Prof. Dr. Ralf Hiptmair:

Student Projects and Theses

(Semester- und Diplomarbeiten, Bachelor & Master Projects)

Available Student Projects

Master thesis (MATH): Conververgence theory for hp-edge-BEM on anisotropic meshes
Master thesis (MATH): Helmholtz solver based on Lippman-Schwinger integral equation
Bachelor thesis (MATH/CSE): PUM Based Wave Ray Multigrid
Master thesis (MATH): Fourier spectral multi-trace formulation with inexact sub-domain representation
Master thesis (CSE/Appl Math.): Calder\'on preconditioners for acoustic and electromagnetic boundary element methods in 3D
Master thesis (MATH): Spectral lumping for discrete polar coordinates
Master thesis (MATH,CSE): Simulation of non-local electrostatic effects
Master thesis (MATH): Least Squares Based A-posteriori Error Estimators
Master thesis (MATH,CSE): Cut-off disk technique for 2D boundary element methods
Master thesis (MATH,CSE): Treatment of interfaces in the context of Trefftz DG methods
Bachelor/Master thesis (MATH): Coupling of boundary elements and discontinuous Galerkin methods
Term project: (MATH,CSE) Dispersion analysis of high-order schemes for the 1D wave equation,
Bachelor thesis (MATH): Edge elements on non-conforming meshes
Master/Bachelor thesis (MATH): Solving Dirichlet problems with low regularity boundary data
Bachelor thesis (MATH): Convergence of discrete rope models
Bachelor thesis (MATH,CSE): hp-spline approximation in one dimension: numerical study
Bachelor thesis (MATH): Spectral approximation properties of splines and NURBS: theory and numerical study
Bachelor thesis (MATH/CSE): Directional preconditioning for plane-wave discontinuous Galerkin method
Master thesis (MATH): A priori error analysis for truncated T-matrix method for multiple scattering
Master thesis (MATH): Convergence of the null field method for sound-soft scattering
Term project (MATH): Consistent penalization of essential boundary conditions

Note: Most projects are suitable for both students of mathematics andcomputational science and engineering.

A successful diploma project/term project involves:

A written report covering a description of the problem, details of the mathematical and numerical techniques, a thorough account of all results, and an assessment of the findings (for term projects this report can be rather brief, for diploma projects it should meet the requirements for a scientific publication).
An oral presentation (15-45 min): Term projects for students of CSE will be presented in the lecture series "Fallstudien". Term projects of students of other subjects will be presented at SAM. Slides for the presentation should be prepared electronically. To create slides with LaTeX use the Beamer package.
A well documented code provided with a wrapper that assists in re-conducting all the numerical/computational experiments.

MSc thesis (CSE): Grad-div Regularized Boundary Integral Equations for Electromagnetics, assigned to Nader Ganaba
BSc thesis (Math): Periodic solutions of non-linear parabolic PDEs, assigned to Jovana Mitrovic
BSc thesis (Math): Modulated Fourier Expansion Method for ODEs with oscillatory solutions, assigned to Ambra Toletti
Term project (Appl. Math): Separable approximation of modulated wave kernels, Johanna Ridder, started October 2011
Term project (MSc RW/CSE): Boundary Treatment by Nitsche Penalization , Shubham Gupta, started October 2011, ongoing
Term project (MSc RW/CSE): Auxiliary Space Preconditioning for Interior Penalty Discontinuous Galerkin Discretization of H(curl)-elliptic boundary value problems, Ilias Nikolakopoulos, started April 2011, ongoing
Term project (Appl. Math.): Scattering from raindrops started March 2011, Orane Jecker, co-supervised with C. Jerez-Hanckes, ongoing
Master thesis project (MATH): Second-Kind Single Trace Boundary Integral Equations, Elke Spindler, started Oct 1, 2011
Master thesis project (MATH): Second-kind boundary integral equation methods for acoustic scattering at composite objects, Elke Spindler, beginning in September 2011.
Term paper project (CSE): Stabilized Maxwell Formulation with Impedance Boundary Conditions, Raffael Casagrande, beginning in October 2011.
Term project (MSc Appl Math): Discretizations of eigenvalue problems for the curl-operator, Vladislav Ustinov, beginning in November 2011.

Finished Student Projects

Term project (Seminararbeit): Mixed implicit timestepping for micromagnetism
Investigated by Philippe Corboz (PHYS). Final presentation: 29.10.2003, report,slides, movie
Term project (Seminararbeit): Numerische Simulation eines rotationssymmetrischen Wirbelstromproblems
Investigated by Daniel Leumann (PHYS). Final presentation: 29.10.2003, report,slides
Term project (Semesterarbeit): Reduced Order Modelling for Complex Eigenvalue Problems
Investigated by Mr. Timur Kemal Aka (CSE). Final presentation: 4.12.2003, report
Term project (Seminararbeit): Schiessverfahren fuer zeitperiodisches parabolisches Problem
Investigated by Fabian Stoeckli (PHYS). Final presentation: 29.10.2003, report
Diploma project (Diplomarbeit): Auxiliary Space Method for Edge Elements
Gisela Widmer (CSE), Diploma thesis
Diploma project (Diplomarbeit): A Discontinuous Galerkin Scheme for Elastic Waves in Nearly Incompressible Materials
Christoph Winkelmann (CSE), Diploma thesis
Term project (Semesterarbeit): Transient Simulation of Eddy Currents in Ferromagnets
Manuel Guidon (CSE), Report, Slides
Term project (Semesterarbeit): Simulation einer magnetischen Rastertunnelmikroskopspitze,
Emmanuel Gull (PHYS), Report
This term project was supervised by Kersten Schmidt
Term project (Semesterarbeit): Angle condtions for edge and face elements
Mathias Hack (CSE), Report
Term project (Semesterarbeit): Finding weakly equivalent minimal sub-complexes by cell deletions
Jan Kayatz (MATH), Report
Term project (Semesterarbeit): Hash based data structures for tetrahedral meshes
Investigated by Christoph Bossard (CSE), report
Term project (Semesterarbeit): Parallel numerical schemes for harmonic map heat flow
Jointly assigned to Gian-Marco Baschera and Nicolas Hodler (CSE), Report, Slides1
Diplomarbeit (CSE): Quadtree techniques for the construction of structured auxiliary meshes
Submitted by Julien Renggli (CSE), Diploma thesis
Diplomarbeit (MATH): Asymptotic method for electrostatic force calculation
Submitted by Oliver Pfeifer (MATH), Diploma thesis
Diplomarbeit (MATH): Algorithmic aspects of collapes/anticollapes in simplicial complexes
investigates by Jan Kayatz, Diploma thesis
Term project Urs Zellweger (PHYS): Solution of the wave equation with spectral Galerkin and leapfrog, Report
Bachelor thesis Claude Gittelson (MATH): Non-equidistant approximate DFT based on Z-Splines, Thesis
Term project (PHYS):S. Walter (supervised by T. Dohnal) Non-uniform finite difference approximations of the 1D coupled mode equations, Report
Bachelor thesis by Anders Skajaa (Bsc MATH) Space-time discontinuous Galerkin methods for the wave equation , thesis,slides
Term project: Christos Varsakelis (Msc MATH) Interface Approximation and Finite Element Error Estimates, report
Term project by Nisha Kannookadan (Msc CSE): Discretization of Linear Dirac Equations in 1D, Report.
Diplomarbeit of Simone Riva (Dipl. CSE): Computation of electrostatic forces by the virtual work method, Thesis.
Master Thesis of Claude Gittelson (Msc Math)): Discontinuous plane wave multigrid, Thesis
Master thesis (MSc Math.) of Franz Piehler (MSc Math): Boundary element discretization of asymptotic layer models
Thesis, codes
Term project (MATH): Approximation by harmonic polynomials, Andrei Pethukov, started September 2009, finished Feb 2010, report
Master thesis project (RW/CSE):

Scalable eddy-current solver for ANSYS

Stefan Siebenmann

thesis

Term project (CSE): Fast solvers for Eulerian advection schemes, Andreas Hiltebrand, started Feb 2010, finished July 2010, report, slides
Bachelor thesis (MATH): A a-posteriori error estimators for hp-FEM: Implementation and Comparison, Elke Spindler, started Feb 2010, finished July 2010, thesis.
Term project (MATH): Discontinius Galerkin discretization of magnetic convection, Jonas Sukys, started Feb 2010, finished July 2010, Report
Bachelor thesis (CSE):Algorithms for non-adiabatic transitions with one-dimensional wavepackets,Raoul Bourquin, started March 2010, finished September 2010, Thesis (supervised by Dr. Vasile Gradinaru)
Master thesis project (RW/CSE): Resolution of Skin Layers in EM Simulation (joint project with ABB Corporate Research, Baden) Michael Spreng, started September 2009, finished February 2010, thesis
Bachelor thesis (RW): Implementation of a c++ library for data exchange with MATLAB, Andrea Artega, started Feb 2010, finished September 2010, Thesis (supervised by R. Andreev)
Bachelor thesis project (CSE): Duality based error estimates for electromagnetic force computation, Simon Pintarelli, finished May 2010, slides, thesis
Term project (MATH): Impedance Boundary Conditions in Time Domain, Albert Paganini, started September 2010, finished February 2011, report
Term project (MATH): Coupling of discontinous {G}alerkin and conforming nodal element for the curl-curl operator in R2, Chak Shing Lee (exchange student from CUHK), September-December 2010, report
Master thesis project (MSc Finance): Computationally efficient implicit timestepping for option pricing
, Erwan Croguennoc, started November 2010, finished March 2011, Thesis
Term project (MSc CSE): Spurious solutions of transient Maxwell's equations,
Anders Rosero, started in September 2009, finished April 2011, report.
Master thesis project (MATH): Efficient convolution based impedance boundary conditions, Albert Paganini, finished August 2011, Thesis
BSc thesis project (BSc CSE): Subspace correction methods for elliptic eigenproblems
, Robert Gantner, finished September 2011, BSc thesis
Term project (MSc CSE, supervised by Dr. V. Gradinaru, SAM): Spawning of wave-packets in 1D non-adiabatic transitions
Raoul Bourquin, finished September 2011, paper
Term paper (MSc Appl. Math.), supervised by Prof. Dr. S. Mishra: Optimal Control for Nonlinear Conservation Laws in the Presence of Shocks, Franziska Weber, finished October 2011, Report.pdf

Ralf Hiptmair, SAM, ETHZ, 26-7-2007