TY  - THES
A3  - Suttmeier, Franz-Theo
AB  - In this work we deepen our studies on the numerical FE-treatment of systems of partial differential equations, where the solution is subjected to inequality constraints. Especially we focus on Lagrange-settings, which can be employed to handle the given constraints. In this way additional auxiliary variables are introduced which are determined simultaneously to the original primal solution within a so-called mixed system.
On this basis efficient solution processes for the mixed systems are constructed by eliminating inequality constraints yielding nonlinear equation systems. These can easily be solved by (non-smooth) Newton-type schemes. Furthermore concepts for a posteriori error control are reviewed and refined.
AU  - Garanza, Andrej
DA  - 2020
DO  - 10.25819/ubsi/10001
KW  - Finite-Elemente-Methode
KW  - Numerical FE-treatment
KW  - Partial differential equations
KW  - Inequality constraints
LA  - eng
PY  - 2020
TI  - Mixed FE-models for variational inequalities
TT  - Gemischte FE-Modelle für variationele Ungleichungen
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:467-19907
Y2  - 2024-10-30T21:51:44
ER  -