Search Results - "Gürlebeck, Klaus"

Conceptual modelling: Towards detecting modelling errors in engineering applications by Gürlebeck, Klaus, Legatiuk, Dmitrii, Nilsson, Henrik, Smarsly, Kay

“…Rapid advancements of modern technologies put high demands on mathematical modelling of engineering systems. Typically, systems are no longer “simple” objects,…”
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Categorical approach to modelling and to coupling of models by Gürlebeck, Klaus, Hofmann, Dirk, Legatiuk, Dmitrii

“…Solution of any engineering problem starts with a modelling process, which typically involves a choice among different kinds of models. To create a realistic…”
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Operator Calculus Approach to Comparison of Elasticity Models for Modelling of Masonry Structures by Gürlebeck, Klaus, Legatiuk, Dmitrii, Webber, Kemmar

“…The solution of any engineering problem starts with a modelling process aimed at formulating a mathematical model, which must describe the problem under…”
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Numerical and analytical calculations of the temperature and flow field in the upwind power plant by Pastohr, Henry, Kornadt, Oliver, Gürlebeck, Klaus

“…The upwind power plant is an interesting system to generate electrical power from free solar energy. The authors have carried out an analysis to improve the…”
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Mixed antiplane boundary-value problem for a piecewise-homogeneous elastic body with a semi-infinite interfacial crack by Vasileva, Iuliia, Gürlebeck, Klaus, Silvestrov, Vasily

“…Antiplane stress state of a piecewise‐homogeneous elastic body with a semi‐infinite crack along the interface is considered. The longitudinal displacements…”
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On a Dirichlet Problem for a Generalized Beltrami Equation by Gürlebeck, Klaus, Yüksel, Uğur

“…In this article we study a Dirichlet problem for a hypercomplex Beltrami equation. We prove the existence of a unique solution of the problem and give a…”
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Damage Sensitive Signals for the Assessment of the Conditions of Wind Turbine Rotor Blades Using Electromagnetic Waves by Al-Yasiri, Zainab Riyadh Shaker, Mutashar, Hayder Majid, Gürlebeck, Klaus, Lahmer, Tom

“…One of the most important renewable energy technologies used nowadays are wind power turbines. In this paper, we are interested in identifying the operating…”
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On a boundary value problem for a p-Dirac equation by Al-Yasiri, Zainab R., Gürlebeck, Klaus

“…The p‐Laplace equation is a nonlinear generalization of the Laplace equation. This generalization is often used as a model problem for special types of…”
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Some Riemann boundary value problems in Clifford analysis (I) by Zhang, Zhongxiang, Gürlebeck, Klaus

“…In this article, we first give the Plemelj formula for functions with parameter by following the classical method. Then by using the higher order Cauchy…”
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Some Riemann boundary value problems in Clifford analysis by Gürlebeck, Klaus, Zhang, Zhongxiang

“…In this paper, we mainly study the Rm (m>0) Riemann boundary value problems for functions with values in a Clifford algebra Cℓ(V3, 3). We prove a generalized…”
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On weighted Dirichlet spaces of monogenic functions in R3 by Avetisyan, Karen, Gürlebeck, Klaus

“…In a recent paper of ours, we proved that a special “harmonic conjugation” operator is not bounded in weighted Bergman spaces Lα2 of quaternion‐valued…”
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On weighted Dirichlet spaces of monogenic functions in by Avetisyan, Karen, Gürlebeck, Klaus

“…In a recent paper of ours, we proved that a special “harmonic conjugation” operator is not bounded in weighted Bergman spaces of quaternion‐valued functions in…”
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Estimates for the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice by Legatiuk, Anastasiia, Gürlebeck, Klaus, Hommel, Angela

“…This paper presents numerical analysis of the discrete fundamental solution of the discrete Laplace operator on a rectangular lattice. Additionally, to provide…”
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Three-dimensional elasticity based on quaternion-valued potentials by Weisz-Patrault, Daniel, Bock, Sebastian, Gürlebeck, Klaus

“…One of the most fruitful and elegant approach (known as Kolosov–Muskhelishvili formulas) for plane isotropic elastic problems is to use two complex-valued…”
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Special bases for solutions of a generalized Maxwell system in 3‐dimensional space by Ding, Chao, Bock, Sebastian, Gürlebeck, Klaus

“…The aim of this paper is to study complete polynomial systems in the kernel space of conformally invariant differential operators in higher spin theory. We…”
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Three-dimensional interpolation with monogenic polynomials by Gürlebeck, Klaus, Legatiuk, Dmitrii

“…One of the open problems in hypercomplex analysis is the interpolation of monogenic functions by monogenic polynomials. We consider the case of monogenic…”
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Construction of Special Solutions for the Maxwell Equations by Ding, Chao, Bock, Sebastian, Gürlebeck, Klaus

“…In this paper, we consider homogeneous polynomial solutions for the classical Maxwell equations in a time-space domain with time variable t < t 0 , where t 0…”
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The Discrete Borel–Pompeiu Formula on a Rectangular Lattice by Legatiuk, Anastasiia, Gürlebeck, Klaus, Hommel, Angela

“…Discrete function theory is a natural extension of the continuous theory to functions defined on lattices. The idea of the discrete function theory is to work…”
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Bloch’s Theorem in the Context of Quaternion Analysis by Morais, João Pedro, Gürlebeck, Klaus

“…The classical Theorem of Bloch (1924) asserts that if f is a holomorphic function on a region that contains the closed unit disk ¦ z ¦ ≤ 1 such that , then the…”
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Error Estimates for the Coupling of Analytical and Numerical Solutions by Gürlebeck, Klaus, Kähler, Uwe, Legatiuk, Dmitrii

“…In this paper we present error estimates for a continuous coupling of an analytical and a numerical solution for a boundary value problem with a singularity. A…”
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