Geometric Partial Differential Equations - Part I

<p>1. Finite element methods for the Laplace-Beltrami operator<br>Andrea Bonito, Alan Demlow and Ricardo H. Nochetto<br>2. The Monge–Ampère equation<br>Michael Neilan, Abner J. Salgado and Wujun Zhang<br>3. Finite element simulation of nonlinear bending models for thin elastic rods and plates<br>Sören Bartels<br>4. Parametric finite element approximations of curvature-driven interface evolutions<br>John W. Barrett, Harald Garcke and Robert Nürnberg<br>5. The phase field method for geometric moving interfaces and their numerical approximations<br>Qiang Du and Xiaobing Feng<br>6. A review of level set methods to model interfaces moving under complex physics: Recent challenges and advances<br>Robert I. Saye and James A. Sethian<br>7. Free boundary problems in fluids and materials<br>Eberhard Bänsch and Alfred Schmidt<br>8. Discrete Riemannian calculus on shell space <br>Behrend Heeren, Martin Rumpf, Max Wardetzky and Benedikt Wirth</p>