Řešení biharmonického problému pro nekonečný klín. II.
We analyze residual and hierarchical a posteriori error estimates for nonconforming finite element approximations of elliptic problems with variable coefficients. We consider a finite volume box scheme equivalent to a nonconforming mixed finite element method in a Petrov–Galerkin setting. We prove that all the estimators yield global upper and local lower bounds for the discretization error. Finally, we present results illustrating the efficiency of the estimators, for instance, in the simulation...
We analyze residual and hierarchical a posteriori error estimates for nonconforming finite element approximations of elliptic problems with variable coefficients. We consider a finite volume box scheme equivalent to a nonconforming mixed finite element method in a Petrov–Galerkin setting. We prove that all the estimators yield global upper and local lower bounds for the discretization error. Finally, we present results illustrating the efficiency of the estimators, for instance, in the simulation...
Let be a complete noncompact manifold of dimension at least 3 and an asymptotically conic metric on , in the sense that compactifies to a manifold with boundary so that becomes a scattering metric on . We study the resolvent kernel and Riesz transform of the operator , where is the positive Laplacian associated to and is a real potential function smooth on and vanishing at the boundary.In our first paper we assumed that has neither zero modes nor a zero-resonance and showed...
We consider the 3D Schrödinger operator where , is a magnetic potential generating a constant magneticfield of strength , and is a short-range electric potential which decays superexponentially with respect to the variable along the magnetic field. We show that the resolvent of admits a meromorphic extension from the upper half plane to an appropriate Riemann surface , and define the resonances of as the poles of this meromorphic extension. We study their distribution near any fixed...