Results 31 to 40 of about 250 (167)
Trefftz-Based Methods for Time-Harmonic Acoustics [PDF]
Archives of Computational Methods in Engineering, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pluymers, Bert +3 more
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Computer Assisted Methods in Engineering and Science, 2023 The purpose of the paper is to propose of a way of constructing trial functions for the indirect Trefftz method as applied to harmonic problems possessing circular holes, circular inclusions, corners, slits, and symmetry.
Jan A. Kołodziej, Anita Uściłowska
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100 years of GAMM: Motivation, history and achievements
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 1, January 2026.Abstract The International Association of Applied Mathematics and Mechanics (Gesellschaft für Angewandte Mathematik und Mechanik, GAMM) was founded in 1923 with the goal to strengthen the field of scientific engineering by the foundation of an Engineering Association with strong scientific contacts to Applied Mathematics.
Wolfgang Ehlers
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Variational Integrators and Fluid‐Structure‐Interaction at Low Reynolds‐Number
Proceedings in Applied Mathematics and Mechanics, Volume 19, Issue 1, November 2019., 2019 Abstract For the special case of incompressible and highly viscous fluids, the interaction with a rigid body can be collected in a damping matrix, relating the velocities and angular velocities of the body with the fluid force and torque. This damping matrix (a.k.a. viscous resistance matrix) depends exclusively on the geometry and needs to be computed
Dominik Kern, Michael Groß
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Trefftz methods for plane piezoelectricity
Computer Assisted Methods in Engineering and Science, 2023 Starting from the governing equations, the general solution and the complete solution set for plane piezoelectricity are derived in this paper. Subsequently, the Trefftz collocation method (TCM) is formulated.
K. Y. Sze, W. G. Jin, N. Sheng, J. Li
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International Journal for Numerical Methods in Engineering, Volume 125, Issue 24, 30 December 2024.Abstract Mixed Finite Elements (FEs) with assumed stresses and displacements provide many advantages in analysing shell structures. They ensure good results for coarse meshes and provide an accurate representation of the stress field. The shell FEs within the family designated by the acronym Mixed Isostatic Self‐equilibrated Stresses (MISS) have ...
Francesco S. Liguori +2 more
wiley +1 more source
Data‐Driven Approximated Optimal Control for Chemical Processes with State and Input Constraints
Complexity, Volume 2019, Issue 1, 2019., 2019 Input and state constraints widely exist in chemical processes. The optimal control of chemical processes under the coexistence of inequality constraints on input and state is challenging, especially when the process model is only partially known. The objective of this paper is to design an applicable optimal control for chemical processes with known ...
Mingfang He, Pietro De Lellis
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The derivation of special purpose element functions using complex solution representations
Computer Assisted Methods in Engineering and Science, 2023 For several elasticity problems, solution representations for the displacements and stresses are available. The solution representations are given in terms of "arbitrary" complex valued functions.
Reinhard Piltner
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Sparsity comparison of polytopal finite element methods
Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 3, October 2024.Abstract In this work we compare crucial parameters for efficiency of different finite element methods for solving partial differential equations on polytopal meshes. We consider the virtual element method (VEM) and different discontinuous Galerkin (DG) methods, namely, the Hybrid DG and Trefftz DG methods.
Christoph Lehrenfeld +2 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2019, Issue 1, 2019., 2019 In the paper, a numerical simulation of the Beavers‐Joseph experiment is presented. The simulation is based on a meshless method which is called the Trefftz method with the special purpose Trefftz functions. The porous medium is modeled as a regular array of fibers. Three kinds of arrays are taken under consideration: triangular, square, and hexagonal.
Magdalena Mierzwiczak +3 more
wiley +1 more source