Browsing by Author "Süli, Endre"
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- ItemAdaptive Numerical Methods for PDEs(Zürich : EMS Publ. House, 2007) Süli, Endre; Verfürth, RüdigerThis collection contains the extended abstracts of the talks given at the Oberwolfach Conference on “Adaptive Numerical Methods for PDEs”, June 10th - June 16th, 2007. These talks covered various aspects of a posteriori error estimation and mesh as well as model adaptation in solving partial differential equations. The topics ranged from the theoretical convergence analysis of self-adaptive methods, over the derivation of a posteriori error estimates for the finite element Galerkin discretization of various types of problems to the practical implementation and application of adaptive methods.
- ItemAnisotropy in wavelet based phase field models(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) Korzec, Maciek; Münch, Andreas; Süli, Endre; Wagner, BarbaraAnisotropy is an essential feature of phase-field models, in particular when describing the evolution of microstructures in solids. The symmetries of the crystalline phases are reflected in the interfacial energy by introducing corresponding directional dependencies in the gradient energy coefficients, which multiply the highest order derivative in the phase-field model. This paper instead considers an alternative approach, where the anisotropic gradient energy terms are replaced by a wavelet analogue that is intrinsically anisotropic and linear. In our studies we focus on the classical coupled temperature
- ItemDiscontinuous Galerkin Methods(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 2002) Schwab, Christoph; Süli, Endre[no abstract available]
- ItemMathematical Aspects of Computational Fluid Dynamics(Oberwolfach-Walke : Mathematisches Forschungsinstitut Oberwolfach, 2003) Rannacher, Rolf; Süli, Endre[no abstract available]
- ItemNew Discretization Methods for the Numerical Approximation of PDEs(Zürich : EMS Publ. House, 2015) Kutyniok, Gitta; Stevenson, Rob; Süli, EndreThe construction and mathematical analysis of numerical methods for PDEs is a fundamental area of modern applied mathematics. Among the various techniques that have been proposed in the past, some – in particular, finite element methods, – have been exceptionally successful in a range of applications. There are however a number of important challenges that remain, including the optimal adaptive finite element approximation of solutions to transport-dominated diffusion problems, the efficient numerical approximation of parametrized families of PDEs, and the efficient numerical approximation of high-dimensional partial differential equations (that arise from stochastic analysis and statistical physics, for example, in the form of a backward Kolmogorov equation, which, unlike its formal adjoint, the forward Kolmogorov equation, is not in divergence form, and therefore not directly amenable to finite element approximation, even when the spatial dimension is low). In recent years several original and conceptionally new ideas have emerged in order to tackle these open problems. The goal of this workshop was to discuss and compare a number of novel approaches, to study their potential and applicability, and to formulate the strategic goals and directions of research in this field for the next five years.
- ItemSelf-Adaptive Methods for PDE(Zürich : EMS Publ. House, 2004) Süli, Endre; Verfürth, Rüdiger[no abstract available]