538 citations
- University of EdinburghGB577 papers
- Heriot-Watt UniversityGB436 papers
- Pennsylvania State UniversityUS35 papers
- University of CambridgeGB31 papers
- Centre National de la Recherche ScientifiqueFR30 papers
- University of SurreyGB30 papers
- Imperial College LondonGB24 papers
- KTH Royal Institute of TechnologySE22 papers
- University of OxfordGB21 papers
- Leibniz University HannoverDE20 papers
- Charles UniversityCZ19 papers
- ETH ZurichCH14 papers
7 papers · 2 filters
hp-version time domain boundary elements for the wave equation on quasi-uniform meshes
Heiko Gimperlein, Ceyhun Oezdemir, David Stark +1
Solutions to the wave equation in the exterior of a polyhedral domain or a screen in exhibit singular behavior from the edges and corners. We present quasi-optimal $…
On a preconditioner for time domain boundary element methods
Heiko Gimperlein, David Stark
We propose a time stepping scheme for the space-time systems obtained from Galerkin time-domain boundary element methods for the wave equation. Based on extrapolation, the method p…
Space-time adaptive finite elements for nonlocal parabolic variational inequalities
Heiko Gimperlein, Jakub Stocek
This article considers the error analysis of finite element discretizations and adaptive mesh refinement procedures for nonlocal dynamic contact and friction, both in the domain an…
Preconditioners and Tensor Product Solvers for Optimal Control Problems from Chemotaxis
Sergey Dolgov, John W. Pearson
In this paper, we consider the fast numerical solution of an optimal control formulation of the Keller--Segel model for bacterial chemotaxis. Upon discretization, this problem requ…
Efficient high order algorithms for fractional integrals and fractional differential equations
Lehel Banjai, María López-Fernández
We propose an efficient algorithm for the approximation of fractional integrals by using Runge--Kutta based convolution quadrature. The algorithm is based on a novel integral repre…
Time domain boundary elements for dynamic contact problems
Heiko Gimperlein, Fabian Meyer, Ceyhun Oezdemir +1
This article considers a unilateral contact problem for the wave equation. The problem is reduced to a variational inequality for the Dirichlet-to-Neumann operator for the wave equ…