Publications, preprints, tech. reports
Please note that the downloads are preprint versions (I do not have the copyright for the published papers).
- Numerische Existenzbeweise für schwache Lösungen nichtlinearer elliptischer Randwertaufgaben, Dissertation Köln 1994
- Bounds for the N lowest eigenvalues of fourth-order boundary value problems
- Inclusion methods for weak solutions of elliptic boundary value equations and its application on the Bratu problem
- A parallel Newton multigrid method for high order finite elements and its application on numerical existence proofs for elliptic boundary value equations
- A numerical existence proof of nodal lines for the first eigenfunction of the plate equation
- An explicit formular for the inverse of the Hilbert matrix
- Numerical enclosures for stable solutions of the Navier-Stokes equation
- Positive solutions of the Bratu problem in non-convex domains
- Adaptive multigrid methods for finite elements
- Multigrid solution for mixed finite elements in elasticity
- Error bounds and error indicators for finite elements
- Multigrid methods for Prandtl-Reuss plasticity
- Robust multigrid methods for elasticity
- Orthogonal projections in plasticity
- Efficient elastoplastic simulation
- Theorie und Numerik der Prandtl-Reuss-Plastizität,Habilitation Heidelberg 2000
- Multigrid methods for plasticity at finite strains
- Local multigrid methods on hierarchical meshes
- Dual error estimates for polygonal approximations of curved boundaries
- Taylor-Hood elements in 3D
- Distributed Point Objects. A New Concept for Parallel Finite Elements
Joint works with P. Bastian, S. Lang, K. Birken, K. Johannson
- UG - A software tool for solving partial differential equations
- A Parallel Software-Platform for Solving PDE Problems
- Parallel Solutions of Partial Differential Equations with Adaptive Multigrid Methods on Unstructured Grids
- Advances in High-Performance Computing
- Parallel multigrid methods for problems in nonlinear solid mechanics
Joint works with B. Wohlmuth
- The coupling of mixed and conforming finite elements
- Multigrid methods for mortar finite elements
- Duality estimates and multigrid analysis for saddle point problems arising from mortar discretizations
Joint work with D. Braess and W. Dahmen
Joint works with M. Plum et. al.
- Eigenvalue inclusions via domain decomposition
- Optimal a priori estimates for interface problems
- New solutions of the Gelfand problem
Joint work with N. Neuss
Joint work with M. Ammann, S. Diebels, W. Ehlers
- Parallel 3-d simulations for porous media models in soil mechanics
- Distributed Point Objects: A new concept for parallel finite elements applied to a geomechanical problem
Joint work with P. Neff
For any further questions, please contact me by wieners@math.uni-karlsruhe.de.