulations for the integration of first-order and parabolic (transient) problems. The modal decomposition concept is applied using two distinct approaches. The first is based on modal decomposition in the space domain to recover the well-established method for uncoupling the parabolic system of equations. To overcome the lim...

In this paper, we describe a new hybrid method which combines the boundary element method (BEM) and the nite element method (FEM) to calculate the circuit models for layout dependent capacitances in VLSI circuits. The hybrid method which we present does more than solving a particular eld problem, it produces a good physical circuit model for the interface between the regions where the BEM and t...

In general dynamic analyses, lower mode response is of interest, however the higher modes of spatially discretized equations generally do not represent the real behavior and not affects to global response much. Some implicit algorithms, therefore, are introduced to filter out the high-frequency modes using intended numerical error. The objective of this study is to introduce the P-method and PC...

The finite element method is applied in the time domain to establish formulations for the integration of second-order and hyperbolic (dynamic) problems. Modal decomposition in the space domain is used to recover the well-established method for uncoupling the equations of motion, which is extended to include general time approximation bases. The limitations of this approach in the implementation...

A numerical method is presented for computing the time varying stresses in compressor flapper valves that have a flexible backer or stop. Valve and backer geometry are described by finite element models as are commonly produced by commercial finite element software. Mass and stiffness matrices are assembled into a second order system which is then solved by a direct numerical integration in a t...