120667836
Characterization of certain polytopes by intersection properties of their translates
122254313
On the projections of a convex polytope
120014020
Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations
SummaryWe consider a spline collocation method for strongly elliptic zero order pseudodifferential equationspgwAu=f on a cube ω=(0, 1)m. Utilizing multilinear spline functions which are zero at the boundary σω we collocate at the meshpoints inside ω. For classical strongly elliptic translation invariant pseudodifferential operators, we verify the stability of the considered collocation method inL2(ω). Afterwards, form≦2 and a right hand sidef∈H8(ω),s>m/2, we prove an asymptotic convergence estimate.