„… simplify the problem, v is considered as a known input, e.g., provided by a possibly analytical solution of …” „… of νp for nonlinear DAE systems with known analytical solution still requires a high level of …” „… of the spatial operators, the analytical solution of the resulting abstract DAE system and an a …”

„… explain numerous di culties observed in the context of the numerical solution of ionic mass transfer …” „… in the derivation of analytical derivatives of the model states to improve the convergence in the …” „… be seen for ED systems processing complex electrolyte solutions. Here, the general formulation of the …”

„… ), the equation of state (4.10), the density model (4.15) and the analytical solutions for the velocity …” „… description of ionic mass transport in a liquid electrolyte solution and a homogeneous membrane phase. The …” „… activity coe cients and the excess volume in the electrolyte solution are introduced in Section 4.1.2 …”

„… the mathematical model of the system, Gröbner bases are used to find the number of possible solutions …” „… shown how the insight of the resulting solutions can be used in order to significantly reduce the …” „… solution variety. Those results are crucial for subsequent bone motion reconstruction in 3D ensuring a …”

„… the analytical solution of this example. As it is shown, the convergence rate of the FCM is …” „… 2.6: The FCM results (red) as compared to the analytical solution (black). 20 2 Finite cell method for …” „… element method is a successful numerical approach when trying to find a solution (usually an approximate …”

„… curves are the analytical solution. 4.2 Local refinement and adaptivity 75 10-4 10-3 10-2 10-1 100 101 …” „… the enriched FCM employing PUM of order pe = 2 (red) as compared to the analytical solution (black …” „… situations where the solution is smooth everywhere except at some specific and limited locations, i.e. there …”

„… . Section 3: Metals Test Methods and Analytical Procedures, Volume 3.01, Metals – Mechanical Testing …” „… Standards 2009. Section 3: Metals Test Methods and Analytical Procedures, Volume 3.01, Metals – Mechanical …” „… : Questions and solutions for isotropic and graded materials. In: Proceedings of 13th International Conference …”

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