Refine
Document Type
- Conference Proceeding (4)
- Article (1)
- Doctoral Thesis (1)
- Habilitation (1)
Institute
Keywords
- Diskrete Fourier-Transformation (2)
- discrete fundamental solution (2)
- Angewandte Informatik (1)
- Angewandte Mathematik (1)
- Building Information Modeling (1)
- Cauchy-Riemannsche Differentialgleichungen (1)
- Computerunterstütztes Verfahren (1)
- Data, information and knowledge modeling in civil engineering; Function theoretic methods and PDE in engineering sciences; Mathematical methods for (robotics and) computer vision; Numerical modeling in engineering; Optimization in engineering applications (1)
- Differenzengleichung (1)
- Differenzenpotentiale (1)
This paper presents numerical analysis of the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice. Additionally, to provide estimates in interior and exterior domains, two different regularisations of the discrete fundamental solution are considered. Estimates for the absolute difference and lp-estimates are constructed for both regularisations. Thus, this work extends the classical results in the discrete potential theory to the case of a rectangular lattice and serves as a basis for future convergence analysis of the method of discrete potentials on rectangular lattices.