Hamburger Beiträge zur Angewandten Mathematik

Hamburger Beiträge zur Angewandten Mathematik Continuous Convergence of Relations - A Principle in Discretization Procedures

Hamburger Beiträge zur Angewandten Mathematik Variational Discretization of Lavrentiev - Regularized State Constrained Elliptic Control Problems

In the present work, we apply a variational discretization proposed by the first author in [14] to Lavrentiev-regularized state constrained elliptic control problems. We extend the results of [18] and prove weak convergence of the adjoint states and multipliers of the regularized problems to their counterparts of the original problem. Further, we prove error estimates for finite element discret...

Hamburger Beitrage zur Angewandten Mathematik An Asymptotic-Induced One-Dimensional Model to Describe Fires in Tunnels

Hamburger Beiträge zur Angewandten Mathematik

We consider a simplified accoustic model to describe nonlinear phenomena occuring in loudspeakers. The simplification is that we restrict to the one–dimensional isentropic Euler equations in a slab, where on the right end a membrane is moving periodically with frequency ω and maximal displacement ε œ 1. The asymptotic model based on the small parameter ε yields hyperbolic first order systems, w...

Hamburger Beitrage zur Angewandten Mathematik Beyond Montonicity in Regularization Methods for Nonlinear Complementarity Problems

Regularization methods for the solution of nonlinear complementarity problems are standard methods for the solution of monotone complementarity problems and possess strong convergence properties. In this paper, we replace the monotonicity assumption by a P0-function condition. We show that many properties of regularization methods still hold for this larger class of problems. However, we also p...