Lehrinhalte
Formulation of elliptic problems under constraints as e.g. obstacle and contact problems. Variational formulation and solution theory. Finite element discretization, a posteriori error estimation and algorithms for the solution of the discrete problem.
Literatur
Eck, Garcke, Knabner: Mathematische Modellierung, Springer 2008 ;
Rodrigues: Obstacle problems in mathematical physics, Elsevier 1987 ;
Bartels: Numerical Methods for Nonlinear Partial Differential Equations, Springer 2015 ;
Kikuchi, Oden: Contact problems in elasticity: a study of variational inequalities and finite element methods, SIAM 1988 ;
Glowinski: Numerical Methods for Nonlinear Variational Problems, Springer 1984.
Voraussetzungen
recommended: Basic knowledge in numerics for partial differential equations
Formulation of elliptic problems under constraints as e.g. obstacle and contact problems. Variational formulation and solution theory. Finite element discretization, a posteriori error estimation and algorithms for the solution of the discrete problem.
Literatur
Eck, Garcke, Knabner: Mathematische Modellierung, Springer 2008 ;
Rodrigues: Obstacle problems in mathematical physics, Elsevier 1987 ;
Bartels: Numerical Methods for Nonlinear Partial Differential Equations, Springer 2015 ;
Kikuchi, Oden: Contact problems in elasticity: a study of variational inequalities and finite element methods, SIAM 1988 ;
Glowinski: Numerical Methods for Nonlinear Variational Problems, Springer 1984.
Voraussetzungen
recommended: Basic knowledge in numerics for partial differential equations
Semester: Verão 2020