„… finite element method is applied while solving the radiation field using computational fluid dynamic …” „… . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.2 Finite element method . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.2.1 Spatial …” „… Discrete Ordinate Method . . . . . . . . . . . 74 3.4.4 Benchmark analysis for participating media …”

„… spatial discretization of the body B using the finite element method (FEM) is described and the time …” „… the thermal field with the finite element method, a weak formulation of the heat conduction equation …” „… linear in the electric potential. 3.2 Finite element method The following section serves to summarize the …”

„… . 188 Bibliography [27] P.J. Coelho. Discrete-ordinate and finite volume methods. www.thermopedia. com …” „… element meshes: Application to coupled thermo-viscoelasticity. Computer Methods in Applied Mechanics and …” „… the finite element method for three-dimensional curved thin walled structures. International Journal …”

„… minimal residual method, which is typically known as GMRES-method. To begin with, the discrete nonlinear …” „… discretized by finite elements give rise to another simple but efficient method: The requested data can be …” „… high-order finite element methods in time see the aforementioned articles and also the literature cited …”

„… mechanical fields is carried out by means of the finite element method (FEM). Further, the ambient of the …” „… tools is the radiation field, which is discretized by the finite volume method (FVM). In this context …” „… conditions, the view factor method (VFM) is utilized. For a participating medium, however, the method of …”

„… formulate the further equations. In this thesis, the method of choice is the material or Lagrangian …” „… or volume elements dV of the reference configuration to the current configuration: d x = ∼Fd X …” „… surface elements from the reference to the current configuration is also known as Nanson’s formula. 2.1 …”

„… harmonics (P1-approximation), see Section 3.4.2, and the discrete ordinate method (fvDOM) described in …” „… discretized with ne = 12 high-order hexahedral finite elements that have a polynomial degree of p = 5. All …” „… solution is predicted by means of vector prediction methods so that the electric and thermal field are …”

„… maize was undertaken using discrete element method (DEM) in order to simulate harvesting process by a …” „… the discrete element method. Landtechnik 68(3) (2013) pp. 164-167. [9] Leblicq, T.; Smeets, B …” „… A new discrete element model (DEM) for maize Dipl.-Ing. Ádám Kovács, Prof. Dr.-Ing. István J …”

„… – Discrete Element Method) for the simulation of the separation process of grain and material other than …” „… Landtechnik LAND.TECHNIK Köln. [12] Ma, Z., Y. Li, and L. Xu (2015): "Discrete-element method simulation of …” „… . 5728-5770. [6] Lu, G., J.R. Third, and C.R. Müller (2015): "Discrete element models for non-spherical …”

„… of the development process, virtual methods based on the objective evaluation of vibration values …” „… can be used. This paper presents a method to objectively evaluate the driving comfort of an …” „… test methods. Accompanying the design process of a tractor, simulation models of these vehicles can …”

„… combine harvester cleaning devices Á. Kovács, A new discrete element model (DEM) for maize 211 I. J. Jóri …” „… developments, and technical concepts and methods as a foretaste of the firework of impressions at the …” „… , G. Kerényi F. Peters, Modelling method for analyzing grain harvesting concepts 219 H. Korte, R …”

„… .; Dau, G.; Ripperger, S.: Using the Discrete Element Method for Predicting the Mixing Behavior of …” „… Diskrete-Elemente-Methode (DEM) ist eine numerische Methode, mit der das Verhalten einer Ansammlung von Partikeln …” „… der Diskrete-Elemente-Methode (DEM) Die Diskrete-Elemente-Methode (DEM) ist eine numerische Methode …”

„… Estimation with the Discrete Element Method The above mentioned problems with the experimental determination …” „… models. The discrete element method [8] can be used to determine parameters needed by the empirical or …” „… element method (DEM) was proposed [8]. This approach considers the properties of solids materials …”

„… preference methods. Besides the contingent valuation method, an increasing share of studies utilize Discrete …” „… ): 311-330. TRAIN, K.E. (2009): Discrete choice methods with simulation. 2nd Edition. Cambridge University …” „… specifications for interpreting the results of discrete choice experiments when investigating heterogeneous …”

„… interface BEM Boundary element method BMWi Bundesministerium für Wirtschaft und Energie (Federal Ministry …” „… processing unit FE Finite element FEM Finite element method FSI Fluid-structure interaction FV Finite volume …” „… . . . . . . . . . . . . . . . . . . . . . . . 67 4.5.5 Interpolation on Finite Element Meshes . . . . . . . . . . . . . . . . 68 V Contents 4.5.6 …”

„… finite element method (FEM) for the efficient numerical analysis of the problem. If the body undergoes …” „… numerical methods for their solution in Section 3.2. 3.1 Deformable Body Equations To study the dynamic …” „… of the infinitesimal line element dX from the reference configuration ΩX to the line element dx in …”

„… interaction ofm fields, the coupled multifield problem may be stated as a discrete system of coupled nonlinear …” „… equations gi(t,u1,u2, . . . ,ui, . . . ,um) = 0 on Ωi , i = 1, . . . ,m , (4.2) where gi is a discrete …” „… off-diagonal entries in the Jacobian matrix is complicated, and the resulting discrete system of equations may …”

„… methods that employ a discrete approximation of a continuous geometry. In comana, parts of the …” „… solver enters the time stepping procedure. In each loop cycle, the discrete field equations gi(tj,u1 …” „… must be embedded into an implicit iteration such that the set of discrete field equations gi can be …”

„… , alongside finite difference and finite element methods, has emerged as one of the most widely-used numerical …” „… , we introduce the boundary element method (BEM) as a fast and efficient method for the numerical …” „… numerical methods are the finite difference method or the finite element method, which, however, will not be …”