Thursday, November 16, 2023 - 16:05 in V2-210/216
Numerical approximation of nonlinear problems with orthotropic growth
A talk in the BI.discrete Workshop series by
Anna Balci from Bielefeld
| Abstract: |
Abstract. We consider the numerical approximation of variational problems
with orthotropic growth, that is those where the coercivity and growth con-
ditions may be different in each coordinate direction, and are encoded via a suitable $N$-function. Under realistic regularity assumptions we derive optimal
error estimates. These estimates depend on the existence of an interpolation
operator that is orthotropically stable. Over certain meshes we construct such
an operator. Numerical experiments illustrate and explore the limits of our
theory.
This talk is based on the joint work with Lars Diening and Abner Salgado.
Within the CRC this talk is associated to the project(s): A7, B3, B7 |
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