Publications

2015:

• B. Müller, G. Starke. Stress-based finite element methods in linear and nonlinear solid mechanics. To appear in Advanced Computational Engineering (Jörg Schröder, Peter Wriggers, eds.), CISM Courses and Lectures, Springer-Verlag

2014:

• B. Müller, G. Starke, A. Schwarz, and J. Schröder. A First-Order System Least Squares Method for Hyperelasticity. SIAM Journal on Scientific Computing, Vol. 36, No. 5 (2014), pp. B795 - B816

Contributed Talks

2015:

• A First-Order System Least Squares Method for Signorini Contact Problems (November 2015, 2nd Workshop on Minimal Residual and Least Squares Finite Element Methods in Delft, Holland)
• First-order system least squares finite elements for finite elasto-plasticity (Subtitle: Elastic subproblem and small-strain plasticity, August 2015, DFG SPP 1748 Annual Meeting 2015 in Hamburg, Germany)
• First-Order System Least Squares for Isotropic and Anisotropic Materials in Hyperelasticity (March 2015, SIAM Conference on Computational Science and Engineering in Salt Lake City, USA)

2014:

• Mixed Least Squares Finite Element Methods Based on Inverse Stress-Strain Relations in Hyperelasticity (September 2014, MORE Conference 2014 in Liblice, Czech Republic)
• Mixed Least Squares Finite Element Methods for Geometrically Nonlinear Hyperelasticity (April 2014, 13th Copper Mountain Conference on Iterative Methods , USA)
• Mixed Least Squares Finite Element Methods for Geometrically Nonlinear Hyperelasticity (March 2014, 85th Annual Meeting of GAMM in Erlangen, Germany)

2013:

• Mixed LSFEM for geometrically and physically nonlinear elasticity problems
  (September 2013, 26th Chemnitz FEM Symposium 2013, Germany)
• LSFEM for Geometrically and Physically Nonlinear Elasticity Problems (August 2013, Equadiff 13 in Prague, Czech Republic)
• A least squares finite element method for hyperelastic materials (July 2013, AANMPDE Workshop 2013 in Strobl, Austria)
• LSFEM for geometrically and physically nonlinear elasticity problems (June 2013, Mafelap 2013 in London, Great Britain)

2012:

• Stress-Displacement formulations for hyperelastic materials [Least-Squares Finite Element Method and Gauss-Newton iteration] (September 2012, XII GAMM Workshop on Applied and Numerical Linear Algebra in Liblice, Czech Republic)
• A stress-displacement first-order system least squares method for hyperelasticity (June 2012, Workshop "Least Squares Finite Elements in Fluid and Solid Mechanics" in Hanover, Germany)
• Least-Squares FEM for nonlinear elasticity problems (March 2012, 12th Copper Mountain Conference on Iterative Methods , USA)

Dissertation

• B. Müller. Mixed Least Squares Finite Element Methods Based on Inverse Stress-Strain Relations in Hyperelasticity. (2015)