We consider a control volume(covolume) method for second order elliptic PDEs with the rotated-Q1 nonconforming finite element on rectangular grids. The coefficient may a variable,...
The mortar technique turns out to be well adapted to handle mesh adaptivity in finite elements, since it allows for working with nonnecessarily compatible discretizations on the el...
In this work, we introduce new finite-difference shock-capturing central schemes on staggered grids. Staggered schemes may have better resolution of the corresponding unstaggered ...
We present a new method to simulate optical waves in large geometries. This method is based on newly developed finite elements, so-called Trigonometric Finite Wave Elements (TFWEs)...
Wave scattering by an array of bodies that is periodic except for a finite number of missing or irregular elements is considered. The field is decomposed into contributions from a...